Authors:
Sunanta Srisopha Division of Applied Mathematics, Faculty of Science, Valaya Alongkorn Rajabhat University under the Royal Patronage, Pathumthani, Thailand

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Teerapat Srichan Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok, 10900, Thailand

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Pinthira Tangsupphathawat Department of Mathematics, Faculty of Science and Technology, Phranakhon Rajabhat University, Bangkok, Thailand

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In this paper, we derive several asymptotic formulas for the sum of d(gcd(m,n)), where d(n) is the divisor function and m,n are in Piatetski-Shapiro and Beatty sequences.

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    Apostol, T.M. Introduction to Analytic Number Theory. Springer, New York (1976)

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    Begunts, A. V. and Goryashin, D. V. On the values of Beatty sequence in an arithmetic progression. Chebyshevskii Sb. 21, 1 (2020), 343346.

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  • [3]

    Cohen, E. Arithmetical functions of greatest common divisor. I. Proc. Amer. Math. Soc. 11, 2 (1960), 164171.

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    Deshouillers, J. M. A remark on cube-free numbers in Segal-Piatestki–Shapiro sequences. Hardy-Ramanujan Journal. 41, (2019), 127132.

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  • [5]

    Heyman, R. and Tóth, L. On certain sums of arithmetic functions involving the GCD and LCM of two positive integers. Results Math 76, (2021), Paper No. 49.

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  • [6]

    Pimsert. W., Srichan T., and Tungsupphathawat, P. Coprimality of integers in Piatetski-Shapiro sequences. Czech. Math. J. 73, (2023), 197212.

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    Rieger, R. Remark on a paper of Stux concerning squarefree numbers in non-linear sequences. Pacific. J. Math. 78, 1 (1978), 241242.

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    Shapiro, H. N. Introduction to the Theory of Numbers. Wiley, New York, (1983).

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Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • † István GYŐRI (University of Pannonia, Veszprém, Hungary)
  • János PINTZ (Rényi Institute of Mathematics, Budapest, Hungary)
  • Ferenc SCHIPP (Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary)
  • Sándor SZABÓ (University of Pécs, Pécs, Hungary)
     

Deputy Editors in Chief:

  • Erhard AICHINGER (JKU Linz, Linz, Austria)
  • Ferenc HARTUNG (University of Pannonia, Veszprém, Hungary)
  • Ferenc WEISZ (Eötvös Loránd University, Budapest, Hungary)

Editorial Board

  • Attila BÉRCZES (University of Debrecen, Debrecen, Hungary)
  • István BERKES (Rényi Institute of Mathematics, Budapest, Hungary)
  • Károly BEZDEK (University of Calgary, Calgary, Canada)
  • György DÓSA (University of Pannonia, Veszprém, Hungary)
  • Balázs KIRÁLY – Managing Editor (University of Pécs, Pécs, Hungary)
  • Vedran KRCADINAC (University of Zagreb, Zagreb, Croatia) 
  • Željka MILIN ŠIPUŠ (University of Zagreb, Zagreb, Croatia)
  • Gábor NYUL (University of Debrecen, Debrecen, Hungary)
  • Margit PAP (University of Pécs, Pécs, Hungary)
  • István PINK (University of Debrecen, Debrecen, Hungary)
  • Mihály PITUK (University of Pannonia, Veszprém, Hungary)
  • Jörg THUSWALDNER (Montanuniversität Leoben, Leoben, Austria)
  • Zsolt TUZA (University of Pannonia, Veszprém, Hungary)

Advisory Board

  • Szilárd RÉVÉSZ (Rényi Institute of Mathematics, Budapest, Hungary)  - Chair
  • Gabriella BÖHM
  • György GÁT (University of Debrecen, Debrecen, Hungary)

University of Pécs,
Faculty of Sciences,
Institute of Mathematics and Informatics
Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
(36) 72-503-600 / 4179
ltoth@gamma.ttk.pte.hu

  • Mathematical Reviews
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Mathematica Pannonica
Language English
Size A4
Year of
Foundation
1990
Volumes
per Year
1
Issues
per Year
2
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address
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Publisher
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ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)