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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