An elementary proof of some Ramanujan-type identities

2025/12/26 by M. A. Korolev, Korolev, M. A.
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Mathematical Theories and Applications

paper · doi:10.48550/arxiv.2512.22025

Abstract

We give an elementary proof of some identities that express the squares of Riemann zeta function at integer points in terms of the series involving hyperbolic functions, digamma function, Bernoulli numbers etc. In this version, inaccuracies in the text have been corrected and one of the bibliographic references has been updated.

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