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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 314, Pages 71–96
DOI: https://doi.org/10.4213/tm4198 (Mi tm4198) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bounds of Multiplicative Character Sums over Shifted Primes

Bryce Kerr

Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
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DOI: https://doi.org/10.4213/tm4198
Abstract: For an integer $q$, let $\chi $ be a primitive multiplicative character mod $q$. For integer $a$ coprime to $q$, we obtain a bound of the form $\bigl |\sum _{n\le N}\Lambda (n)\chi (n+a)\bigr |\le N/q^\delta $, $N\ge q^{3/4+\varepsilon }$, where $\Lambda (n)$ is the von Mangoldt function. This improves on a series of previous results.
Received: July 31, 2020
Revised: February 28, 2021
Accepted: June 23, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 314, Pages 64–89
DOI: https://doi.org/10.1134/S0081543821040040
Bibliographic databases:
Document Type: Article
UDC: 511.321
MSC: 11L20, 11L40
Language: Russian
Citation: Bryce Kerr, “Bounds of Multiplicative Character Sums over Shifted Primes”, Analytic and Combinatorial Number Theory, Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 314, Steklov Math. Inst., Moscow, 2021, 71–96; Proc. Steklov Inst. Math., 314 (2021), 64–89
Citation in format AMSBIB
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\by Bryce~Kerr
\paper Bounds of Multiplicative Character Sums over Shifted Primes
\inbook Analytic and Combinatorial Number Theory
\bookinfo Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 314
\pages 71--96
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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