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arXiv · 1710.00613

On a particular hyperquadratic continued fraction in F(p) with p>2

Alain Lasjaunias
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Abstract

Given an odd prime number p, we describe a continued fraction in the field F(p) of power series in 1/T with coefficients in the finite field F_p, where T is a formal indeterminate. This continued fraction satisfies an algebraic equation of a particular type, with coefficients in F_p[T] which are explicitely given. We observe the close connection with other algebraic continued fractions studied thirty years ago by Mills and Robbins.

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Alain Lasjaunias. 2017-10-02. On a particular hyperquadratic continued fraction in F(p) with p>2. https://arxiv.org/abs/1710.00613

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