An Elementary Proof of Ramanujan's Identity for Odd Zeta Values
Number Theory
2022-02-04 v4
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.
Keywords
Cite
@article{arxiv.2104.13223,
title = {An Elementary Proof of Ramanujan's Identity for Odd Zeta Values},
author = {Sarth Chavan},
journal= {arXiv preprint arXiv:2104.13223},
year = {2022}
}
Comments
8 pages. To appear in The Journal of Classical Analysis, issue 1, volume 19, 2022