December 2024 Lower bounds for moments of quadratic twists of modular $L$-functions
Peng Gao, Liangyi Zhao
Funct. Approx. Comment. Math. 71(2): 183-200 (December 2024). DOI: 10.7169/facm/2112

Abstract

We establish sharp lower bounds for the $2k$-th moment in the range $k \geq 1/2$ of the family of quadratic twists of modular $L$-functions at the central point.

Citation

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Peng Gao. Liangyi Zhao. "Lower bounds for moments of quadratic twists of modular $L$-functions." Funct. Approx. Comment. Math. 71 (2) 183 - 200, December 2024. https://doi.org/10.7169/facm/2112

Information

Published: December 2024
First available in Project Euclid: 22 May 2024

MathSciNet: MR4839651
Digital Object Identifier: 10.7169/facm/2112

Subjects:
Primary: 11F67 , 11M06

Keywords: lower bounds , modular $L$-functions , moments , quadratic twists

Rights: Copyright © 2024 Adam Mickiewicz University

Vol.71 • No. 2 • December 2024
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