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arXiv · 2201.01885

Moments and One level density of sextic Hecke $L$-functions of $\mathbb{Q}(\omega)$

Peng Gao·Liangyi Zhao
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Abstract

In this paper, we study moments of central values of sextic Hecke $L$-functions of $\mathbb{Q}(\omega)$ and one level density result for the low-lying zeros of sextic Hecke $L$-functions of $\mathbb{Q}(\omega)$. As a corollary, we deduce that, assuming GRH, at least $2/45$ of the members of the sextic family do not vanish at $s=1/2$.

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Peng Gao, Liangyi Zhao. 2022-01-06. Moments and One level density of sextic Hecke $L$-functions of $\mathbb{Q}(\omega)$. https://doi.org/10.7169/facm%2F2057

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