On the Distribution of (k, r)-Integers in Piatetski-Shapiro Sequences

被引：6
|
作者：
Srichan, Teerapat [1 ]
机构：
[1] Kasetsart Univ, Fac Sci, Dept Math, POB 50 Phahon Yothin Rd, Bangkok 10900, Thailand
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2021年 / 71卷 / 04期
关键词：
(k; r)-integer; Piatetski-Shapiro sequence; NUMBERS;
D O I：
10.21136/CMJ.2021.0194-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A natural number n is said to be a (k, r)-integer if n = a(k)b, where k > r > 1 and b is not divisible by the rth power of any prime. We study the distribution of such (k, r)-integers in the Piatetski-Shapiro sequence {[n(c)]} with c > 1. As a corollary, we also obtain similar results for semi-r-free integers.
引用
收藏
页码：1063 / 1070
页数：8
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