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A note on approximation efficiency and partial quotients of Engel continued fractions

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We consider the efficiency of approximating real numbers by their convergents of Engel continued fractions (ECF). Specifically, we estimate the Hausdorff dimension of the set of points whose ECF-co... Click to show full abstract

We consider the efficiency of approximating real numbers by their convergents of Engel continued fractions (ECF). Specifically, we estimate the Hausdorff dimension of the set of points whose ECF-co...

Keywords: approximation efficiency; continued fractions; efficiency partial; engel continued; note approximation

Journal Title: International Journal of Number Theory
Year Published: 2017

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