On the rationality of Cantor and Ahmes series

DOI10.1016/S0019-3577(02)80018-0zbMath1018.11037OpenAlexW2069775677MaRDI QIDQ1866481

Pingzhi Yuan, Robert Tijdeman

Publication date: 5 June 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(02)80018-0

zbMATH Keywords

infinite seriesirrational numbersCantor series

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (11)

On the irrationality of Cantor series ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The generalized shifts and rational numbers ⋮ Number theoretic applications of a class of Cantor series fractal functions. I ⋮ A family of self-similar sets with overlaps ⋮ On the irrationality of factorial series. II ⋮ Linearly unrelated sequences and problem of Erdős ⋮ 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

• Unnamed Item
• The irrationality of certain infinite series
• A theorem on irrationality of infinite series and applications
• Criteria for Irrationality of Certain Classes of Numbers
• On the irrationality of certain series

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