Hurwitz Zeta Functions and Ramanujan's Identity for Odd Zeta Values

2022/05/17 by Chavan, Parth · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2205.08183

Abstract

Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the Hurwitz zeta function, generalizing the integral kernel associated to Ramanujan's identity. We also derive several infinite families of identities analogous to Ramanujan's formula.

Cited by

• On the Explicit Expression of an Extended Version of Riemann Zeta Function

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