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.

引用

页码：83 / 99

页数：17

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