On a Diophantine Inequality with Prime Numbers of a Special Type

被引：8
|
作者：
Tolev, D. I. [1 ]
机构：
[1] Sofia Univ St Kliment Ohridski, Fac Math & Informat, 5 J Bourchier Blvd, Sofia 1164, Bulgaria
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 299卷 / 01期
关键词：
THEOREM;
D O I：
10.1134/S0081543817080168
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Diophantine inequality |p (1) (c) + p (2) (c) + p (3) (c) - N| < (logN)(-E) , where 1 < c < 15/14, N is a sufficiently large real number and E > 0 is an arbitrarily large constant. We prove that the above inequality has a solution in primes p (1), p (2), p (3) such that each of the numbers p (1) + 2, p (2) + 2 and p (3) + 2 has at most [369/(180 - 168c)] prime factors, counted with multiplicity.
引用
收藏
页码：246 / 267
页数：22
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