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.
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页码：524 / 536
页数：13
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