Hyperquadratic continued fractions and automatic sequences
classification
🧮 math.NT
keywords
automaticcontinuedfieldfinitefractionssequencesalgebraiccertain
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The aim of this note is to show the existence of a correspondance between certain algebraic continued fractions in fields of power series over a finite field and automatic sequences in the same finite field. this connection is illustrated by three families of examples and a counterexample.
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