On subconvexity bounds for twisted L-functions

TL;DR

This paper establishes new subconvexity bounds for twisted L-functions at the central point, including a novel Weyl bound, advancing understanding of their size and distribution.

Contribution

It provides the first hybrid subconvexity bounds for a broad class of twisted L-functions, introducing a new Weyl-type bound.

Findings

Proved hybrid subconvexity bounds for twisted L-functions.

Established a new Weyl subconvexity bound.

Enhanced the understanding of L-function behavior at the central point.

Abstract

We prove hybrid subconvexity bounds for a wide class of twisted L-functions $L(s,f\times \chi)$ at the central point, including a new instance of the Weyl subconvexity bound.