Subconvexity of twisted Shintani zeta functions

TL;DR

This paper establishes subconvex bounds for the Maass form twisted version of Shintani's zeta functions, extending previous results on class number enumeration to automorphic forms.

Contribution

It provides the first subconvexity results for the twisted Maass form version of Shintani's zeta functions, advancing understanding of automorphic L-functions.

Findings

Proved subconvexity bounds for twisted Shintani zeta functions

Extended previous class number results to automorphic forms

Enhanced techniques for bounding automorphic L-functions

Abstract

Previously the authors proved subconvexity of Shintani's zeta function enumerating class numbers of binary cubic forms. Here we return to prove subconvexity of the Maass form twisted version.