On the simultaneous distribution of powers of prime numbers modulo one

被引：0

作者：

Ma, X. -W. ^{[1
]}

机构：

[1] Hainan Trop Ocean Univ, Inst Marine Informat Engn, Sanya 572022, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2017年 / 153卷 / 02期

关键词：

exponential sum; simultaneous distribution; Vinogradov method; FRACTIONAL-PARTS;

D O I：

10.1007/s10474-017-0746-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the distribution of the sequence of vectors modulo one. Here p runs over prime numbers, k ae<yen> 2 is a fixed integer, alpha(1), . . . , alpha (k) are fixed real numbers lying in the interval (s, s + 1) with s being a sufficiently large integer.

引用

页码：524 / 536

页数：13

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