Transcendence of generalized Euler-Lehmer constants

被引：6
|
作者：
Gun, Sanoli [1 ]
Saha, Ekata [1 ]
Sinha, Sneh Bala [2 ]
机构：
[1] Inst Math Sci, Madras 600113, Tamil Nadu, India
[2] Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
来源：
JOURNAL OF NUMBER THEORY | 2014年 / 145卷
关键词：
Generalized Euler-Lehmer constants; Baker's theory of linear forms in logarithms; DIGAMMA FUNCTION;
D O I：
10.1016/j.jnt.2014.06.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the arithmetic properties of generalized Euler-Lehmer constants. We show that these infinite family of numbers are transcendental with at most one exception. This result generalizes a recent result of Murty and Zaytseva. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：329 / 339
页数：11
相关论文
共 50 条
  • [41] On Generalized D. H. Lehmer's Problem
    郑志勇
    ChineseScienceBulletin, 1993, (16) : 1340 - 1345
  • [42] SOME ALGORITHMS FOR PRIME TESTING USING GENERALIZED LEHMER FUNCTIONS
    WILLIAMS, HC
    JUDD, JS
    MATHEMATICS OF COMPUTATION, 1976, 30 (136) : 867 - 886
  • [43] On p-ADIC Euler Constants
    Abhishek Bharadwaj
    Czechoslovak Mathematical Journal, 2021, 71 : 283 - 308
  • [44] ON p-ADIC EULER CONSTANTS
    Bharadwaj, Abhishek
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (01) : 283 - 308
  • [45] Absolute series for higher Euler constants
    Young, Paul Thomas
    JOURNAL OF NUMBER THEORY, 2021, 220 : 19 - 33
  • [46] THE LEBESGUE CONSTANTS FOR THE EULER METHODS OF SUMMABILITY
    LIVINGSTON, AE
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (01) : 44 - 45
  • [47] Differential transcendence of a class of generalized Dirichlet series
    Amou, M
    Katsurada, M
    ILLINOIS JOURNAL OF MATHEMATICS, 2001, 45 (03) : 939 - 948
  • [48] Generalized Lehmer Mean for Success History based Adaptive Differential Evolution
    Stanovov, Vladimir
    Akhmedova, Shakhnaz
    Semenkin, Eugene
    Semenkina, Mariia
    IJCCI: PROCEEDINGS OF THE 11TH INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL INTELLIGENCE, 2019, : 93 - 100
  • [49] A GENERALIZED EULER PROBABILITY DISTRIBUTION
    Mouayn, Zouhair
    El Moize, Othmane
    REPORTS ON MATHEMATICAL PHYSICS, 2021, 87 (03) : 291 - 311
  • [50] NOTE ON GENERALIZED EULER TRANSFORMATION
    WYNN, P
    COMPUTER JOURNAL, 1971, 14 (04): : 437 - &
12345