The Density of Tuples Restricted by Relatively r-Prime Conditions

2021/06/26 by Brian D. Sittinger, Sittinger, Brian, Vickie V. Chen +1 · 1 citation
Mathematics · Computer Science · #Mathematics and Applications #Matrix Theory and Algorithms #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2106.14061

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].

Citations

• Pairwise Relative Primality of Positive Integers

Cited by

• Counting w-coprime S-integers and S-integral ideals in positive characteristic

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