On a Diophantine equation with four prime variables

被引：0

作者：

Huang, Jing ^{[1
]}

Zhai, Wenguang ^{[2
]}

Zhang, Deyu ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

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

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 06期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Diophantine equation; prime; exponential sum;

D O I：

10.3934/math.2025652

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let [alpha] denote the integral part of the real number alpha, and let N be a sufficiently large integer. In this paper, we proved that for 1 < c < 38/29, almost all n is an element of (N, 2N] can be represented as [p(1)(c)] + [p(2)(c)] + [p(3)(c)] + [p(4)(c)] = n, where p(1), p(2), p(3), p(4) are prime numbers.

引用

页码：14488 / 14501

页数：14

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