The probability that ideals in a number ring are k-wise relatively r-prime

被引：2

作者：

Sittinger, Brian D. ^{[1
]}

DeMoss, Ryan D. ^{[2
]}

机构：

[1] CSU Channel Isl, Dept Math, 1 Univ Dr, Camarillo, CA 93012 USA

[2] Calif Lutheran Univ, Dept Math, 60 West Olsen Rd, Thousand Oaks, CA 91360 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2020年 / 16卷 / 08期

关键词：

k-wise relatively r-prime; asymptotic density; number fields; algebraic integers; POSITIVE INTEGERS;

D O I：

10.1142/S1793042120500918

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We say that n nonzero ideals of algebraic integers in a fixed number ring are k-wise relatively r-prime if any k of them are relatively r-prime. In this paper, we provide an exact formula for the probability that n nonzero ideals of algebraic integers in a fixed number ring are k-wise relatively r-prime.

引用

页码：1753 / 1765

页数：13

共 18 条

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