A note on the fourth moment of Dirichlet L-functions

Abstract

We prove an asymptotic formula for the fourth power mean of Dirichlet L-functions averaged over primitive characters to modulus q and over t\in [0,T] which is particularly effective when q \ge T. In this range the correct order of magnitude was not previously known.

8 pages

Cited by in corpus (3)

• Conjectures for the integral moments and ratios of L-functions over function fields
• The fourth moment of individual Dirichlet L-functions on the critical line
• Gaps of Smallest Possible Order between Primes in an Arithmetic Progression