Exponential sums over cubes of primes in short intervals and its applications

被引：1
|
作者：
Li, Taiyu [1 ]
Yao, Yanjun [2 ]
机构：
[1] Shandong Univ, Sch Math & Stat, 180 Wenhua Xilu, Weihai 264209, Shandong, Peoples R China
[2] Shanxi Univ, Sch Math Sci, 92 Wucheng Lu, Taiyuan 030006, Shanxi, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2021年 / 299卷 / 1-2期
关键词：
Exponential sums over primes; short intervals; Waring-Goldbach problem; WARING-GOLDBACH PROBLEM; 4TH;
D O I：
10.1007/s00209-020-02649-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we treat the estimate on exponential sums over cubes of primes in short intervals, and improve a previous bound of Kumchev (in: Number Theory: Arithmetic in Shangri-La (Proc. China-Japan Seminar Number Theory), pp. 116-131, World Scientific, Singapore, 2013). Moreover, we present some applications to the cubic Waring-Goldbach problem.
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页码：83 / 99
页数：17
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