Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series

2022/06/27 by Banerjee, Soumyarup, Sahani, Vijay · 1 citation
#11F20 (Secondary) #11M06 (Primary) 11M36 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.13331

Abstract

In this article, we obtain a transformation formula for the higher power of odd zeta values, which generalizes Ramanujan's formula for odd zeta values. We have also investigated many important applications, which in turn provide generalizations of the transformation formula of the Eisenstein series, Dedekind eta function etc.

Cited by

• Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar

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