Transcendence of Generalized Euler Constants

被引：8

作者：

Murty, M. Ram ^{[1
]}

Zaytseva, Anastasia ^{[1
]}

机构：

[1] Queens Univ, Dept Math, Kingston, ON K7L 3N6, Canada

来源：

AMERICAN MATHEMATICAL MONTHLY | 2013年 / 120卷 / 01期

关键词：

D O I：

10.4169/amer.math.monthly.120.01.048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of analogues of Euler's constant gamma and use Baker's theory of linear forms in logarithms to study its arithmetic properties. In particular, we show that with at most one exception, all of these analogues are transcendental.

引用

页码：48 / 54

页数：7

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