First Moments of Some Hecke $L$-functions of Prime Moduli

Abstract

We study the first moments of central values of Hecke $L$-functions associated with quadratic, cubic and quartic symbols to prime moduli. This also enables us to obtain results on first moments of central values of certain families of cubic and quartic Dirichlet $L$-functions of prime moduli.

11 pages

References in corpus (5)

• One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions
• Moments of Quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields
• The fourth moment of quadratic Dirichlet $L$-functions
• First Moment of Hecke $L$-functions with quartic characters at the central point
• Mean values of cubic and quartic Dirichlet Characters

Cited by in corpus (1)

• Ratios conjecture of cubic $L$-functions of prime moduli