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arXiv · 2106.14061

The Density of Tuples Restricted by Relatively r-Prime Conditions

Brian Sittinger·Vickie Chen
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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].

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Brian Sittinger, Vickie Chen. 2021-06-26. The Density of Tuples Restricted by Relatively r-Prime Conditions. https://arxiv.org/abs/2106.14061

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