Almost primes in short intervals

被引：5

作者：

Wu Jie ^{[1
]}

机构：

[1] Nancy Univ, INRIA, CNRS, Inst Elie Cartan Nancy, F-54506 Vand Euvre Les Nancy, France

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 09期

关键词：

estimates on exponential sums; distribution of integers with specified multiplicative constraints; applications of sieve methods; EXPONENTIAL-SUMS; MONOMIALS; SIEVE; WEIGHTS; NUMBERS;

D O I：

10.1007/s11425-010-4039-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the short interval (x-x(101/232), x] contains at least an almost prime P(2) for sufficiently large x, where P(2) denotes an integer having at most two prime factors counted with multiplicity.

引用

页码：2511 / 2524

页数：14

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