Adic Topologies for the Rational Integers

DOI10.4153/CJM-2003-030-3zbMath1060.11004OpenAlexW2032092112MaRDI QIDQ4461854

Kevin A. Broughan

Publication date: 18 May 2004

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2003-030-3

zbMATH Keywords

inverse limitcompletionFibonacci numbersFermat numbersDiophantine equationprime integersquasi-valuation, topological ring

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Arithmetic progressions (11B25) Sequences (mod (m)) (11B50) Completion of commutative rings (13B35) Complete rings, completion (13J10)

Related Items (10)

A NOTE ON DENSITY AND THE DIRICHLET CONDITION ⋮ Invariant ultrametrics and Markov processes on the finite adèle ring of \(\mathbb{Q}\) ⋮ Golomb's arithmetical semigroup topology and a semiprime sufficiency condition for Dirichlet's theorem ⋮ A heat equation on some adic completions of \(\mathbb{Q}\) and ultrametric analysis ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ A note on Golomb topologies ⋮ On a conjecture of Broughan ⋮ On the Fürstenberg closure of a class of binary recurrences ⋮ The closures of arithmetic progressions in Kirch's topology on the set of positive integers ⋮ The Darboux property for polynomials in Golomb’s and Kirch’s topologies

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