English

Mean values of cubic and quartic Dirichlet Characters

Number Theory 2020-12-11 v3

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.

Cite

@article{arxiv.1902.10987,
  title  = {Mean values of cubic and quartic Dirichlet Characters},
  author = {Peng Gao and Liangyi Zhao},
  journal= {arXiv preprint arXiv:1902.10987},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T07:53:59.444Z