Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert

DOI10.1016/S0022-247X(02)00622-4zbMath1021.11005OpenAlexW2077536033WikidataQ123140868 ScholiaQ123140868MaRDI QIDQ1399328

Shigeki Akiyama, Horst Brunotte, Attila Pethoe

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00622-4

zbMATH Keywords

canonical number systemscubic polynomialscongruences modulo polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Radix representation; digital problems (11A63)

Related Items (8)

Dynamical directions in numeration ⋮ Bases of canonical number systems in quartic algebraic number fields ⋮ On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields ⋮ Digit systems in polynomial rings over finite fields ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ On number system constructions ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems ⋮ Exhaustive search methods for CNS polynomials

Cites Work

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• Verification of a conjecture of E. Thomas
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• On the characterization of canonical number systems
• Canonical number systems in imaginary quadratic fields
• Canonical number systems in algebraic number fields
• New criteria for canonical number systems
• Arithmetical Properties of Polynomials
• Topological properties of two-dimensional number systems
• On canonical number systems

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