Exceptional Set for Sums of Symmetric Mixed Powers of Primes

被引：0
作者：
Li, Jinjiang [1 ]
Liu, Chao [1 ]
Zhang, Zhuo [1 ]
Zhang, Min [2 ]
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：
SYMMETRY-BASEL | 2020年 / 12卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Waring-Goldbach problem; circle method; exceptional set; symmetric form; WARINGS PROBLEM; UNEQUAL POWERS; CUBES; 4TH;
D O I：
10.3390/sym12030367
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The main purpose of this paper is to use the Hardy-Littlewood method to study the solvability of mixed powers of primes. To be specific, we consider the even integers represented as the sum of one prime, one square of prime, one cube of prime, and one biquadrate of prime. However, this representation can not be realized for all even integers. In this paper, we establish the exceptional set of this kind of representation and give an upper bound estimate.
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页数：14
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