Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series
Source
arXiv
Date Issued
2022-06-01
Author(s)
Banerjee, Soumyarup
Sahani, Vijay
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.
Subjects
Transformation formulas
Odd zeta values
Eisenstein series
Dedekind
Eta function
