Moments of central values of quartic Dirichlet $L$-functions

Abstract

In this paper, we study moments of the central values of quartic Dirichlet $L$-functions and establish quantitative non-vanishing result for these $L$-values.

arXiv comment10 pages

References in corpus (6)

• Mean values with cubic characters
• The first moment of quadratic Dirichlet L-functions
• Nonvanishing of quadratic Dirichlet L-functions at s=1/2
• The third moment of quadratic Dirichlet L-functions
• Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields
• First Moment of Hecke $L$-functions with quartic characters at the central point

Cited by in corpus (3)

• Zero-Density Theorems for Families of Dirichlet $L$-functions
• Bounds for moments of cubic and quartic Dirichlet $L$-functions
• First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters