IRRATIONALITY OF gamma, zeta(m) AND beta(m)

被引：2
|
作者：
Gauthier, Claude [1 ]
机构：
[1] Univ Moncton, Dept Math & Stat, Moncton, NB E1A 3E9, Canada
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2015年 / 37卷 / 01期
关键词：
irrationality; Euler's constant; Riemann's zeta function; Dirichlet's beta function; Catalan's constant;
D O I：
10.17654/JPANTAAug2015_041_052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use the uniqueness of representation of every rational number as a finite sum of reciprocal factorials to any given power m is an element of N* to prove the irrationality of Euler's constant., of all values of Riemann's zeta function zeta(m), m >= 2, and of all values of Dirichlet's beta function beta(m), with beta(2) corresponding to Catalan's constant.
引用
收藏
页码：41 / 52
页数：12
相关论文
共 50 条
12345