Sur les K-nombres de Pisot de petite mesure

Toufik Zaïmi

Acta Arithmetica (1996)

  • Volume: 77, Issue: 2, page 103-131
  • ISSN: 0065-1036

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Toufik Zaïmi. "Sur les K-nombres de Pisot de petite mesure." Acta Arithmetica 77.2 (1996): 103-131. <http://eudml.org/doc/206912>.

@article{ToufikZaïmi1996,
author = {Toufik Zaïmi},
journal = {Acta Arithmetica},
keywords = {-Pisot number; measure of an algebraic integer; totally real cubic field; Schur's algorithm; complex quadratic number fields; Mahler measure},
language = {fre},
number = {2},
pages = {103-131},
title = {Sur les K-nombres de Pisot de petite mesure},
url = {http://eudml.org/doc/206912},
volume = {77},
year = {1996},
}

TY - JOUR
AU - Toufik Zaïmi
TI - Sur les K-nombres de Pisot de petite mesure
JO - Acta Arithmetica
PY - 1996
VL - 77
IS - 2
SP - 103
EP - 131
LA - fre
KW - -Pisot number; measure of an algebraic integer; totally real cubic field; Schur's algorithm; complex quadratic number fields; Mahler measure
UR - http://eudml.org/doc/206912
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, Acta Arith. 68 (1994), 113-131. 
  3. [3] M. J. Bertin, K-nombres de Pisot et de Salem, dans : Advances in Number Theory, F. Q. Gouvêa et N. Yui (eds.), Proceedings of the third Conference of the Canadian Number Theory Association, Oxford University Press, 1993, 391-397. 
  4. [4] M. J. Bertin et M. Pathiaux-Delefosse, Conjecture de Lehmer et petits nombres de Salem, Queen's Papers in Pure and Appl. Math. 81, Kingston, 1989. Zbl0707.11073
  5. [5] D. W. Boyd, Small Salem numbers, Duke Math. J. 44 (1977), 315-327. 
  6. [6] C. Chamfy, Fonctions méromorphes dans le cercle unité et leurs séries de Taylor, Ann. Inst. Fourier (Grenoble) 8 (1958), 211-261. Zbl0087.07603
  7. [7] M. M. J. Dufresnoy et C. Pisot, Etude de certaines fonctions méromorphes bornées sur le cércle unité, Ann. Sci. École Norm. Sup. 70 (1955), 69-92. Zbl0064.03703
  8. [8] M. Olivier, Tables de corps cubiques réels de discriminant inférieur à 2000000, ftp anonyme à l'URL 'ftp://megrez.math.u-bordeaux.fr/pub/numberfields'. 
  9. [9] Pari Calculator, par C. Batut, D. Bernardi, H. Cohen et M. Olivier, copyright 1989, 1992. 
  10. [10] C. Pisot, Quelques aspects de la théorie des entiers algébriques, Presses de l'Université de Montréal, 1963. 
  11. [11] A. Schinzel, On the product of the conjugates outside the unit circle of an algebraic number, Acta Arith. 24 (1973), 385-399. Zbl0275.12004

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