# Gerlits and function spaces

Author: Marion Scheepers

János Gerlits died unexpectedly in 2008. In this paper we attempt to make a small tribute to his very powerful mathematical legacy by describing the emerging impact of two ideas, γ-spaces and Gerlits-Nagy spaces, from [19] and [20].

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# New generalized topologies on generalized topological spaces due to Császár

Authors: Erdal Ekici and Bishwambhar Roy

## Abstract

We introduce new types of sets called -sets and -sets and study some of their fundamental properties. We then investigate the topologies obtained from these sets.

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# Ricci solitons on Lorentzian Walker three-manifolds

Authors: Giovanni Calvaruso and Barbara De Leo

## Abstract

We investigate Ricci solitons on Lorentzian three-manifolds (M,g f) admitting a parallel degenerate line field. For several classes of these manifolds, described in terms of the defining function f, the existence of non-trivial Ricci solitons is proved.

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# On mean values of some arithmetic functions in number fields

Author: Guangshi Lü

## Abstract

Deza and Varukhina [3] established asymptotic formulae for some arithmetic functions in quadratic and cyclotomic fields. We generalize their results to any Galois extension of the rational field. During this process we rectify the main terms in their asymptotic formulae.

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# Scholarly gratitude in five geographical contexts: a diachronic and cross-generic approach of the acknowledgment paratext in medical discourse (1950–2010)

Authors: Françoise Salager-Meyer, María Ángeles Alcaraz-Ariza, Marianela Luzardo Briceño and Georges Jabbour

## Abstract

This study analyzed the use of acknowledgements in medical articles published in five countries (Venezuela, Spain, France, UK and USA) from 1950 to 2010. For each country, we selected 54 papers (18 research papers, 18 reviews and 18 case reports), evenly distributed over six decades, from two medical journals with the highest impact factors. Only papers written by native speakers in the national language were included. The evolution of the frequency and length of acknowledgments was analyzed. Of 270 articles studied, 127 (47%) had acknowledgments. The presence of acknowledgments was associated with country (p = 0.001), this section being more common and longer in US and UK journals. Acknowledgments were most common in research papers (70 vs. 40% in case reports and 31% in reviews, p < 0.001). Reviews without acknowledgments were significantly more common than those with (69 vs. 31%), but there was no trend in case reports. Altogether, articles with acknowledgments predominated only after 2000. Since the frequency of use of acknowledgments remained stable over time in US and UK journals but increased in non-Anglophone journals, the overall increase is attributed to the change in non-English publications. Authors acknowledged sub-authorship more in English language journals than in those published in the national language in France, Spain and Venezuela. However, the practice of acknowledging is increasing in non-Anglophone journals. We conclude that the concept of intellectual indebtedness does not only differ from one geographical context to another, but also over time and from one academic genre to another.

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# Intellectual structure of stem cell research: a comprehensive author co-citation analysis of a highly collaborative and multidisciplinary field

Authors: Dangzhi Zhao and Andreas Strotmann

## Abstract

This study is an attempt to approach the intellectual structure of the stem cell research field 2004–2009 through a comprehensive author co-citation analysis (ACA), and to contribute to a better understanding of a field that has been brought to the forefront of research, therapy and political and public debates, which, hopefully, will in turn better inform research and policy. Based on a nearly complete and clean dataset of stem cell literature compiled from PubMed and Scopus, and using automatic author disambiguation to further improve results, we perform an exclusive all-author ACA of the 200 top-ranked researchers of the field by fractional citation count. We find that, despite the theoretically highly interdisciplinary nature of the field, stem cell research has been dominated by a few central medical research areas—cancer and regenerative medicine of the brain, the blood, the skin, and the heart—and a core of cell biologists trying to understand the nature and the molecular biology of stem cells along with biotechnology researchers investigating the practical identification, isolation, creation, and culturing of stem cells. It is also remarkably self-contained, drawing only on a few related areas of cell biology. This study also serves as a baseline against which the effectiveness of a range of author-based bibliometric methods and indicators can be tested, especially when based on less comprehensive datasets using less optimal analysis methods.

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# Mathematical derivation of the scale-dependence of the h-index and other h-type indices

Author: L. Egghe

## Abstract

We present a mathematical derivation of the scale-dependence of the h-index. This formula can be used in two cases: one where the units are scale-dependent and one where the units are not scale-dependent. Examples are given.

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# Self-citation: comparison between Radiology, European Radiology and Radiology for 1997–1998

Authors: Alexander N. Larcombe and Sasha C. Voss

## Abstract

This study investigates the incidence of self-citation (authors citing their own work) for scholarly articles in ten journals published by the American Physiological Society. We analysed authorship and referencing practices of all original research articles published in the first ordinary issue of each journal in both 2000 and 2010, comprising 271 and 212 articles, respectively. Self-citation is common in these journals and represents a total of 17.75% of all citations. Only 9 (1.86%) of the articles analysed did not self-cite. Author position significantly influenced the rate of self-citation with last authors being self-cited significantly more than any other author. This was likely a result of the cumulative nature of scientific research within a specific discipline and the necessary desire to promote ones own work for associated academic benefit. The country in which the work was conducted also influenced the rate of self-citation, with last authors based in North America self-citing more than last authors from Asian countries. A comparison of self-citation rates between decades (2000 and 2010) revealed an increase in the number of authors and number of citations per article between 2000 and 2010, however the mean percentage of self-cited articles did not differ between the years. Finally, there were no differences in the percentage of self-citation between the different journals analysed.

