The Ostrogradsky series and related Cantor-like sets

DOI10.4064/AA130-3-2zbMath1131.11052arXivmath/0605747OpenAlexW1480819595MaRDI QIDQ5429108

Oleksandr Baranovskyi, Grygoriy Torbin, Mykola V. Pratsiovytyi, Sergio A. Albeverio

Publication date: 29 November 2007

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605747

zbMATH Keywords

continued fractionsLebesgue measureCantor-like setsOstrogradsky representation of real numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Related Items (2)

On the $G$-isomorphism of probability and dimensional theories of representations of real numbers and fractal faithfulness of systems of coverings ⋮ HAUSDORFF DIMENSIONS OF SOME EXCEPTIONAL SETS IN THE FIRST OSTROGRADSKY SERIES

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