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math.NT2025
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.
math.NT2025★ 1 cited
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…