The first moment of Maass form symmetric square L-functions

TL;DR

This paper establishes an asymptotic formula for the twisted first moment of Maass form symmetric square L-functions, providing uniform error estimates across all parameters, advancing understanding of their behavior on the critical line.

Contribution

It introduces a new asymptotic formula for the first moment of symmetric square L-functions of Maass forms with uniform error bounds.

Findings

Derived an asymptotic formula for the first moment

Achieved uniform error estimates across parameters

Enhanced understanding of L-functions on the critical line

Abstract

We prove an asymptotic formula for the twisted first moment of Maass form symmetric square L-functions on the critical line and at the critical point. The error term is estimated uniformly with respect to all parameters.