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arXiv · 1308.1456

Character sums over shifted primes

Bryce Kerr
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Abstract

For integer $q$, let $χ$ be a primitive multiplicative character$\pmod q.$ For integer $a$ coprime to $q$, we obtain a new bound for the sums $$\sum_{n\le N}Λ(n)χ(n+a),$$ where $Λ(n)$ is the von Mangoldt function. This bound improves and extends the range of a result of Friedlander, Gong and Shparlinski

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Bryce Kerr. 2013-09-24. Character sums over shifted primes. https://arxiv.org/abs/1308.1456

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