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

页码：329 / 339

页数：11