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# What do UK academics cite? An analysis of references cited in UK scholarly outputs

Authors: Claire Creaser, Charles Oppenheim and Mark A. C. Summers

## Abstract

This study used a bibliometric method to find quantitative evidence of publication and citing patterns within UK academia. The publications of a random sample of UK research—active academics for each of the years 2003 and 2008—were collected and analysed to gather data regarding referencing practices, along with any identifiable trends between the 2 years. References were categorised by type of material to show the proportions of each type used. Comparisons between the 2 years showed that the use of journal articles had increased. There was also an increase in the average number of publications per author. A large number of authors had no publications in the target years.

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# An explicit formula for the fourth moment of certain exponential sums

Authors: C. Calderón, M. J. de Velasco and M. J. Zarate

## Abstract

For integers m, n, q, k, with q,k≧1 and Dirichlet characters we define a generalized Kloosterman sum

with a Dirichlet character and a Gauss sum G(a,χ′) as coefficient, where e(z)=e 2πiz. The aim of this paper is to study the fourth power mean
obtaining explicit formulas for M k(q).

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# Generalized quotient topologies

Author: Lyngnys Emmanuel de Arruda Saraiva

## Abstract

A definition of a generalized quotient topology is given and some characterizations of this concept, up to generalized homeomorphisms, are furnished. For the first approach, we exhibit a monotonic map spanning that generalized quotient topology. We also prove that the notions of generalized normality and generalized compactness are preserved by those quotient structures.

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# A note on δ- and θ-modifications

Author: Won Keun Min

## Abstract

The notions of δ(μ 1,μ 2), θ(μ 1,μ 2) and (θ(μ 1,μ 2),θ(σ 1,σ 2))-continuity were introduced in [2]. In this paper, the characterization of the continuity is investigated, and we introduce the (δ(μ 1,μ 2),δ(σ 1,σ 2))-continuity on generalized topological spaces. Finally, we investigate the relations between (θ(μ 1,μ 2),θ(σ 1,σ 2))-continuity and (δ(μ 1,μ 2),δ(σ 1,σ 2))-continuity on generalized topological spaces

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# On a theorem of M. Satô

## Abstract

In 1953 Nash [7] introduced the class of functions Φ. In this paper the behaviour of generalized Cesàro (C,α n)-means (α n∊(−1,0)) of trigonometric Fourier series of the classes H ω∩Φ in the space of continuous functions is studied. The sharpness of the results obtained is shown.

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# A unified theory of weak contra-continuity

Authors: Takashi Noiri and Valeriu Popa

## Abstract

We introduce a new notion called weakly contra-m-continuous functions as functions from a set satisfying some minimal conditions into a topological space. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of several modifications of weak contra-continuity due to Baker [9].

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# Invariants of open books of links of surface singularities

Authors: András Némethi and Meral Tosun

If M is the link of a complex normal surface singularity, then it carries a canonical contact structure ξ can, which can be identified from the topology of the 3-manifold M. We assume that M is a rational homology sphere. We compute the support genus, the binding number and the norm associated with the open books which support ζ can, provided that we restrict ourselves to the case of (analytic) Milnor open books. In order to do this, we determine monotonity properties of the genus and the Milnor number of all Milnor fibrations in terms of the Lipman cone.We generalize results of [3] valid for links of rational surface singularities, and we answer some questions of Etnyre and Ozbagci [7, section 8] regarding the above invariants.

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# On Lomonosov’s Lemma in normed spaces

Author: Zsolt Szűcs

In this paper we give a new proof with the Fan-Glicksberg fixed point theorem to a special case of the famous Lomonosov Invariant Subspace Theorem.

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# Operator ideals and the absolute convergence of Fourier series

Author: Manuel Fugarolas

In this paper we give some relationships between the absolutely convergent Fourier series of functions belonging to Besov spaces and their connection with the theory of operator ideals. In this context, we give results in operator ideals associated with generalized approximation numbers, Weyl numbers and entropy numbers.

