The Probability that Ideals in a Number Ring are k-wise Relatively r-Prime

Autor:	DeMoss, Ryan D., Sittinger, Brian D.
Rok vydání:	2018
Předmět:	Mathematics - Number Theory
Zdroj:	International Journal of Number Theory, Vol. 16, No. 08, pp.1753-1765 (2020)
Druh dokumentu:	Working Paper
Popis:	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. Comment: Final published version of the article
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1803.09187 Zobrazit plný text záznamu View this record from Arxiv