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.
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References
F. Dress, Familles de séries formelles et ensembles de nombres algébriques, Ann. Scient. Ec. Norm. Sup., 4e Série, 1, (1968), 1–44.
C. Pisot, Familles compactes de fractions rationnelles et ensembles fermés de nombres algébriques. Ann. Scient. Ec. Norm. Sup., 3e Série, 81, (1964), 165–199.
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© 1992 Springer Basel AG
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Bertin, M.J., Decomps-Guilloux, A., Grandet-Hugot, M., Pathiaux-Delefosse, M., Schreiber, J.P. (1992). Compact Families of Rational Functions. In: Pisot and Salem Numbers. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8632-1_2
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DOI: https://doi.org/10.1007/978-3-0348-8632-1_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9706-8
Online ISBN: 978-3-0348-8632-1
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