Bounds of Multiplicative Character Sums over Shifted Primes

被引：0

作者：

Kerr, Bryce ^{[1
]}

机构：

[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2021年 / 314卷 / 01期

关键词：

D O I：

10.1134/S0081543821040040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 vertical bar Sigma(n <= N) Lambda(n)chi(n + a)vertical bar <= N/q(delta), N >= q(3/4+epsilon), where Lambda(n) is the von Mangoldt function. This improves on a series of previous results.

引用

页码：64 / 89

页数：26

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