Character sums over shifted primes
type: Item
instance of: scholarly article
title: Character sums over shifted primes
zbMATH Open document ID: 1257.11077
DOI: 10.1134/S0001434610090312
author: Ke Gong
author: Igor E. Shparlinski
author: J. B. Friedlander
published in: Mathematical Notes
publication date: 2011-11-25T00:00:00Z
review text: Let \(q\) be an arbitrary positive integer, \(\chi\) be a primitive character modulo \(q\), and let \(\Lambda(n)\) be the von Mangoldt function. For \(N\leq q^{16/9}\), the authors prove that \[ \left|\sum_{n\leq N}\Lambda(n)\chi(n+a)\right|\leq \left(N^{7/8}q^{1/9}+N^{33/32}q^{-1/18}\right)q^{o(1)}. \]
Mathematics Subject Classification ID: 11L40
Mathematics Subject Classification ID: 11L20
zbMATH DE Number: 5980701
zbMATH Keywords: nonprincipal character
zbMATH Keywords: von Mangoldt function
zbMATH Keywords: primitive character
zbMATH Keywords: Euler function
zbMATH Keywords: sieve of Eratosthenes
zbMATH Keywords: Möbius function
zbMATH Keywords: Legendre formula
MaRDI profile type: Publication
cites work: Q3741666
cites work: An elementary method in prime number theory
cites work: Q4830109
cites work: On Character Sums and L-Series†
cites work: On Character Sums and L -Series. II
cites work: The Character Sum Estimate with r = 3
full work available at URL: s0001434610090312
OpenAlex ID: W1991052404
description: scientific article; zbMATH DE number 5980701