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arXiv · 1907.08016

On quadratic approximation for hyperquadratic continued fractions

Khalil Ayadi·Tomohiro Ooto
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Abstract

We study quadratic approximations for two families of hyperquadratic continued fractions in the field of Laurent series over a finite field. As the first application, we give the answer to a question of the second author concerning Diophantine exponents for algebraic Laurent series. As the second application, we determine the degrees of these families in particular case.

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Khalil Ayadi, Tomohiro Ooto. 2020-02-06. On quadratic approximation for hyperquadratic continued fractions. https://doi.org/10.1016/j.jnt.2020.02.008

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