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.
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页码：329 / 339
页数：11
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