IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-8632-1_10.html
   My bibliography  Save this book chapter

Rational Functions Over Rings of Adeles

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

In Chapter 11 we will discuss various generalizations of Pisot and Salem numbers. We will define sets with properties analogous to those of S and T, such as distribution modulo 1, or topological properties such as the fact that S is closed. The first attempt at generalization was to consider not algebraic integers but algebraic numbers that are zeros of polynomials in Z[X] and whose leading coefficient is a fixed integer q. These sets were discussed in Chapter 9. In fact, generalizing the distribution modulo 1 leads us to consider a more general framework: not the ring of adeles of Q, but certain subrings that provide an appropriate domain for such investigations through the Artin decomposition.

Suggested Citation

  • M. J. Bertin & A. Decomps-Guilloux & M. Grandet-Hugot & M. Pathiaux-Delefosse & J. P. Schreiber, 1992. "Rational Functions Over Rings of Adeles," Springer Books, in: Pisot and Salem Numbers, chapter 0, pages 177-188, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-8632-1_10
    DOI: 10.1007/978-3-0348-8632-1_10
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-0348-8632-1_10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.