Article ID Journal Published Year Pages File Type
4595530 Journal of Number Theory 2006 8 Pages PDF
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 Euler's 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory