Character sums over generalized Lehmer numbers
type: Item
instance of: scholarly article
title: Character sums over generalized Lehmer numbers
zbMATH Open document ID: 1348.11060
author: Yuankui Ma
author: Zhenzhen Qin
author: Tianping Zhang
author: Hui Chen
published in: Journal of Inequalities and Applications
publication date: 2016-11-07T00:00:00Z
review text: Let \(q\geq 3\) and \(n\geq 2\) be integers with \((n,q)=1\), and let \(\chi\) be a non-principal Dirichlet character mod \(q\). The authors prove that \[ \sum_{{a=1}^q_{(a,q)=1}\underset{n\nmid a+\overline a}{(a,q)=1}}\to\chi(a)\ll_{n}q^{\frac{1}{2}}d^5(q)\log^2q, \] where \(\overline{a}\) is the multiplicative inverse of \(a\) modulo \(q\), and \(d(q)\) is the divisor function.
Mathematics Subject Classification ID: 11L05
Mathematics Subject Classification ID: 11L40
Mathematics Subject Classification ID: 11N37
zbMATH DE Number: 6648443
zbMATH Keywords: Lehmer number
zbMATH Keywords: character sums
zbMATH Keywords: Kloosterman sums
zbMATH Keywords: upper bound estimate
MaRDI profile type: Publication
full work available at URL: s13660-016-1213-y
OpenAlex ID: W2547787539
Wikidata QID: Q59468694
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DOI: 10.1186/S13660-016-1213-Y
description: scientific article; zbMATH DE number 6648443