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Elementary proof of some Ramanujan-type identities

M. A. Korolev

Abstract

We give an elementary proof of some identities that express the squares of Riemann zeta function at integer points by the series involving hyperbolic functions, digamma function, Bernoulli numbers etc.

Elementary proof of some Ramanujan-type identities

Abstract

We give an elementary proof of some identities that express the squares of Riemann zeta function at integer points by the series involving hyperbolic functions, digamma function, Bernoulli numbers etc.
Paper Structure (172 equations)

This paper contains 172 equations.