Pisot Numbers, Salem Numbers and Distribution Modulo 1

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 5 in Pisot and Salem Numbers, 1992, pp 77-99 from Springer

Abstract: Abstract This first chapter on Pisot and Salem numbers deals mainly with properties of distribution modulo 1 of certain sequences (λα n ). In particular we will show that Pisot and Salem numbers belong to the exceptional set of Koksma’s theorem. In order to display similarities and differences we will study the two sets together as often as posssible.

Keywords: Minimal Polynomial; Algebraic Integer; Integer Coefficient; Rational Integer; Pisot Number (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-0348-8632-1_5

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