Digit systems in polynomial rings over finite fields

DOI10.1016/S1071-5797(03)00008-XzbMath1031.11003MaRDI QIDQ1400978

Jörg M. Thuswaldner, Klaus Scheicher

Publication date: 17 August 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

zbMATH Keywords

canonical number systemsradix representationpolynomials over finite fields

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Radix representation; digital problems (11A63)

Related Items (13)

Dynamical directions in numeration ⋮ Rational digit systems over finite fields and Christol's theorem ⋮ Digit systems over commutative rings ⋮ Recurrence in \(\beta \)-expansion over formal Laurent series ⋮ \(\beta\)-expansions in algebraic function fields over finite fields ⋮ Lengths, periods and expansions of elements written with respect to a digit system over \(\mathbb F_q [x\)] ⋮ Syntactical and automatic properties of sets of polynomials over finite fields ⋮ Additive functions for number systems in function fields ⋮ The structure of abelian groups supporting a number system (extended abstract) ⋮ Beta-expansions of -adic numbers ⋮ Number systems and tilings over Laurent series ⋮ Integers and polynomials: comparing the close cousins \(\mathbb Z\) and \(\mathbb F_q[x\)] ⋮ Dynamical Diophantine approximation of beta expansions of formal Laurent series

Cites Work

• Radix representations of quadratic fields
• Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert
• On the characterization of canonical number systems
• Canonical number systems in imaginary quadratic fields
• New criteria for canonical number systems
• On canonical number systems
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