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arXiv · 2105.03601

Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli

Peng Gao·Liangyi Zhao
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Abstract

In this paper, we study the $k$-th moment of central values of the family of quadratic Dirichlet $L$-functions of moduli $8p$, with $p$ ranging over odd primes. Assuming the truth of the generlized Riemann hypothesis, we establish sharp upper and lower bounds for the $k$-th power moment of these $L$-values for all real $k \geq 0$.

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Peng Gao, Liangyi Zhao. 2021-05-08. Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli. https://doi.org/10.4064/cm8650-1-2022

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