Title of article
An Euler-type formula for ζ(2k+1) Original Research Article
Author/Authors
Michael J. Dancs، نويسنده , , Tian-Xiao He، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
8
From page
192
To page
199
Abstract
In this short paper, we give several new formulas for ζ(n) when n is an odd positive integer. The method is based on a recent proof, due to H. Tsumura, of Eulerʹs classical result for even n. Our results illuminate the similarities between the even and odd cases, and may give some insight into why the odd case is much more difficult.
Keywords
Riemann zeta function , Euler polynomial , Bernoulli number , Euler’s formula
Journal title
Journal of Number Theory
Serial Year
2006
Journal title
Journal of Number Theory
Record number
715837
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