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  Bounds of multiplicative character sums over shifted primes

Kerr, B. (2021). Bounds of multiplicative character sums over shifted primes. Proceedings of the Steklov Institute of Mathematics, 314(1), 64-89. doi:10.1134/S0081543821040040.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-708C-B Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F611-A
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 Creators:
Kerr, Bryce1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: For an integer q, let χ be a primitive multiplicative character mod q. For integer a coprime to q, we obtain a bound of the form ∣∣∑n≤NΛ(n)χ(n+a)∣∣≤N/qδ, N≥q3/4+ε, where Λ(n) is the von Mangoldt function. This improves on a series of previous results.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 26
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 Rev. Type: Peer
 Identifiers: DOI: 10.1134/S0081543821040040
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Title: Proceedings of the Steklov Institute of Mathematics
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 314 (1) Sequence Number: - Start / End Page: 64 - 89 Identifier: -