Twisted first moment of quadratic and quadratic twist $L$-functions

Peng Gao; Liangyi Zhao

doi:10.7169/facm/2120

Abstract

We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet $L$-function and a quadratic twist of a modular $L$-function.

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Peng Gao. Liangyi Zhao. "Twisted first moment of quadratic and quadratic twist $L$-functions." Funct. Approx. Comment. Math. 70 (1) 101 - 127, March 2024. https://doi.org/10.7169/facm/2120

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Published: March 2024

First available in Project Euclid: 15 March 2024

MathSciNet: MR4718481

Digital Object Identifier: 10.7169/facm/2120

Subjects:

Primary: 11M06

Secondary: 11F11 , 11F66. , 11N37

Keywords: central values , first moment , modular $L$-function , non-vanishing , quadratic Dirichlet $L$-function

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