Calculating the density of solutions of equations related to the Pólya–Ostrowski group through Markov chains

DOI10.4064/AA170605-6-3zbMath1434.11028arXiv1803.04280OpenAlexW2964243361MaRDI QIDQ4614197

Dario Spirito

Publication date: 30 January 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04280

zbMATH Keywords

Markov chain\(q\)-additive functionsinteger-valued polynomialsnatural densityPólya-Ostrowski groupdistribution modulo d

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Density, gaps, topology (11B05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Biquadratic Pólya fields with only one quadratic Pólya subfield
• Uniform distribution of sequences of integers in residue classes
• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• Integer-Valued Polynomials
• The Probability That Int n (D) Is Free
• Number Fields Ramified at One Prime
• Value distribution of \(g\)-additive functions

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