The Minkowski question mark function: explicit series for the dyadic period function and moments

DOI10.1090/S0025-5718-09-02263-7zbMath1216.11006arXiv0805.1717MaRDI QIDQ3584782

Giedrius Alkauskas

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1717

zbMATH Keywords

Julia setsFarey treeMinkowski question mark functionanalytic theory of continued fractionsdyadic period functionthree-term functional equation

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Continued fractions (11A55) Convergence and divergence of continued fractions (40A15)

Related Items (5)

Semi-regular continued fractions and an exact formula for the moments of the Minkowski question mark function ⋮ A subtle symmetry of Lebesgue's measure ⋮ An asymptotic formula for the moments of the Minkowski question mark function in the interval \([0,1\)] ⋮ Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures ⋮ Addenda and corrigenda to “The Minkowski question mark function: explicit series for the dyadic period function and moments”

Cites Work

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