The Density of Tuples Restricted by Relatively r-Prime Conditions
Number Theory
2021-07-06 v2
Abstract
In order to consider j-wise relative r-primality conditions that do not necessarily require all j-tuples of elements in a Dedekind domain to be relatively r-prime, we define the notion of j-wise relative r-primality with respect to a fixed j-uniform hypergraph H. This allows us to provide further generalisations to several results on natural densities not only for a ring of algebraic integers, but also for the ring F_q[x].
Keywords
Cite
@article{arxiv.2106.14061,
title = {The Density of Tuples Restricted by Relatively r-Prime Conditions},
author = {Brian Sittinger and Vickie Chen},
journal= {arXiv preprint arXiv:2106.14061},
year = {2021}
}
Comments
Submitted for review