Diophantine inequalities over Piatetski-Shapiro primes

被引：1
|
作者：
Huang, Jing [1 ]
Zhai, Wenguang [2 ]
Zhang, Deyu [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2021年 / 16卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Diophantine inequalities; Piatetski-Shapiro primes; exponential sums; additive problems; NUMBER; APPROXIMATION;
D O I：
10.1007/s11464-021-0916-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let c > 1 and 0 < gamma < 1. We study the solubility of the Diophantine inequality divide p1(c) + p2(c) + horizontal ellipsis + ps(c)- N divide < (log N)(- 1) in Piatetski-Shapiro primes p(1), p(2), horizontal ellipsis , p(s) of the form p(j) = [m(1/gamma)] for some m is an element of N, and improve the previous results in the cases s = 2, 3, 4.
引用
收藏
页码：749 / 770
页数：22
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