EXPLICIT ESTIMATE ON PRIMES BETWEEN CONSECUTIVE CUBES

被引：7

作者：

Cheng, Yuan-You Fu-Rui ^{[1
]}

机构：

[1] Univ N Carolina, Chapel Hill, NC 27515 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 01期

关键词：

Ingham's theorem; primes in short interval; explicit estimates; density theorem; divisors; SHARPER BOUNDS;

D O I：

10.1216/RMJ-2010-40-1-117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit form of Ingham's theorem on primes in the short intervals and show that there is at least one prime between every two consecutive cubes x(3) and (x+1)(3) if log log x >= 15.

引用

页码：117 / 153

页数：37

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