$t$-aspect subconvexity for $GL(2) \times GL(2)$ $L$-function

TL;DR

This paper establishes a subconvexity bound for the $GL(2) imes GL(2)$ $L$-function in the $t$-aspect using a $GL(1)$ circle method, advancing understanding of $L$-function behavior.

Contribution

It introduces a novel application of the $GL(1)$ circle method to achieve subconvexity bounds for $GL(2) imes GL(2)$ $L$-functions in the $t$-aspect.

Findings

Proves a subconvexity bound in the $t$-aspect for $GL(2) imes GL(2)$ $L$-functions.

Demonstrates effectiveness of the $GL(1)$ circle method in this context.

Abstract

In this paper we shall prove a subconvexity bound for $GL(2) \times GL(2)$ $L$-function in $t$-aspect by using a $GL(1)$ circle method.