A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Mean values of some Hecke characters

Volume 187 / 2019

Peng Gao, Liangyi Zhao Acta Arithmetica 187 (2019), 125-141 MSC: 11L05, 11L40, 11R11. DOI: 10.4064/aa170827-9-3 Published online: 14 November 2018

Abstract

We evaluate a smoothed character sum involving $\newcommand{\bleg}[2]{\big(\frac{#1}{#2}\big)}\sum_{m}\sum_{n}\bleg {m}{n}$, where $\newcommand{\bleg}[2]{\big(\frac{#1}{#2}\big)}\bleg{m}{n}$ is a quadratic, cubic or quartic Hecke character, and the two sums over $m$ and $n$ are of comparable lengths.

Authors

  • Peng GaoSchool of Mathematics and Systems Science
    Beihang University
    Beijing 100191, China
    e-mail
  • Liangyi ZhaoSchool of Mathematics and Statistics
    University of New South Wales
    Sydney, NSW 2052, Australia
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image