Generalized number systems in Euclidean spaces

DOI10.1016/S0895-7177(03)90073-2zbMath1083.11011MaRDI QIDQ596988

Imre Kátai

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

number systemsdigit sets\(q\)-additive function\(q\)multiplicative functionring of Gaussian integers

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Algebraic numbers; rings of algebraic integers (11R04) Other number representations (11A67) Representation functions (11B34)

Related Items (6)

Dynamical directions in numeration ⋮ On number system constructions ⋮ Statistical complexity and generalized number system ⋮ Binary number systems for \(\mathbb Z^{k}\) ⋮ Averages of automatic sequences ⋮ Construction of algorithms for parallel addition in expanding bases via extending window method

Cites Work

• Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field
• On symmetric radix representation of Gaussian integers
• On canonical expansions of integers in imaginary quadratic fields
• Additive functions with respect to expansions over the set of Gaussian integers
• Canonical number systems in imaginary quadratic fields
• Sur les fonctions q-additives ou q-multiplicatives
• Fractals and number systems in real quadratic number fields
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