Negative first moment of quadratic twists of L-functions

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.

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Publication Details

Journal
Journal of Number Theory
Published
2025-02-18
DOI
https://doi.org/10.1016/j.jnt.2025.01.003
Primary Topic
Analytic Number Theory Research
Type
article
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article

Negative first moment of quadratic twists of L-functions

Liangyi Zhao, Peng Gao
Journal of Number Theory
Analytic Number Theory Research
article

Negative first moment of quadratic twists of L-functions

Liangyi Zhao, Peng Gao
article en

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.

Journal of Number TheoryVol. 271
UNSW Sydney (AU), Beihang University (CN)
Openalex Percentile: Top 94%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Negative first moment of quadratic twists of L-functions — Liangyi Zhao, Peng Gao · Journal of Number Theory (2025) | TGRS Research Map | TGRS