150 citations · 332 across the 28 of their papers we have counts for
32 papers
The First Moment of Dirichlet L-functions over Generators of the Character Group
Rizwanur Khan
We evaluate the average of the central values over the generators of the group of Dirichlet characters modulo , as through the primes.
The Second Moment of Rankin-Selberg -Functions in Conductor-Dropping Regimes
Peter Humphries, Rizwanur Khan
We prove an asymptotic formula for the second moment of -functions associated to the Rankin-Selberg convolution of two holomorphic Hecke cusp forms with equal weight.
On moments of L-functions over Dirichlet characters
Avery Bainbridge, Rizwanur Khan, Ze Sen Tang
We give a new proof of Heath-Brown's full asymptotic expansion for the second moment of Dirichlet L-functions and we obtain a corresponding asymptotic expansion for a twisted first…
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…
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
-Norm Bounds for Automorphic Forms via Spectral Reciprocity
Peter Humphries, Rizwanur Khan
Let be a Hecke-Maass cusp form on the modular surface , namely an -normalised nonconstant Laplacian eigenfunction on ${\rm SL}_…