On diophantine properties of radix representations in algebraic number fields

DOI10.1090/conm/768/15459zbMath1506.11014OpenAlexW3162313666MaRDI QIDQ5043385

Attila Pethoe

Publication date: 21 October 2022

Published in: Lie Groups, Number Theory, and Vertex Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/768/15459

zbMATH Keywords

radix representationnumber systemperiodic wordsrepunit

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Irrationality; linear independence over a field (11J72) Multiplicative and norm form equations (11D57)

Cites Work

• Number systems over orders
• On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\).
• Number systems over general orders
• Conjugate algebraic integers on a circle
• Discriminant Equations in Diophantine Number Theory
• Replicating Tessellations
• Canonical number systems in algebraic number fields
• Shift Radix Systems - A Survey
• A ``Binary System for Complex Numbers
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