EXCEPTIONAL SET IN WARING-GOLDBACH PROBLEM INVOLVING SQUARES, CUBES AND SIXTH POWERS

被引：0

作者：

Li, Jinjiang ^{[1
]}

Zhang, Min ^{[2
]}

Zhao, Haonan ^{[3
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2021年 / 58卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Waring-Goldbach problem; circle method; exceptional set; SUMS;

D O I：

10.1556/012.2021.58.1.1487

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a sufficiently large integer. In this paper, it is proved that, with at most O(N119/270+c) exceptions, all even positive integers up to N can be represented in the form p(1)(2) + p(2)(2) + p(3)(3) + p(4)(3) + p(5)(6) + p(6) (6), where p(1), p(2), p(3), p(4), p(5), p(6) are prime numbers.

引用

页码：84 / 103

页数：20

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