On canonical number systems

DOI10.1016/S0304-3975(01)00103-7zbMath0988.68101OpenAlexW2090941207MaRDI QIDQ5958340

Shigeki Akiyama, Attila Pethoe

Publication date: 3 March 2002

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-3975(01)00103-7

zbMATH Keywords

heightradix representationalgebraic number fieldcanonical number system

Mathematics Subject Classification ID

Algebraic theory of languages and automata (68Q70) Polynomials (irreducibility, etc.) (11R09) Radix representation; digital problems (11A63)

Related Items (16)

Dynamical directions in numeration ⋮ ROOTS OF POLYNOMIALS WITH DOMINANT TERM ⋮ On the reducible quintic complete base polynomials ⋮ 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 ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ On number system constructions ⋮ Invariant measure of rotational beta expansion and Tarski's Plank problem ⋮ On multiplicatively independent bases in cyclotomic number fields ⋮ Generalized base representations ⋮ Number systems over orders ⋮ Defining Multiplication in Some Additive Expansions of Polynomial Rings ⋮ Exhaustive search methods for CNS polynomials

Cites Work

• Radix representations of quadratic fields
• Canonical number systems in imaginary quadratic fields
• Canonical number systems in algebraic number fields
• Topological properties of two-dimensional number systems
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