Moments of Dirichlet $L$-functions to a fixed modulus over function fields

Abstract

In this paper, we establish the expected order of magnitude of the $k$th-moment of central values of the family of Dirichlet $L$-functions to a fixed prime modulus over function fields for all real $k\ge 0$.

arXiv comment16 pages

References in corpus (7)

• Continuous lower bounds for moments of zeta and L-functions
• The fourth moment of Dirichlet L-functions
• On moments of twisted $L$-functions
• An upper bound for discrete moments of the derivative of the Riemann zeta-function
• Moments of quadratic twists of elliptic curve L-functions over function fields
• The fourth power mean of Dirichlet $L$-functions in ${\mathbb{F}}_q[T]$
• Moments of quadratic Dirichlet $L$-functions over Function Fields