A quinary diophantine inequality by primes with one of the form p = x2 + y2+1

被引：0

作者：

Dimitrov, Stoyan ^{[1
]}

机构：

[1] Tech Univ Sofia, Fac Appl Math & Informat, Blvd St Kliment Ohridski 8, Sofia 1756, Bulgaria

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 01期

关键词：

Diophantine inequality; Exponential sum; Bombieri; Vinogradov type result; Primes; EXPONENTIAL-SUMS;

D O I：

10.1007/s13226-022-00354-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that, for any fixed 1 < c < 5363/3900, every sufficiently large positive number N and a small constant epsilon > 0, the diophantine inequality vertical bar p(1)C + p(2)C + p(3)C + p(4)C + p(5)C - N vertical bar < epsilon has a solution in prime numbers p(1), p(2), p(3), p(4), p(5), such that p(1) = x(2) + y(2) + 1.

引用

页码：168 / 188

页数：21

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