A metric property of the Cantor expansions of real numbers and criteria for irrationality

DOI10.21136/cmj.1964.100617zbMath0139.27905OpenAlexW78584584MaRDI QIDQ5514700

Tibor Šalát

Publication date: 1964

Full work available at URL: https://eudml.org/doc/12217

zbMATH Keywords

irrationality criteriaCantor expansions of real numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Irrationality; linear independence over a field (11J72)

Related Items (7)

Unnamed Item ⋮ On uniform distribution of sequences $$(a_n x)_1^\infty $$ ⋮ Unnamed Item ⋮ On the Cantor series ⋮ Some fractals associated with Cantor expansions ⋮ A remark on distribution of digits in Cantor series ⋮ A note on the distribution of the digits in Cantor expansions

Cites Work

• Criteria for Irrationality of Certain Classes of Numbers
• Criteria for Irrationality of Certain Classes of Numbers. II
• Unnamed Item
• Unnamed Item

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