Article ID Journal Published Year Pages File Type
4582884 Finite Fields and Their Applications 2014 23 Pages PDF
Abstract

We consider β-expansions of formal Laurent series over finite fields. If the base β is a Pisot or Salem series, we prove that the β-expansion of a Laurent series α is automatic if and only if α is algebraic.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Automatic β-expansions of formal Laurent series over finite fields
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