Subconvexity of a double Dirichlet series over the Gaussian field

TL;DR

This paper proves a subconvexity bound for a double Dirichlet series associated with quadratic Hecke L-functions over the Gaussian field, advancing understanding of their analytic properties.

Contribution

It introduces a new subconvexity bound for double Dirichlet series over the Gaussian field, a novel result in the analytic theory of L-functions.

Findings

Established a subconvexity bound for the double Dirichlet series.

Extended subconvexity results to the setting of Gaussian field L-functions.

Contributed to the analytic number theory of automorphic forms over number fields.

Abstract

We establish a subconvexity bound for a double Dirichlet series involving with the quadratic Hecke $L$-functions over the Gaussian field.