Bombieri-type theorems of nonlinear Weyl sums over primes in short intervals

被引：0
|
作者：
Yao, Yanjun [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 10期
关键词：
Estimates on exponential sums; sums over primes; exponential sum in short intervals; ARITHMETIC PROGRESSIONS; VARIABLES;
D O I：
10.1142/S1793042118501531
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the mean-value estimate for nonlinear Weyl sums over primes in short intervals and establish the related Bombieri-type theorems. These results have applications in additive problems with prime variables in short intervals.
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页码：2571 / 2581
页数：11
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