Two results on unlike powers of primes and powers of 2 in the Waring-Goldbach problem

被引：1
作者：
Hu, Liqun [1 ,2 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Nanchang Univ, Inst Math & Interdisciplinary Sci, Nanchang 330031, Jiangxi, Peoples R China
来源：
RAMANUJAN JOURNAL | 2023年 / 60卷 / 04期
关键词：
Circle method; Linnik problem; Powers of 2; SQUARES;
D O I：
10.1007/s11139-022-00631-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain when k = 26, every sufficiently large even integer can be represented as a sum of two prime squares, four prime cubes and k powers of 2. What is more, when k = 58, every sufficiently large odd integer can be represented as a sum of one prime, four prime cubes and k powers of 2. These improve previous results.
引用
收藏
页码：1081 / 1094
页数：14
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