Bounds of multiplicative character sums over shifted primes

Kerr, Bryce

doi:10.1134/S0081543821040040

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Bounds of multiplicative character sums over shifted primes

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Kerr, Bryce
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1134/S0081543821040040
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Kerr_Bounds of multiplicative character sums over shifted primes_Preprint_2021.pdf
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Citation

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.

Cite as: https://hdl.handle.net/21.11116/0000-0009-708C-B

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.