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

2021/04/26 by Sarth Chavan, Chavan, Sarth
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT) #Primary 11M06

paper · pdf · doi:10.48550/arxiv.2104.13223

openalex publication_date 2021/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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