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

TL;DR

This paper derives an asymptotic formula for twisted moments of GL(3)xGL(2) L-functions and uses it to show that certain automorphic forms are uniquely identified by these L-values.

Contribution

It provides the first asymptotic formula for these twisted moments and establishes a new uniqueness result for symmetric-square lifts of GL(2) Maass forms.

Findings

Asymptotic formula for twisted moments of GL(3)xGL(2) L-functions.

Uniqueness of symmetric-square lifts from central derivatives of L-functions.

Application of moment calculations to automorphic form identification.

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.