Work

Non-vanishing of central values of angular Hecke $L$-functions

Year: 2026

Type: preprint

Abstract: In this paper, we evaluate asymptotically the first and second moment of central values of the family of Hecke $L$-functions associated to angular characters over imaginary quadratic number fields of class number one. We use our results to deduce a non-vanishing result concerning these $L$-functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.27493

Author: Gao, Peng

Institution: Beihang University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G7490036029

OpenAlex ID: W7223156235

Cites: 1

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Related to: 10