June 2022 First moments of some Hecke $L$-functions of prime moduli
Peng Gao, Liangyi Zhao
Funct. Approx. Comment. Math. 66(2): 161-178 (June 2022). DOI: 10.7169/facm/1936

Abstract

We study the first moments of central values of Hecke $L$-functions associated with quadratic, cubic and quartic symbols to prime moduli. This also enables usto obtain results on first moments of central values of certain families of cubic and quartic Dirichlet $L$-functions of prime moduli.

Citation

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Peng Gao. Liangyi Zhao. "First moments of some Hecke $L$-functions of prime moduli." Funct. Approx. Comment. Math. 66 (2) 161 - 178, June 2022. https://doi.org/10.7169/facm/1936

Information

Published: June 2022
First available in Project Euclid: 17 March 2022

MathSciNet: MR4484246
zbMATH: 1495.11102
Digital Object Identifier: 10.7169/facm/1936

Subjects:
Primary: 11M06 , 11M41

Keywords: Hecke $L$-functions , Hecke characters , mean values

Rights: Copyright © 2022 Adam Mickiewicz University

Vol.66 • No. 2 • June 2022
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