Compact Families of Rational Functions

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 2 in Pisot and Salem Numbers, 1992, pp 19-25 from Springer

Abstract: Abstract The main aim of this book is to determine closed families of algebraic numbers. We can for instance associate to an algebraic number θ the rational function $$z \in C \to {{P(z)} \over {P*(z)}}$$ , P being the minimal polynomial of θ and P* the reciprocal polynomial of P. We therefore need to study families of rational functions with coefficients in Z.

Date: 1992
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DOI: 10.1007/978-3-0348-8632-1_2

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