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# Small forbidden configurations V: Exact bounds for 4 × 2 cases

Authors: Richard Anstee, Farzin Barekat and Attila Sali

The present paper continues the work begun by Anstee, Ferguson, Griggs, Kamoosi and Sali on small forbidden configurations. We define a matrix to be simple if it is a (0, 1)-matrix with no repeated columns. Let F be a k × (0, 1)-matrix (the forbidden configuration). Assume A is an m × n simple matrix which has no submatrix which is a row and column permutation of F. We define forb (m, F) as the largest n, which would depend on m and F, so that such an A exists.Define F abcd as the (a + b + c + d) × 2 matrix consisting of a rows of [11], b rows of [10], c rows of [01] and d rows of [00]. With the exception of F 2110, we compute forb (m; F abcd) for all 4 × 2 F abcd. A number of cases follow easily from previous results and general observations. A number follow by clever inductions based on a single column such as forb (m; F 1111) = 4m − 4 and forb (m; F 1210) = forb (m; F 1201) = forb (m; F 0310) = ( 2 m )+m+ 2 (proofs are different). A different idea proves forb (m; F 0220) = ( 2 m ) + 2m − 1 with the forbidden configuration being related to a result of Kleitman. Our results suggest that determining forb (m; F 2110) is heavily related to designs and we offer some constructions of matrices avoiding F 2110 using existing designs.

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# Stanley’s conjecture for critical ideals

Authors: Azeem Haider and Sardar Khan

Let S = K[x 1,…,x n] be a polynomial ring in n variables over a field K. Stanley’s conjecture holds for the modules I and S/I, when IS is a critical monomial ideal. We calculate the Stanley depth of S/I when I is a canonical critical monomial ideal. For non-critical monomial ideals we show the existence of a Stanley ideal with the same depth and Hilbert function.

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# Voronovskaja’s theorem, shape preserving properties and iterations for complex q-Bernstein polynomials

Author: Sorin Gal

In this paper, first we prove Voronovskaja’s convergence theorem for complex q-Bernstein polynomials, 0 < q < 1, attached to analytic functions in compact disks in ℂ centered at origin, with quantitative estimate of this convergence. As an application, we obtain the exact order in approximation of analytic functions by the complex q-Bernstein polynomials on compact disks. Finally, we study the approximation properties of their iterates for any q > 0 and we prove that the complex q n-Bernstein polynomials with 0 < q n < 1 and q n → 1, preserve in the unit disk (beginning with an index) the starlikeness, convexity and spiral-likeness.

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# Can a bibliometric indicator predict the success of an analgesic?

Author: Igor Kissin

## Abstract

In the assessment of success of new analgesic drugs over the past 50 years (Kissin, Anesth Analg 110:780–789, ) we observed a difference in the publication response to a new drug between biomedical journals in general and top journals: number of published articles on a drug increased (and declined) more rapidly in the top journals. Based on this phenomenon we present a new publication indicator—the Top Journal Selectivity Index (TJSI). It represents the ratio between the number of all types of articles in the top 20 biomedical journals and the number of articles in all (>5,000) journals covered by Medline, over 5 years after a drug's introduction. Ten analgesics developed during the period 1986–2009 were selected for analysis. Three publication indices were used for assessment: the number of all types of articles presented in Medline, the number of articles covering only randomized controlled trials (RCT), and the Top Journal Selectivity Index. We also assessed the success score in the development of these analgesics based on the following criteria: novelty of molecular target, analgesic efficacy, and response by the pharmaceutical market. The relationships between the publication indices and analgesic's success score were determined with the use of the Pearson correlation coefficient. Positive relationship was found only with the Top Journal Selectivity Index (r = 0.876, p < 0.001). We suggest that this index can predict success in drug development at least in the field of analgesics.

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# Longitudinal and cross-sectional study of registered nurses in Sweden who undertake a PhD showing that nurses continue to publish in English after their PhD but male nurses are more productive than female nurses

Authors: Lars H. Breimer and Janeth Leksell

## Abstract

A review of 649 PhDs undertaken by Swedish nurses and midwives found no evidence that they stop publishing in English after their PhD. The proportion of 70% for any publication in English was similar to that of MDs. A higher proportion of male than female nurses were high publishers of six or more (52% vs. 23%) and eight or more papers (44% vs. 14%) in a 5 year period. The standard of the PhDs of Swedish nurses was comparable to those of other biomedical PhDs and was consistent in pattern over the past two decades. The gender pattern of external examiners of female nurses evolved in that 1992–94, 75% were men, during 1996–97, 54% were men and from 2000 onwards 46% were men. Nurses were examined by foreign examiners in 20% of examinations. They came primarily from Norway and USA.

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# Mining citation information from CiteSeer data

Author: Dalibor Fiala

## Abstract

The CiteSeer digital library is a useful source of bibliographic information. It allows for retrieving citations, co-authorships, addresses, and affiliations of authors and publications. In spite of this, it has been relatively rarely used for automated citation analyses. This article describes our findings after extensively mining from the CiteSeer data. We explored citations between authors and determined rankings of influential scientists using various evaluation methods including citation and in-degree counts, HITS, PageRank, and its variations based on both the citation and collaboration graphs. We compare the resulting rankings with lists of computer science award winners and find out that award recipients are almost always ranked high. We conclude that CiteSeer is a valuable, yet not fully appreciated, repository of citation data and is appropriate for testing novel bibliometric methods.

