Slim exceptional set for sums of mixed powers of primes

被引：0

作者：

Li, Jinjiang ^{[1
]}

Zhang, Min ^{[2
]}

Zhao, Yuetong ^{[1
]}

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

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2021年 / 131卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Waring-Goldbach problem; circle method; exceptional set; PROBLEM; 2; SQUARES; WARINGS PROBLEM; CUBES;

D O I：

10.1007/s12044-021-00622-x

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(N4/27+epsilon) 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. This gives a large improvement of a recent result O(N127/288+epsilon) due to Liu (Proc. Indian Acad. Sci. (Math. Sci.) 130(1) (2020) Article ID. 8).

引用

页数：25

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