On a particular hyperquadratic continued fraction in F(p) with p>2
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 Fp, where T is a formal indeterminate. This continued fraction satisfies an algebraic equation of a particular type, with coefficients in Fp[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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