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Pisot Elements in a Field of Formal Power Series

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Pisot and Salem Numbers

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Abstract

Suppose k is an arbitrary commutative field; in this chapter we define and study sets of algebraic elements over k[x] analogous to the sets U and S.

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References

  1. P. Bateman and A. Duquette, The analogue of Pisot-Vijayaraghavan numbers in fields of power series, III. J. Math., 6, (1962), 594–406.

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  2. E. Dubois, Algorithme de Jacobi-Perron dans un corps de séries formelles, Thèse 3è cycle, Caen, (1970).

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  4. M. GRANDET-HUGOT, Eléments algébriques remarquables dans un corps de séries formelles, Acta Arith. 14, (1968), 177–184.

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  6. A. Thue, Über eine Eigenschaft die keine tranzendente Grosse haben kann, Skrifter Vidensk Krislina, 2, (1912), 1–15

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Authors and Affiliations

  1. Université Pierre et Marie Curie Mathématiques, 4 place Jussieu, F-75252, Paris Cedex 05, France

    Dr. M. J. Bertin, Dr. A. Decomps-Guilloux & Dr. M. Pathiaux-Delefosse

  2. Université de Caen Mathématiques, Esplanade de la Paix, F-14032, Caen Cedex, France

    Prof. M. Grandet-Hugot

  3. Château de la Source, Université d’Orléans, B.P. 6749, F-45067, Orléans Cedex, France

    Prof. J. P. Schreiber

Authors
  1. Dr. M. J. Bertin
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  2. Dr. A. Decomps-Guilloux
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  3. Prof. M. Grandet-Hugot
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  4. Dr. M. Pathiaux-Delefosse
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  5. Prof. J. P. Schreiber
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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). Pisot Elements in a Field of Formal Power Series. In: Pisot and Salem Numbers. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8632-1_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8632-1_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9706-8

  • Online ISBN: 978-3-0348-8632-1

  • eBook Packages: Springer Book Archive

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