The Probability that Ideals in a Number Ring are k-wise Relatively r-Prime
Number Theory
2021-06-02 v4
Abstract
We say that n 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 article, 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.
Cite
@article{arxiv.1803.09187,
title = {The Probability that Ideals in a Number Ring are k-wise Relatively r-Prime},
author = {Ryan D. DeMoss and Brian D. Sittinger},
journal= {arXiv preprint arXiv:1803.09187},
year = {2021}
}
Comments
Final published version of the article