Mean values of cubic and quartic Dirichlet Characters

Abstract

We evaluate the average of cubic and quartic Dirichlet character sums with the modulus going up to a size comparable to the length of the individual sums. This generalizes a result of Conrey, Farmer and Soundararajan on quadratic Dirichlet character sums.

12 pages

Cited by in corpus (2)

• Mean squares of quadratic twists of the Möbius function
• First Moments of Some Hecke $L$-functions of Prime Moduli