Some further statistical properties of the digits in Cantor's series

DOI10.1007/BF02063287zbMath0088.25804OpenAlexW2032217042MaRDI QIDQ3261455

Alfréd Rényi

Publication date: 1959

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02063287

zbMATH Keywords

number theoryCantor series

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (19)

The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions ⋮ Large deviation principles for lacunary sums ⋮ Normality preserving operations for Cantor series expansions and associated fractals. I ⋮ SHRINKING TARGETS FOR NONAUTONOMOUS DYNAMICAL SYSTEMS CORRESPONDING TO CANTOR SERIES EXPANSIONS ⋮ Normality of different orders for Cantor series expansions ⋮ DESCRIPTIVE COMPLEXITY IN CANTOR SERIES ⋮ Alternate Base Numeration Systems ⋮ Dichotomy law for shrinking target problems in a nonautonomous dynamical system: Cantor series expansion ⋮ Unnamed Item ⋮ Number theoretic applications of a class of Cantor series fractal functions. I ⋮ On the metric theory of the Lüroth expansions of real numbers ⋮ Normal number constructions for Cantor series with slowly growing bases ⋮ Expansions in Cantor real bases ⋮ Some fractals associated with Cantor expansions ⋮ Unnamed Item ⋮ Normal equivalencies for eventually periodic basic sequences ⋮ Unexpected distribution phenomenon resulting from Cantor series expansions ⋮ UNIFORM DIOPHANTINE APPROXIMATION TO CANTOR SERIES EXPANSION ⋮ A note on the distribution of the digits in Cantor expansions

Cites Work

• On a new axiomatic theory of probability
• Representations for real numbers and their ergodic properties

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