On arithmetical nature of Tichy-Uitz's function

DOI10.7169/facm/1285679142zbMath1242.11047arXiv0909.1273OpenAlexW2962916244MaRDI QIDQ1959783

Elena Zhabitskaya

Publication date: 12 October 2010

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1273

zbMATH Keywords

continued fractionsMinkowski question mark function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Continued fractions and generalizations (11J70)

Related Items (2)

CONTINUED FRACTIONS WITH ODD PARTIAL QUOTIENTS ⋮ Derivatives of two functions belonging to the Denjoy–Tichy–Uits family

Cites Work

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• A new light on Minkowski's \(?(x)\) function
• Combinatorial and arithmetical properties of linear numeration systems
• An extension of Minkowski's singular function
• Differentiability of the Minkowski question mark function
• Sur une fonction réelle de Minkowski
• The Entropy of a Certain Infinitely Convolved Bernoulli Measure
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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