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

页码：1063 / 1070

页数：8

共 9 条

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