Rational numbers defined in terms of certain generalized series

DOI10.1007/S10474-021-01163-5zbMath1488.11117arXiv2101.08161OpenAlexW3169149956MaRDI QIDQ2043758

Symon Serbenyuk

Publication date: 3 August 2021

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

Full work available at URL: https://arxiv.org/abs/2101.08161

zbMATH Keywords

rational number\(q\)-ary numeral systemsign-variable expansions of real numbers

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Irrationality; linear independence over a field (11J72)

Related Items (2)

Systems of functional equations and generalizations of certain functions ⋮ The generalized shifts and rational numbers

Cites Work

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• Representations of real numbers by infinite series
• On the rationality of Cantor and Ahmes series
• A note on expansions of rational numbers by certain series
• On the irrationality of Cantor series
• Representation of real numbers by the alternating Cantor series
• Criteria for Irrationality of Certain Classes of Numbers
• Criteria for Irrationality of Certain Classes of Numbers. II
• On the irrationality of certain series

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