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# Peer review and over-competitive research funding fostering mainstream opinion to monopoly

Author: Hui Fang

## Abstract

The aim of peer review is to separate the wheat from the chaff for publication and research funding. In the excessive competition, this mechanism would only select the wheat of mainstream. Up to now, almost all discussions on the consequence of the short-comings of peer review are limited to qualitatively description. I propose a model of “peer-group-assessed-grant-based-funding-system” combined with tenure system and over-competitive research funding review process. It is the first on the quantitatively investigation which dramatizes the current short-comings of the process. My simulation shows that it takes about two or three generations of researchers for the mainstream of a complicated research topic obtaining monopoly supremacy, with only the aid of the mechanism the model described. Based on the computation results, suggestions are proposed to avoid loss of self-correction capability on popularity determined single research direction which could be wrong on very complicated research topics.

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# Predicting faculty job centrality in communication

Authors: Thomas Hugh Feeley, Katherine Hart LaVail and George A. Barnett

## Abstract

Data from 1,581 faculty members affiliated with 98 doctoral-granting Communication programs in the United States were analyzed to determine normative publication rates and predictors of position centrality in the faculty hiring network. The Communication Institute for Online Scholarship (CIOS) database was used to measure publication frequency in refereed journals. Position centrality was measured using a Communication program's relative position in the hiring network as established by Barnett, Danowski, Feeley, and Stalker (). The average publication frequencies by academic rank were as follows: assistant professors averaged 2.29 articles (N = 441, SD = 3.29); associate professors averaged 6.69 articles (N = 497, SD = 5.77); professors averaged 10.92 articles (N = 542, SD = 12.09). Results from multiple regression analyses indicate the number of publications for faculty members and position centrality of where one earned his or her doctoral degree significantly predicted current position centrality. Publication numbers for one's advisor and year of earned doctorate did not emerge as significant predictors of position centrality.

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# A socio-technical perspective on e-government issues in developing countries: a scientometrics approach

Authors: Gohar Feroz Khan, Junghoon Moon, Han Woo Park, Bobby Swar and Jae Jeung Rho

## Abstract

Many researchers have analyzed e-government literature as a whole or a specific area to focus on statistical methodologies, lessons learnt, or problem related to the area. However, no investigation from socio-technical perspective on e-government issues, in developing countries (DCs), has been carried out. Utilizing scientometrics approach, we analyzed and synthesized e-government (EG) literature that deals with the issues/topics in developing countries from the lens of socio-technical theory (STT). 145 articles from 7 core e-government journals published during the last decade were selected and reviewed for analyzing e-government literature related to developing countries. The growth pattern of e-government literature showed that e-government studies pertaining developing countries issues/topics have rapidly increased during the last decade; covering a range of topics/issues studied from socio-technical aspects. We found that e-government literature in developing countries has somewhat adopted a balanced approach and is moving away from a merely theoretical or conceptual bases toward an empirical foundation; however, the literature lacked depth and balance in terms of issues/topics discussed and methodologies applied. In the light of the findings, strengths, limitations, and future directions for e-government research in developing countries are discussed.

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# A national-scale cross-time analysis of university research performance

Authors: Giovanni Abramo, Ciriaco Andrea D'Angelo and Flavia Di Costa

## Abstract

Research policies in the more developed nations are ever more oriented towards the introduction of productivity incentives and competition mechanisms intended to increase efficiency in research institutions. Assessments of the effects of these policy interventions on public research activity often neglect the normal, inherent variation in the performance of research institutions over time. In this work, we propose a cross-time bibliometric analysis of research performance by all Italian universities in two consecutive periods (2001–2003 and 2004–2008) not affected by national policy interventions. Findings show that productivity and impact increased at the level of individual scientists. At the level of university, significant variation in the rank was observed.

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# European research policy and bibliometric indicators, 1990–2005

Authors: Henri Delanghe, Brian Sloan and Ugur Muldur

## Abstract

This paper describes and analyses the role played in the development of bibliometric indicators—and the use made of bibliometric indicators for policy purposes—by the European Commission's Directorate-General Research in the period 1990–2005.

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# On a theorem of Ch. Gorovic on the zeros of functions in the Bergman spaces

Author: A. ДолгоБородов

## Реэюме

Иэучается распределение модулей пулей z k(f) функций f иэ пространств Бергмана A α p со степенным весом t α (а > −1) и иэ блиэких к ним пространств аналитических функций. Основным предметом иэучения являутся оценки проиэведений

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\prod\limits_{k = 1}^n {\left| {z_k (f)} \right|^{ - 1} }$$ \end{document}
. Оценки таких проиэведений для функций fA α p были даны Ч. Горовицем в работе 1974 года. Однако целуй ряд сушественных вопросов относительно зтих оценок с тех пор не был снят. В настояшей работе на некоторые иэ зтих вопросов получены ответы.

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# Scientometrics of big science: a case study of research in the Sloan Digital Sky Survey

Authors: Jian Zhang, Michael S. Vogeley and Chaomei Chen

## Abstract

Large-scale scientific projects have become a major impetus of scientific advances. But few studies have specifically analyzed how those projects bolster scientific research. We address this question from a scientometrics perspective. By analyzing the bibliographic records of papers relevant to the Sloan Digital Sky Survey (SDSS), we found that the SDSS helped scientists from many countries further develop their own research; investigators initially formed large research groups to tackle key problems, while later papers involved fewer authors; and the number of research topics increased but the diversity of topics remains stable. Furthermore, the entropy analysis method has proven valuable in terms of analyzing patterns of research topics at a macroscopic level.

