K-nombres de Pisot et de Salem

M. J. Bertin

Acta Arithmetica (1994)

  • Volume: 68, Issue: 2, page 113-131
  • ISSN: 0065-1036

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M. J. Bertin. "K-nombres de Pisot et de Salem." Acta Arithmetica 68.2 (1994): 113-131. <http://eudml.org/doc/206648>.

@article{M1994,
author = {M. J. Bertin},
journal = {Acta Arithmetica},
keywords = {totally real fields; algebraic integer; -Salem number; -Pisot numbers; real quadratic fields; small Mahler measure},
language = {fre},
number = {2},
pages = {113-131},
title = {K-nombres de Pisot et de Salem},
url = {http://eudml.org/doc/206648},
volume = {68},
year = {1994},
}

TY - JOUR
AU - M. J. Bertin
TI - K-nombres de Pisot et de Salem
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 2
SP - 113
EP - 131
LA - fre
KW - totally real fields; algebraic integer; -Salem number; -Pisot numbers; real quadratic fields; small Mahler measure
UR - http://eudml.org/doc/206648
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, Hauteurs et nombres de Pisot relatifs, Groupe d'étude en théorie analytique des nombres, Paris, 1990. 
  3. [3] M. J. Bertin, K-nombres de Pisot et de Salem, dans : Advances in Number Theory, F. Gouvêa and N. Yui (eds.), Oxford Science Publications, 1993, 391-397. 
  4. [4] D. W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), 1361-1377 Zbl0447.12002
  5. [5] D. W. Boyd, Inverse problems for Mahler's measure, dans: London Math. Soc. Lecture Note Ser. 109, Cambridge Univ. Press, 1986, 147-158. 
  6. [6] Ch. Chamfy, Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor, Ann. Inst. Fourier (Grenoble) 8 (1958), 211-261. Zbl0087.07603
  7. [7] J. Dufresnoy et Ch. Pisot, Etude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques, Ann. Sci. École Norm. Sup. (3) 72 (1955), 69-92. Zbl0064.03703
  8. [8] Ch. Pisot, Répartition (mod 1) des puissances successives des nombres réels, Comment. Math. Helv. 19 (1947), 153-160. Zbl0063.06259

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