May 24, 2024Open Access

Twisted first moment of central values of primitive quadratic Dirichlet L-functions

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Abstract

We evaluate the twisted first moment of central values of the family of primitive quadratic Dirichlet L-functions using the method of double Dirichlet series together with a recursive argument. Our main result is an asymptotic formula with an error term of size that is the square root of that of the main term.

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Gao et al. (Fri,) studied this question.

synapsesocial.com/papers/68e68aacb6db6435876123fe https://doi.org/https://doi.org/10.48550/arxiv.2405.15980

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