The representation of real numbers by infinite series of rationals
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Publication:5672691
DOI10.4064/aa-21-1-391-398zbMath0258.10003OpenAlexW1193837650MaRDI QIDQ5672691
Publication date: 1972
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/205123
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Other number representations (11A67)
Related Items (19)
Unnamed Item ⋮ Inverse polynomial expansions of Laurent series ⋮ Hausdorff dimension of certain sets arising in Engel expansions ⋮ Hausdorff dimensions of certain sets in terms of the Sylvester series ⋮ Convergence results for Oppenheim expansions. II ⋮ Unnamed Item ⋮ A division algorithm approach to \(p\)-adic Sylvester expansions ⋮ A new construction of the real numbers by alternating series ⋮ Some remarks on the generalized St. Petersburg games and formal Laurent series expansions ⋮ Arithmetic and metric properties of Oppenheim continued fraction expansions ⋮ Infinite series expansions for \(p\)-adic numbers ⋮ The generalized oppenheim expansions for the direct product of non-Archimedean fields ⋮ Convergence results for Oppenheim expansions ⋮ Unnamed Item ⋮ p-adic and non-archimedean product representations ⋮ Series expansions in \(p\)-adic and other non-archimedean fields ⋮ Inverse polynomial expansions of Laurent series. II ⋮ Fibonacci, van der Corput and Riesz-Nágy ⋮ The Rate of Growth of the Denominators in the Oppenheim Series
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