Fractional Parts of Noninteger Powers of Primes

被引：3
|
作者：
Shubin, A., V [1 ]
机构：
[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Russia
来源：
MATHEMATICAL NOTES | 2020年 / 108卷 / 3-4期
关键词：
prime numbers; arithmetic progressions; fractional parts; Bombieri-Vinogradov theorem; exponential sums; SMALL GAPS;
D O I：
10.1134/S0001434620090084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let alpha > 0 be any fixed noninteger. In the paper, we prove an analogue of the Bombieri-Vinogradov theorem for the set of primes p satisfying the condition {p(alpha)} < 1/2. This generalizes the previous result of Gritsenko and Zinchenko.
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页码：394 / 408
页数：15
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