Small Pisot Numbers

M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse and J. P. Schreiber
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M. J. Bertin: Université Pierre et Marie Curie Mathématiques
A. Decomps-Guilloux: Université Pierre et Marie Curie Mathématiques
M. Grandet-Hugot: Université de Caen Mathématiques
M. Pathiaux-Delefosse: Université Pierre et Marie Curie Mathématiques
J. P. Schreiber: Université d’Orléans, Château de la Source

Chapter Chapter 7 in Pisot and Salem Numbers, 1992, pp 119-151 from Springer

Abstract: Abstract Using Schur’s algorithm for generating all Pisot numbers less than or equal to $${{\hat \theta }_{15}} \simeq 1.6183608 \ldots $$ , we prove that Inf S = θ 0, where ϑ 0 = 1.3247179572... satisfies the equation X 3 − X − 1 = 0, and that $$Inf S' = (\sqrt 5 + 1)/2$$ .

Keywords: Rational Function; Unit Circle; Finite Rank; Algebraic Integer; Rational Integer (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-0348-8632-1_7

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