English

Mean values of some Hecke characters

Number Theory 2019-06-10 v2

Abstract

In this paper, we evaluate a smoothed character sum involving mn\legmn\sum_{m}\sum_{n}\leg {m}{n}, with quadratic, cubic or quartic Hecke characters \legmn\leg {m}{n}, and the two sums over mm and nn are of comparable lengths.

Keywords

Cite

@article{arxiv.1708.08164,
  title  = {Mean values of some Hecke characters},
  author = {Peng Gao and Liangyi Zhao},
  journal= {arXiv preprint arXiv:1708.08164},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-22T21:24:45.909Z