New criteria for canonical number systems

DOI10.4064/aa111-1-2zbMath1049.11008OpenAlexW2047500058MaRDI QIDQ4811188

Hui Rao, Shigeki Akiyama

Publication date: 18 August 2004

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

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/111-1-2.html

zbMATH Keywords

symbolic dynamicsradix representationcanonical number system

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Symbolic dynamics (37B10)

Related Items (16)

Dynamical directions in numeration ⋮ A survey on topological properties of tiles related to number systems ⋮ Bases of canonical number systems in quartic algebraic number fields ⋮ Digit systems over commutative rings ⋮ On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields ⋮ Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert ⋮ Rational matrix digit systems ⋮ Digit systems in polynomial rings over finite fields ⋮ The sum-of-digits function of canonical number systems: distribution in residue classes ⋮ On number system constructions ⋮ Asymptotic normality of additive functions on polynomial sequences in canonical number systems ⋮ Crystallographic number systems ⋮ Characterization of rational matrices that admit finite digit representations ⋮ Number systems over orders ⋮ Exhaustive search methods for CNS polynomials ⋮ A certain finiteness property of Pisot number systems

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