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# Абсолютная сходимость рядов Фурье по системе Уолща и смежные реэультаты

Author: Ferenc Móricz

## Abstract

We consider the Walsh orthonormal system on the interval [0, 1) in the Paley enumeration and the Walsh-Fourier coefficients

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\hat f$$ \end{document}
(n), n ∈ ℕ, of functions fL p for some 1 < p ≤ 2. Our aim is to find best possible sufficient conditions for the finiteness of the series Σn=1 a n|
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\hat f$$ \end{document}
(n)|r, where {a n} is a given sequence of nonnegative real numbers satisfying a mild assumption and 0 < r < 2. These sufficient conditions are in terms of (either global or local) dyadic moduli of continuity of f. The sufficient conditions presented in the monograph [2] are special cases of our ones.

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# Аппроксимация средними Нëрлунда сумм по квадратам двойного ряда Фурье-Уолща

Author: Károly Nagy

## Abstract

In this article we discuss the Nörlund means of cubical partial sums of Walsh-Fourier series of a function in L p (1 ≤ p ≤ ∞). We investigate the rate of the approximation by this means, in particular, in Lip(α, p), where α > 0 and 1 ≤ p ≤ ∞. In case p = ∞ by L p we mean C W, the collection of the uniformly W-continuous functions. Our main theorems state that the approximation behavior of the two-dimensional Walsh- Nörlund means is so good as the approximation behavior of the one-dimensional Walsh- Nörlund means. As special cases, we get the Nörlund logarithmic means of cubical partial sums of Walsh-Fourier series discussed recently by Gát and Goginava [5] in 2004 and the (C, β)-means of Marcinkiewicz type with respect to double Walsh-Fourier series discussed by Goginava [10]. Earlier results on one-dimensional Nörlund means of the Walsh-Fourier series was given by Móricz and Siddiqi [14].

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# Устойчивый топологический ранг H ∞(Ω) для круговых областей

Authors: Raymond Mortini, Rudolf Rupp, Amol Sasane and Brett Wick

## Abstract

Let Ω be a circular domain, that is, an open disk with finitely many closed disjoint disks removed. Denote by H (Ω) the Banach algebra of all bounded holomorphic functions on Ω, with pointwise operations and the supremum norm. We show that the topological stable rank of H (Ω) is equal to 2. The proof is based on Suárez’s theorem that the topological stable rank of H (

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{D}$$ \end{document}
) is equal to 2, where
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{D}$$ \end{document}
is the unit disk. We also show that for circular domains symmetric to the real axis, the Bass and topological stable ranks of the real-symmetric algebra H (Ω) are 2.

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# A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. I

Author: G. D. Dimov

## Abstract

Generalizing de Vries’ duality theorem [9], we prove that the category HLC of locally compact Hausdorff spaces and continuous maps is dual to the category DHLC of complete local contact algebras and appropriate morphisms between them.

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# Detecting h-index manipulation through self-citation analysis

Authors: Christoph Bartneck and Servaas Kokkelmans

## Abstract

The h-index has received an enormous attention for being an indicator that measures the quality of researchers and organizations. We investigate to what degree authors can inflate their h-index through strategic self-citations with the help of a simulation. We extended Burrell's publication model with a procedure for placing self-citations, following three different strategies: random self-citation, recent self-citations and h-manipulating self-citations. The results show that authors can considerably inflate their h-index through self-citations. We propose the q-index as an indicator for how strategically an author has placed self-citations, and which serves as a tool to detect possible manipulation of the h-index. The results also show that the best strategy for an high h-index is publishing papers that are highly cited by others. The productivity has also a positive effect on the h-index.

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# Holomorphically planar conformal vector fields on contact metric manifolds

Author: Amalendu Ghosh

## Abstract

We study holomorphically planar conformal vector fields (HPCV) on contact metric manifolds under some curvature conditions. In particular, we have studied HPCV fields on (i) contact metric manifolds with pointwise constant ξ-sectional curvature (under this condition M is either K-contact or V is homothetic), (ii) Einstein contact metric manifolds (in this case M becomes K contact), (iii) contact metric manifolds with parallel Ricci tensor (under this condition M is either K-contact Einstein or is locally isometric to E n+1×S n(4)).

