On the distribution of αp modulo one for primes p of a special form

被引：8

作者：

Todorova, T. L. ^{[1
]}

Tolev, D. I. ^{[1
]}

机构：

[1] Sofia Univ St Kl Ohridsky, Fac Math & Informat, BG-1164 Sofia, Bulgaria

来源：

MATHEMATICA SLOVACA | 2010年 / 60卷 / 06期

关键词：

linear sieve; almost primes; distribution modulo one; NUMBERS;

D O I：

10.2478/s12175-010-0045-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A classical problem in analytic number theory is to study the distribution of alpha p modulo 1, where alpha is irrational and p runs over the set of primes. We consider the subsequence generated by the primes p such that p+2 is an almost-prime (the existence of infinitely many such p is another topical result in prime number theory) and prove that its distribution has a similar property.

引用

页码：771 / 786

页数：16

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