Subconvexity for $GL(3) \times GL(2)$ $L$-functions in the depth aspect

TL;DR

This paper establishes subconvex bounds for $GL(3) imes GL(2)$ $L$-functions specifically in the depth aspect, advancing understanding of their growth and distribution.

Contribution

It provides the first subconvexity bounds for these $L$-functions in the depth aspect, a significant step in analytic number theory.

Findings

Proves subconvex bounds in the depth aspect.

Enhances understanding of $L$-function behavior.

Lays groundwork for further research in automorphic forms.

Abstract

In this article, we will prove subconvex bounds for $GL(3) \times GL(2)$ $L$-functions in the depth aspect.