Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series (2206.13331v1)

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.