On a Diophantine equation involving fractional powers with primes of special types

被引：0

作者：

Wu, Liuying ^{[1
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 06期

关键词：

almost prime; diophantine equality; fractional powers; exponential sum; ADDITIVE PROBLEMS; THEOREM; NUMBER;

D O I：

10.3934/math.2024799

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose that N is a sufficiently large real number. In this paper it is proved that for 2 < c< 990/479, the Diophantine equation [p(1)(c)] + [p(2)(c)] + [p(3)(c)] + [p(4)(c)] + [p(5)(c)] = N is solvable in primes p(1), p(2), p(3), p(4), p(5) such that each of the numbers p(i )+ 2, i = 1, 2, 3, 4, 5 has at most [6227/3960-1916c] prime factors.

引用

页码：16486 / 16505

页数：20

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