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Pisot Numbers, Salem Numbers and Distribution Modulo 1

In: Pisot and Salem Numbers

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. J. Bertin & A. Decomps-Guilloux & M. Grandet-Hugot & M. Pathiaux-Delefosse & J. P. Schreiber, 1992. "Pisot Numbers, Salem Numbers and Distribution Modulo 1," Springer Books, in: Pisot and Salem Numbers, chapter 0, pages 77-99, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-8632-1_5
    DOI: 10.1007/978-3-0348-8632-1_5
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