Work

Negative first moment of quadratic twists of L-functions

Year: 2025

Type: article

Abstract: We evaluate asymptotically the negative first moment at points larger than 1/2 of the family of quadratic twists of automorphic L -functions using multiple Dirichlet series under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture.

Source: Journal of Number Theory

DOI: 10.1016/j.jnt.2025.01.003

Authors: Peng Gao, Liangyi Zhao

Institutions: Beihang University, UNSW Sydney

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: University of New South Wales, National Natural Science Foundation of China