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math.NT2022★ 1 cited
Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series
Soumyarup Banerjee, Vijay Sahani
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 ma…
math.NT2021
Equivalent criterion for the grand Riemann hypothesis associated to Maass cusp forms
Soumyarup Banerjee, Rahul Kumar
In this article, we obtain transformation formulas analogous to the identity of Ramanujan, Hardy and Littlewood in the setting of primitive Maass cusp form over the congruence subg…