Work

An asymptotic formula for a cubic moment of $GL_2$ $L$-functions

Year: 2026

Type: preprint

Abstract: We obtain an asymptotic formula for a cubic moment of self-dual $GL_2$ $L$-functions studied by Petrow and Young, with a small extra averaging over characters. Our asymptotic consists of the main term conjectured by Conrey--Farmer--Keating--Rubinstein--Snaith and a power-saving error term whose strength depends on the amount of extra averaging.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.13095

Author: Mujdei, Catinca

Institution: University College London

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface: London School of Geometry and Number Theory

OpenAlex ID: W7213044929

Cites: 26

Cited by:

Related to: 10