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# Industry evolution and key technologies in China based on patent analysis

Authors: Jia Zheng, Zhi-yun Zhao, Xu Zhang, Dar-zen Chen, Mu-hsuan Huang, Xiao-ping Lei, Ze-yu Zhang, Yun-hua Zhao and Run-sheng Liu

## Abstract

Patents are the manifestation of the industry's research and development (R&D) endeavor; therefore, this paper studies the industry evolution of and key technologies in China from the perspective of patent analysis. Patents in six types of industries, including Chemical (excluding Drugs), Computers and Communications, Drugs and Medical, Electrical and Electronics (E&E), Mechanical, and Others are analyzed in this study. Findings from the analysis show a steady increase of US granted utility patents in China as well as percentage of these patents in the world over the period between 2003 and 2008. All the above industries in China have been growing rapidly during this period, which is very different from the global industry development. Despite the rapid development, the citation rates of these patents have been low, reflecting a need for improvement in the quality of patents and R&D performance for these six industries in China in order to exert more influence in the industry world. The analysis on patents also reveals China's industry distribution to be similar to the global industry distribution, with the exception of E&E industry which weights over one third of the total patents in technologies. The E&E industry is also the field with largest economic growth which rises more rapidly after 2006 with a sudden increase of patents in USPC 361. Detailed tracking of the key technology evolution reveals that 90% of the newly issued patents in USPC 361 after 2006 are owned by Foxconn Technology Co., Ltd, pointing to an unbalanced R&D environment in China's E&E industry sector. By providing the insight into the evolution of China's industrial and technological development through the perspective of patent analysis, this paper hopes to provide an objective statistic reference for future policy directions and academic researches.

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# Overturning some assumptions about the effects of evaluation systems on publication performance

Authors: Carmen Osuna, Laura Cruz-Castro and Luis Sanz-Menéndez

## Abstract

In 1989 the Spanish Government established an individual retrospective research evaluation system (RES) for public researchers. Policy makers have associated the establishment of this evaluation system with the significant increase in the volume of scientific publications attributed to Spain over the last decades. In a similar vein to the analyses of other country cases, some scholars have also claimed that the growth of Spain's international scientific publications is a result of the establishment of the new evaluation system. In this paper, we provide a methodological revision of the validity threats in previous research, including some interrupted time-series analyses and control groups to investigate the effects of this policy instrument on the number of papers produced by Spanish authors. In the years following the establishment of the evaluation system, the results indicate a considerable increase in the number of papers attributed to Spanish authors among those eligible for evaluation (the “treated” group), but also in the control groups. After testing various alternative explanations, we conclude that the growth in Spanish publications cannot be attributed indisputably to the effect of the establishment of the RES, but rather to the increase of expenditure and number of researchers in the Spanish R&D system along with some maturation effects. We take this case as an example of the need to improve and refine methodologies and to be more cautious when attributing effects to research evaluation mechanisms at the national level.

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# Interdisciplinarity and the intellectual base of literature studies: citation analysis of highly cited monographs

Author: Björn Hammarfelt

## Abstract

This article studies interdisciplinarity and the intellectual base of 34 literature journals using citation data from Web of Science. Data from two time periods, 1978–1987 and 1998–2007 were compared to reveal changes in the interdisciplinary citing of monographs. The study extends the analysis to non-source publications; using the classification of monographs to show changes in the intellectual base. There is support for increased interdisciplinary citing of sources, especially to the social sciences, and changes in the intellectual base reflect this. The results are explained using theories on the intellectual and social organization of scientific fields and the use of bibliometric methods on the humanities is discussed. The article demonstrates how citation analysis can provide insights into the communication patterns and intellectual structure of scholarly fields in the arts and humanities.

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# A journal co-citation analysis of library and information science in China

Authors: Chang-Ping Hu, Ji-Ming Hu, Yan Gao and Yao-Kun Zhang

## Abstract

This paper aims to reveal the relationship and structure of library and information science (LIS) journals in China. 24 core LIS journals in China are selected and the relevant data of journal co-citation are retrieved from Chinese Journal Full-Text Database constructed by China National Knowledge Infrastructure during the period of 1999–2009. By calculating mean co-citation frequencies and correlation coefficients, we find that there is a strong relationship among LIS journals in China. Utilizing the methods of cluster analysis, multidimensional scaling analysis and factor analysis, we analyze the data of journal co-citation. LIS journals in China are divided into four clusters. The relatedness among journals is shown manifestly through their locations in the two-dimensional map. A three-factor solution is obtained with the factor loading of each journal. Finally, we interpret and discuss the results to get some conclusions and also expect to describe the network characters of journal co-citation in future research.

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# Erratum to: On using the Shanghai ranking to assess the research performance of university systems

Author: Domingo Docampo
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# Is correspondence reflected in the author position? A bibliometric study of the relation between corresponding author and byline position

Authors: Pauline Mattsson, Carl Johan Sundberg and Patrice Laget

## Abstract

Bibliometric indicators are increasingly used to fund and evaluate scientific research. Since the number of authors in a paper and the number of has increased it is difficult to determine the individual contribution of authors. Suggested approaches include the study of author position or the corresponding author. Our findings show that the corresponding author is most likely to appear first and then last in the byline. The results are dependent on number of authors in a paper and national differences exist. This underscores the need to take into account both the number of authors on a paper and their position in the byline to be accurate when measuring author contribution.

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# Additive bases arising from functions in a Hardy field

Authors: T. H. Chan, A. V. Kumchev and M. Wierdl

## Abstract

A classical additive basis question is Waring’s problem. It has been extended to integer polynomial and non-integer power sequences. In this paper, we will consider a wider class of functions, namely functions from a Hardy field, and show that they are asymptotic bases.

