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

Published 1 Jul 2017 in math.NT | (1707.00091v3)

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

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Authors (2)

  1. Peng Gao 
  2. Liangyi Zhao 

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