most citedSimultaneous nonvanishing of Dirichlet -functions and twists of Hecke-Maass L-functions

9 citations · 9 across the 3 of their papers we have counts for

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math.NT2024

On the error term in a mixed moment of L-functions

Rizwanur Khan, Zeyuan Zhang

There has recently been some interest in optimizing the error term in the asymptotic for the fourth moment of Dirichlet L-functions and a closely related mixed moment of L-function…

math.NT2024

A reciprocity relation for the twisted second moment of the Riemman Zeta function

Rizwanur Khan

We prove a reciprocity relation for the twisted second moment of the Riemann Zeta function. This provides an analogue to a formula of Conrey for Dirichlet L-functions

math.NT2014★ 9 cited

Simultaneous nonvanishing of Dirichlet -functions and twists of Hecke-Maass L-functions

Soumya Das, Rizwanur Khan

We prove that given a Hecke-Maass form for and a sufficiently large prime , there exists a primitive Dirichlet character of conductor such…