A Subconvexity Bound for Automorphic $L$-functions for $SL(3,Z)$

TL;DR

This paper establishes a conditional subconvexity bound for automorphic $L$-functions related to Maass forms on $SL(3,Z)$, advancing understanding of their size and distribution.

Contribution

It provides a new conditional subconvexity bound for $SL(3,Z)$ automorphic $L$-functions, a significant step beyond previous results.

Findings

Derived a subconvexity bound for $L$-functions of $SL(3,Z)$ Maass forms

Enhanced understanding of the size of automorphic $L$-functions

Contributed to the analytic theory of automorphic forms

Abstract

In this paper, we develop a conditional subconvexity bound for Godement-Jacquet $L$-functions associated with Maass forms for $SL(3,Z)$.