The digamma function, Euler-Lehmer constants and their p-adic counterparts

被引：11
|
作者：
Chatterjee, T. [1 ]
Gun, S. [2 ]
机构：
[1] Queens Univ, Dept Math, Kingston, ON K7L 3N6, Canada
[2] Inst Math Sci, Madras 600113, Tamil Nadu, India
来源：
ACTA ARITHMETICA | 2014年 / 162卷 / 02期
关键词：
digamma function; generalized Euler-Lehmer constants; p-adic digamma function; generalized p-adic Euler-Lehmer constants; TRANSCENDENTAL VALUES;
D O I：
10.4064/aa162-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：197 / 208
页数：12
相关论文
共 50 条
  • [1] Euler-Lehmer constants and a conjecture of Erdos
    Murty, M. Ram
    Saradha, N.
    JOURNAL OF NUMBER THEORY, 2010, 130 (12) : 2671 - 2682
  • [2] Transcendence of generalized Euler-Lehmer constants
    Gun, Sanoli
    Saha, Ekata
    Sinha, Sneh Bala
    JOURNAL OF NUMBER THEORY, 2014, 145 : 329 - 339
  • [3] On p-ADIC Euler Constants
    Abhishek Bharadwaj
    Czechoslovak Mathematical Journal, 2021, 71 : 283 - 308
  • [4] ON p-ADIC EULER CONSTANTS
    Bharadwaj, Abhishek
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (01) : 283 - 308
  • [5] Transcendental values of the p-adic digamma function
    Murty, M. Ram
    Saradha, N.
    ACTA ARITHMETICA, 2008, 133 (04) : 349 - 362
  • [6] Transcendental nature of p-adic digamma values
    Chatterjee, Tapas
    Garg, Sonam
    RESEARCH IN NUMBER THEORY, 2024, 10 (04)
  • [7] p-adic interpolating function associated with Euler numbers
    Taekyun Kim
    Daeyeoul Kim
    Ja Kyung Koo
    Journal of Nonlinear Mathematical Physics, 2007, 14 (2) : 250 - 257
  • [8] p-adic interpolating function associated with Euler numbers
    Kim, Taekyun
    Kim, Daeyeoul
    Koo, Ja Kyung
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2007, 14 (02) : 250 - 257
  • [9] ON p-ADIC EULER L-FUNCTION OF TWO VARIABLES
    Kim, Min-Soo
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2018, 36 (5-6): : 369 - 379
  • [10] A NOTE ON p-ADIC EULER MEASURE
    Kim, T.
    Kim, D. S.
    Choi, J.
    Kim, Y. H.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (02) : 327 - 332
12345