Subconvexity bounds for twisted L-functions, II

TL;DR

This paper establishes new subconvexity bounds for twisted L-functions at the central point using a fourth moment estimate, advancing understanding of their size and distribution.

Contribution

It introduces a novel hybrid subconvexity bound for twisted L-functions, including a new case of Burgess's bound, via a fourth moment approach.

Findings

Proved hybrid subconvexity bounds at the central point.

Established a new instance of Burgess's subconvexity bound.

Enhanced techniques for bounding twisted L-functions.

Abstract

We prove hybrid subconvexity bounds twisted L-functions $L(s,f\times \chi)$ at the central point using a fourth moment estimate, including a new instance of the Burgess subconvexity bound.