1 citations · 3 across the 3 of their papers we have counts for
9 papers
Subconvexity bounds for twisted L-functions, II
Rizwanur Khan
We prove hybrid subconvexity bounds twisted L-functions at the central point using a fourth moment estimate, including a new instance of the Burgess subconvexity b…
On subconvexity bounds for twisted L-functions
Rizwanur Khan
We prove hybrid subconvexity bounds for a wide class of twisted L-functions at the central point, including a new instance of the Weyl subconvexity bound.
Nonvanishing of Dirichlet L-functions, II
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
We show that for at least of the primitive Dirichlet characters of large prime modulus, the central value does not vanish, improving on the pr…
On the Random Wave Conjecture for Dihedral Maaß Forms
Peter Humphries, Rizwanur Khan
We prove two results on arithmetic quantum chaos for dihedral Maass forms, both of which are manifestations of Berry's random wave conjecture: Planck scale mass equidistribution an…
Motohashi's fourth moment identity for non-archimedean test functions and applications
Valentin Blomer, Peter Humphries, Rizwanur Khan +1
Motohashi established an explicit identity between the fourth moment of the Riemann zeta function weighted by some test function and a spectral cubic moment of automorphic L-functi…
On the Random Wave Conjecture for Eisenstein series
Goran Djanković, Rizwanur Khan
We obtain an asymptotic for the regularized fourth moment of the Eisenstein series for the full modular group, in agreement with the Random Wave Conjecture.