Real zeros of quadratic Hecke $L$-functions

Abstract

We study real zeros of a family of quadratic Hecke $L$-functions in the Gaussian field to show that more than twenty percent of the members have no zeros on the interval $(0,1]$.

30 pages

References in corpus (3)

• One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions
• Moments and Non-vanishing of central values of Quadratic Hecke $L$-functions in the Gaussian Field
• The fourth moment of central values of quadratic Hecke $L$-functions in the Gaussian field