paper

An Elementary Proof of Ramanujan's Identity for Odd Zeta Values

arXiv:2104.13223

Abstract

The main goal of this article is to present an elementary proof of Ramanujan's identity for odd zeta values. Our proof solely relies on a Mittag-Leffler type expansion for hyperbolic cotangent function and Euler's identity for even zeta values.

8 pages. To appear in The Journal of Classical Analysis, issue 1, volume 19, 2022