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arXiv · 1705.01238

On Minkowski type question mark functions associated with even or odd continued fractions

Florin P. Boca·Christopher Linden
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Abstract

We study analogues of Minkowski's question mark function $?(x)$ related to continued fractions with even or odd partial quotients. We prove that these functions are Hölder continuous with precise exponents, and that they linearize the appropriate versions of the Gauss and Farey maps.

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Florin P. Boca, Christopher Linden. 2018-06-06. On Minkowski type question mark functions associated with even or odd continued fractions. https://doi.org/10.1007/s00605-018-1205-8

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