Murmurations of quadratic Hecke L-functions of the Gaussian field

2026/07/23 by Peng Gao, Liangyi Zhao
#math.NT

paper · pdf

Abstract

In this paper, we evaluate the murmuration density for the family of quadratic Hecke L-functions of the Gaussian field under the generalized Riemann hypothesis.

Related

• Murmurations of Hecke L-Functions of Imaginary Quadratic Fields
• The fourth moment of central values of quadratic Hecke L-functions in\n the Gaussian field
• Low-lying zeros of a family of quadratic Hecke L-functions via ratios conjecture
• First Moment of Quadratic Hecke L-Functions with Lower Order Term
• On the mean value of GL₁ and GL₂ L-functions, with applications to murmurations