Generalizing the Minkowski question mark function to a family of multidimensional continued fractions

DOI10.1142/S179304211850149XzbMath1445.11060arXiv1701.09070MaRDI QIDQ4683200

Thomas Garrity, Peter M. McDonald

Publication date: 20 September 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.09070

zbMATH Keywords

multidimensional continued fractionssingular functionsMinkowski question mark function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Continued fractions and generalizations (11J70) Continuity and differentiation questions (26B05) Diophantine approximation in probabilistic number theory (11K60)

Related Items (2)

On integer partitions and continued fraction type algorithms ⋮ A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs

Cites Work

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• On Some Singular Monotonic Functions Which Are Strictly Increasing
• Geometry of continued fractions
• On periodic sequences for algebraic numbers

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