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

共 50 条

[1] Exceptional set in Waring-Goldbach problem: Two squares, two cubes and two sixth powers
Liu, Yuhui
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2020, 130 (01):
[2] ON A WARING-GOLDBACH PROBLEM INVOLVING SQUARES AND CUBES
Liu, Yuhui
MATHEMATICA SLOVACA, 2019, 69 (06) : 1249 - 1262
[3] Exceptional Set of Waring-Goldbach Problem with Unequal Powers of Primes
Zhao, Xiaodong
TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (04): : 817 - 824
[4] Exceptional set in Waring–Goldbach problem: Two squares, two cubes and two sixth powers
Yuhui Liu
Proceedings - Mathematical Sciences, 2020, 130
[5] On the Waring-Goldbach problem for squares, cubes and higher powers
Zhang, Min
Li, Jinjiang
RAMANUJAN JOURNAL, 2021, 56 (03) : 1123 - 1150
[6] Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes
Han, X.
Liu, H.
SBORNIK MATHEMATICS, 2023, 214 (05) : 744 - 756
[7] ON A WARING-GOLDBACH PROBLEM INVOLVING SQUARES, CUBES AND BIQUADRATES
Liu, Yuhui
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (06) : 1659 - 1666
[8] On the Waring-Goldbach problem for two squares and four cubes
Zhang, Min
Xue, Fei
Li, Jinjiang
AIMS MATHEMATICS, 2022, 7 (07): : 12415 - 12436
[9] On the Waring-Goldbach problem for two squares and four cubes
Zhang, Min
Bai, Hongxin
Li, Jinjiang
OPEN MATHEMATICS, 2023, 21 (01):
[10] Exceptional set in Waring-Goldbach problem for sums of one square and five cubes
Li, Jinjiang
Pan, Yiyang
Song, Ran
Zhang, Min
AIMS MATHEMATICS, 2022, 7 (02): : 2940 - 2955

← 1 2 3 4 5 →