Soumyarup Banerjee, Vijay Sahani
Published 2022-06-27Version 1
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.
Periodic analogues of Dedekind sums and transformation formulas of analytic Eisenstein series
On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions
Recent developments pertaining to Ramanujan's formula for odd zeta values
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