Bounds for $GL(3)\times GL(2)$ $L$-functions and GL(3) $L$-functions

TL;DR

This paper establishes subconvexity bounds for self-dual GL(3) L-functions in the t-aspect and for GL(3) x GL(2) L-functions in the GL(2) spectral aspect, advancing understanding of their growth and distribution.

Contribution

It provides new subconvexity bounds for specific classes of automorphic L-functions, improving upon previous estimates in these aspects.

Findings

Established subconvexity bounds for self-dual GL(3) L-functions in the t-aspect.

Derived subconvexity bounds for GL(3) x GL(2) L-functions in the GL(2) spectral aspect.

Enhanced understanding of the analytic behavior of these L-functions.

Abstract

In this paper, we will give the subconvexity bounds for self dual GL(3) $L-$functions in the $t$ aspect as well as subconvexity bounds for self dual $GL(3)\times GL(2)$ $L-$functions in the GL(2) spectral aspect.