Sur la fermeture de l'ensemble des K-nombres de Pisot

Toufik Zaïmi

Acta Arithmetica (1998)

  • Volume: 83, Issue: 4, page 363-367
  • ISSN: 0065-1036

How to cite

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Toufik Zaïmi. "Sur la fermeture de l'ensemble des K-nombres de Pisot." Acta Arithmetica 83.4 (1998): 363-367. <http://eudml.org/doc/207127>.

@article{ToufikZaïmi1998,
author = {Toufik Zaïmi},
journal = {Acta Arithmetica},
keywords = {Pisot numbers; rational number fields; quadratic extensions},
language = {fre},
number = {4},
pages = {363-367},
title = {Sur la fermeture de l'ensemble des K-nombres de Pisot},
url = {http://eudml.org/doc/207127},
volume = {83},
year = {1998},
}

TY - JOUR
AU - Toufik Zaïmi
TI - Sur la fermeture de l'ensemble des K-nombres de Pisot
JO - Acta Arithmetica
PY - 1998
VL - 83
IS - 4
SP - 363
EP - 367
LA - fre
KW - Pisot numbers; rational number fields; quadratic extensions
UR - http://eudml.org/doc/207127
ER -

References

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  1. [1] A. M. Bergé et J. Martinet, Notions relatives de régulateurs et de hauteurs, Acta Arith. 54 (1989), 155-170. Zbl0642.12011
  2. [2] M. J. Bertin, K-nombres de Pisot et de Salem, ibid. 68 (1994), 113-131. 
  3. [3] C. Chamfy, Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor, Ann. Inst. Fourier (Grenoble) 8 (1958), 211-262. Zbl0087.07603
  4. [4] J. Dufresnoy et C. Pisot, Etude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques, Ann. Sci. Ecole Norm. Sup. (3) 72 (1955), 69-92. Zbl0064.03703
  5. [5] R. Salem, Algebraic Numbers and Fourier Analysis, Heath Math. Monographs, Heath, Boston, 1963. Zbl0126.07802
  6. [6] A. Schinzel, On the product of the conjugates outside the unit circle of an algebraic number, Acta Arith. 24 (1973), 385-399. Zbl0275.12004
  7. [7] C. J. Smyth, On the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc. 3 (1971), 169-175. Zbl0235.12003
  8. [8] T. Zaïmi, Sur les K-nombres de Pisot de petite mesure, Acta Arith. 77 (1996), 103-131. 

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