paper

Twisted moments of GL(3)xGL(2) L-functions

arXiv:2202.01911 · doi:10.1142/S179304212250066X

Abstract

We compute an asymptotic formula for the twisted moment of GL(3)xGL(2) L-functions and their derivatives. As an application we prove that symmetric-square lifts of GL(2) Maass forms are uniquely determined by the central values of the derivatives of GL(3)xGL(2) L-functions.

30 pages, to appear in IJNT