The fourth moment of Dirichlet $L$-functions

Abstract

Extending a result of Heath-Brown, we establish an asymptotic formula for the fourth moment of central values of Dirichlet $L$-functions attached to primitive characters $(\mathrm{mod}q)$.

9 pages

Cited by in corpus (2)

• The reciprocity law for the twisted second moment of Dirichlet L-functions
• On the mean values of Dirichlet L-functions