ON A FUNCTIONAL EQUATION

被引：0

作者：

Ding Yi ^{[1
]}

机构：

[1] New Jersey City Univ, Dept Math, Jersey City, NJ USA

来源：

ACTA MATHEMATICA SCIENTIA | 2009年 / 29卷 / 02期

关键词：

Functional equation; Zeta function; Munts formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the author derives a functional equation eta(s) = [(pi/4)(s-1/2)root 2/pi Gamma(1-s) sin(pi s/2)]eta(1-s) (1) of the analytic function eta(s) which is defined by eta(s) = 1(-s)-3(-s)-5(-s)+7(-s)+... (2) for complex variable s with Re s > 1, and is defined by analytic continuation for other values of s. The author proves (1) by Ramanujan identity (see [1], [3]). Her method provides a new derivation of the functional equation of Riemann zeta function by using Poisson summation formula.

引用

页码：225 / 231

页数：7