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# Asymptotic expansion for log n! in terms of the reciprocal of a triangular number

Author: Gergő Nemes

## Abstract

Ramanujan suggested an expansion for the nth partial sum of the harmonic series which employs the reciprocal of the nth triangular number. This has been proved in 2006 by Villarino, who speculated that there might also exist a similar expansion for the logarithm of the factorial. This study shows that such an asymptotic expansion indeed exists and provides formulas for its generic coefficient and for the bounds on its errors.

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# Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros – an interpolation problem

Author: Á. P. Horváth

## Abstract

In a Freud-type weighted (w) space, introducing another weight (v) with infinitely many roots, we give a complete and minimal system with respect to vw, by deleting infinitely many elements from the original orthonormal system with respect to w. The construction of the conjugate system implies an interpolation problem at infinitely many nodes. Besides the existence, we give some convergence properties of the solution.

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# Circular quartics in the isotropic plane generated by projectively linked pencils of conics

Author: E. Jurkin

## Abstract

A curve in the isotropic plane is circular if it passes through the absolute point F. Its degree of circularity is defined as the number of its intersection points with the absolute line f falling into the absolute point F.

A curve of order four can be obtained as a locus of the intersections of corresponding conics of projectively linked pencils of conics. In this paper the conditions that the pencils and the projectivity have to fulfill in order to obtain a circular quartic of a certain degree of circularity have been determined analytically. The quartics of all degrees of circularity and all types (depending on their position with respect to the absolute figure) can be constructed using these results.

The results have first been stated for any projective plane and then their isotropic interpretation has been given.

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# A collective and abridged lexical query for delineation of nanotechnology publications

Authors: Morteza Maghrebi, Ali Abbasi, Saeid Amiri, Reza Monsefi and Ahad Harati

## Abstract

In order to monitor articles/patents in nanotechnology, there is little agreement on a universal lexical query or even an explicit definition of nanotechnology. Here in the light of a proposed definition, a set of case studies has been conducted to remove keywords which are not exclusive to nanotechnology. This resulted in a collective and abridged lexical query (CALQ) for nanotechnology delineation. Through bibliometric quantification of already-proposed as well as the novel keywords, it was shown that all keywords included in CALQ have considerable exclusive retrieval and precision, while the removed keywords do not satisfy either of these numerical thresholds. This approach may also be applied for the future updating of CALQ.

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# Consecutive integers in high-multiplicity sumsets

Author: Vsevolod F. Lev

## Abstract

Sharpening (a particular case of) a result of Szemerédi and Vu [4] and extending earlier results of Sárközy [3] and ourselves [2], we find, subject to some technical restrictions, a sharp threshold for the number of integer sets needed for their sumset to contain a block of consecutive integers, whose length is comparable with the lengths of the set summands.

A corollary of our main result is as follows. Let k,l≥1 and n≥3 be integers, and suppose that A 1,…,A k⊆[0,l] are integer sets of size at least n, none of which is contained in an arithmetic progression with difference greater than 1. If k≥2⌈(l−1)/(n−2)⌉, then the sumset A 1+⋅⋅⋅+A k contains a block of at least k(n−1)+1 consecutive integers.

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# Convexity, moduli of smoothness and a Jackson-type inequality

Authors: Z. Ditzian and A. Prymak

## Abstract

For a Banach space B of functions which satisfies for some m>0

a significant improvement for lower estimates of the moduli of smoothness ω r(f,t)B is achieved. As a result of these estimates, sharp Jackson inequalities which are superior to the classical Jackson type inequality are derived. Our investigation covers Banach spaces of functions on ℝd or for which translations are isometries or on S d−1 for which rotations are isometries. Results for C 0 semigroups of contractions are derived. As applications of the technique used in this paper, many new theorems are deduced. An L p space with 1<p<∞ satisfies () where s=max  (p,2), and many Orlicz spaces are shown to satisfy () with appropriate s.

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# Dirichlet operators with convex potentials on the half-line

Authors: Duo-Yuan Chen and Min-Jei Huang

## Abstract

We consider the Dirichlet operator H t=−d 2/dx 2+q(x) on L 2([t,∞)), where q is a convex potential with q(x)→∞ as x→∞. We show that the eigenvalue gap Γ(t) of H t is monotone increasing as t increases from −∞ to ∞. We also show that Γ(t) is strictly increasing if q is not linear at infinity. An asymptotic estimate of Γ(t) for quadratic potentials is obtained.

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# Endpoint asymptotics for Müntz–Legendre polynomials

Author: Úlfar F. Stefánsson

## Abstract

Müntz–Legendre polynomials L n(Λ;x) associated with a sequence Λ={λ k} are obtained by orthogonalizing the system in L 2[0,1] with respect to the Legendre weight. Under very mild conditions on Λ, we establish the endpoint asymptotics close to x=1. The main result is

where and J 0 is the Bessel function of order 0.

