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Abstract  

In this paper, we present several methods for the construction of elliptic curves with large torsion group and positive rank over number fields of small degree. We also discuss potential applications of such curves in the elliptic curve factorization method (ECM).

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Szabó, S. , Small p -groups without full-rank factorization, International Journal of Algebra and Computation , 18 (2008), 1019–1034. Szabó S. Small p-groups without full-rank

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Scientometrics
Authors: A. I. Pudovkin and Eugene Garfield

journal performance should be compared within the same field. This field specificity may be considerably diminished when using rank-normalized IF, suggested by us (Pudovkin and Garfield 2004 ). For any journal j the rank normalized impact factor

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1990 ). Each time a citation analysis is carried out to identify or to rank important sources in a given subject, it has benefited both theoreticians and practitioners in planning and designing of information systems. The result of citation

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Abstract  

If f(r) is the number of contributions of an author or rank r, then it is shown that f(r) is proportional to r, where >0. The model is dependent on the definitions of a contribution and rank of an author. Three estimation procedures are illustrated and four other scientific productivity studies and two data sets on Canadian Mathematicians are shown to adequately fit this rank-frequency relationship.

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different variables, such as professional rank and age, on authorship practices has also been explored in the literature, noting that scientists tend to sign more as last author and less often as first author as they get older (Gingras et al. 2008 ) and as

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Scientometrics
Authors: Antonio J. Gómez-Núñez, Benjamín Vargas-Quesada, Félix de Moya-Anegón and Wolfgang Glänzel

an essential matter. Review This work introduces a proposal to improve the categorization of Scopus database journals included at the SCImago Journal and Country Rank (SJR) portal (SCImago Lab 2007 ) using journal

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Abstract  

We give constructive necessary and sufficient conditions for the validity of the generalized rank reduction formula of Ouellette [12]:

\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} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$r(A - AN(M^T AN)^ - M^T A) = r(A) - r(AM(M^T AN)^ - M^T ).$$ \end{document}
We also analyze the sufficient conditions of Takane and Yanai [16] showing that some of them are also necessary.

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