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arXiv · 1707.00091

Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields

Peng Gao·Liangyi Zhao
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Abstract

In this paper, we study the moments of central values of Hecke $L$-functions associated with quadratic characters in $\mathbb{Q}(i)$ and $\mathbb{Q}(ω)$ with $ω= exp(2πi/3)$ and establish some quantitative non-vanishing result for these $L$-values.

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Peng Gao, Liangyi Zhao. 2019-09-13. Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields. https://doi.org/10.1016/j.jnt.2019.09.002

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