Digit systems over commutative rings

DOI10.1142/S1793042114500389zbMath1318.11008arXiv1004.3729OpenAlexW2963140056MaRDI QIDQ3190780

Klaus Scheicher, Paul Surer, Christiaan van de Woestijne, Jörg M. Thuswaldner

Publication date: 19 September 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3729

zbMATH Keywords

canonical number systemsshift radix systemsdigit systems

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over commutative rings (13B25) Congruences; primitive roots; residue systems (11A07) Radix representation; digital problems (11A63)

Related Items (8)

Rational digit systems over finite fields and Christol's theorem ⋮ A Number System with Base −32 ⋮ On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields ⋮ Fractal tiles associated with shift radix systems ⋮ Rational matrix digit systems ⋮ Characterization of rational matrices that admit finite digit representations ⋮ Number systems over orders ⋮ Beta-expansions of -adic numbers

Cites Work

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• Noncanonical number systems in the integers
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• Digit systems in polynomial rings over finite fields
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• Generalized base representations
• Generalized radix representations and dynamical systems. I
• Number systems and tilings over Laurent series
• Canonical number systems in algebraic number fields
• New criteria for canonical number systems
• Generalized radix representations and dynamical systems II

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