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# Exponential sums over primes and the prime twin problem

Author: Yvonne Buttkewitz

## Abstract

The purpose of this paper is to obtain an effective estimate of the exponential sum (where e(α)=e 2π i α, α,β∊ℝ, (a,q)=1 and Λ is the von Mangoldt function) in the range and . It improves Daboussi’s estimate [2, Theorem 1] in the range q≤(log x)D and x(log x)Dq, D>0 and is valid in a wider range for β.

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# Generalized -concave conditions and their applications

Author: Won Kyu Kim

## Abstract

We first introduce two general -concave conditions, and show the implications between -concave, diagonally -concave, diagonally -quasiconcave, and γ-diagonally -quasiconcave conditions which generalize both concavity and quasiconcavity simultaneously without assuming the linear structure. Using the γ-diagonal -quasiconcavity, we prove two non-compact minimax inequalities in a topological space which generalize Fan’s minimax inequality and its generalizations in several aspects. As applications, we will prove a general minimax theorem and basic geometric formulations of the minimax inequality in a topological space.

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# Generalized measures of noncompactness of sets and operators in Banach spaces

Authors: E. Brandani da Silva and D. L. Fernandez

## Abstract

New measures of noncompactness for bounded sets and linear operators, in the setting of abstract measures and generalized limits, are constructed. A quantitative version of a classical criterion for compactness of bounded sets in Banach spaces by R. S. Phillips is provided. Properties of those measures are established and it is shown that they are equivalent to the classical measures of noncompactness. Applications to summable families of Banach spaces, interpolations of operators and some consequences are also given.

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# An improvement on Waring–Goldbach problem for unlike powers

Author: Zhixin Liu

## Abstract

Let p i be prime numbers. In this paper, it is proved that for any integer k≧5, with at most exceptions, all positive even integers up to N can be expressed in the form . This improves the result for some c>0 due to Lu and Shan [12], and it is a generalization for a series of results of Ren and Tsang [15], [16] and Bauer [1–4] for the problem in the form . This method can also be used for some other similar forms.

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# International collaboration of three ‘giants’ with the G7 countries in emerging nanobiopharmaceuticals

Authors: Qingjun Zhao and Jiancheng Guan

## Abstract

Nanobiopharmaceuticals is a hopeful research domain from recent scientific advances with massive marketable potential. Although some researchers have studied international collaboration from some aspects, few articles are as comprehensive as this article to consider international cooperation from so many different aspects. We lay more emphasis on international collaboration in the field of nanobiopharmaceuticals involving China. Incremental citation impact values show that in order to move forward and improve the overall competitiveness in the field, China requires to carry out more international collaboration in the field, especially with USA, Germany, and England. Startlingly, multinational collaboration does not sway Chinese citation impact as much as we anticipate in the field. China has reached the first rank in the world in terms of publication amount per year in the field in 2009. Few papers about international collaboration compare small world phenomenon. We use small world quotient to find that it is important for Chinese international co-authors to strengthen to cultivate a cooperation networks in which a node's partners are also buddies to each other.

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# Littlewood–Paley–Stein type square functions based on Laguerre semigroups

Author: Tomasz Szarek

## Abstract

We investigate g-functions based on semigroups related to multi-dimensional Laguerre function expansions of convolution type. We prove that these operators can be viewed as Calderón–Zygmund operators in the sense of the underlying space of homogeneous type, hence their mapping properties follow from the general theory.

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# A note on the paper of Kohli and Vashistha

Authors: J. K. Kohli, S. Kumar and S. Vashistha

## Abstract

In [1] Kohli and Vashistha gave an analogue of probabilistic version of Pant‘s Theorem ([2], Theorem 1). We note that mappings defined in Examples 3.6 to 3.8 of [1] are not self maps as claimed in the Definitions 3.1 and 3.2. In this context, we provide some relevant examples to complete the interesting results.

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# On almost clopen continuity

Authors: A. Kanibir and I. L. Reilly

## Abstract

Recently the class of clopen continuous functions between topological spaces has been generalized by the definition of the class of almost clopen continuous functions. The aim of this paper is to reconsider this second class of functions from the perspective of change of topology. Indeed, we show that the concept of almost clopen continuity coincides with the classical notion of continuity provided that suitable changes are made to the topologies of the domain and codomain of the function. We investigate some of the consequences of this situation.

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# On g-α-irresolute functions

Authors: Shi-Zhong Bai and Yan-Ping Zuo

## Abstract

We introduce the so-called g-α-irresolute functions in generalized topological spaces. We obtain some properties and several characterizations of this type of functions.

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# On ∗-minimal ∗-ideals and ∗-biideals in involution rings

Author: Usama A. Aburawash

## Abstract

For semiprime involution rings, we determine some ∗-minimal ∗-ideals using idempotent elements. Nevertheless, ∗-minimal ∗-biideals are characterized by idempotent elements. Moreover, the involutive version of a theorem due to Steinfeld, which investigates a semiprime involution ring A if A=SocA, is given. Finally, semiprime involution rings having no proper nonzero ∗-biideals are characterized.