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On the irrationality of Cantor series

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Publication:4810853
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DOI10.1515/crll.2004.038zbMath1049.11076OpenAlexW1982439195MaRDI QIDQ4810853

Jaroslav Hančl, Robert Tijdeman

Publication date: 17 August 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2004.038



Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)


Related Items

Unnamed Item ⋮ The generalized shifts and rational numbers ⋮ On the irrationality of factorial series. III ⋮ Cantor series constructions contrasting two notions of normality ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Number theoretic applications of a class of Cantor series fractal functions. I ⋮ Binomial sums involving harmonic numbers ⋮ A family of self-similar sets with overlaps ⋮ On the irrationality of factorial series. II ⋮ Rational numbers defined in terms of certain generalized series ⋮ Some fractals associated with Cantor expansions ⋮ On the Hausdorff dimension of countable intersections of certain sets of normal numbers



Cites Work

  • On the rationality of Cantor and Ahmes series
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