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.
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页码：64 / 89
页数：26
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