1 citations · 2 across the 5 of their papers we have counts for
5 papers
Representation of even Gaussian integer à la Chen
Soumyarup Banerjee, Habibur Rahaman
In this article, we represent an even Gaussian integer with sufficiently large norm as a sum of a Gaussian prime and a Gaussian integer with at most two Gaussian prime factors akin…
A note on odd zeta values over any number field and Extended Eisenstein series
Soumyarup Banerjee, Rajat Gupta, Rahul Kumar
In this article, we have studied transformation formulas of zeta function at odd integers over an arbitrary number field which in turn generalizes Ramanujan's identity for the Riem…
Explicit transformations for generalized Lambert series associated with the divisor function and their applications
Soumyarup Banerjee, Atul Dixit, Shivajee Gupta
Let . An explicit transformation is obtained for the generalized Lambert series for Re using the…
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…
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…