Generalized number systems in the complex plane

DOI10.1007/BF01903347zbMath0653.10003OpenAlexW2004261546MaRDI QIDQ1107552

Imre Kátai, Zoltán Daróczy

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903347

zbMATH Keywords

sequence of complex numbersgeneralized number systemsinterval filling

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Radix representation; digital problems (11A63) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (10)

On periodic representations in non-Pisot bases ⋮ Thresholds for one-parameter families of affine iterated function systems* ⋮ Representations for complex numbers with integer digits ⋮ Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\) ⋮ Geometrical aspects of expansions in complex bases ⋮ Alphabets, rewriting trails and periodic representations in algebraic bases ⋮ Representation of complex numbers in number systems ⋮ Periodic representations in algebraic bases ⋮ Polygonal radix representations of complex numbers ⋮ Optimal expansions in non-integer bases

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