Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem

Mohamed Kerada

Acta Arithmetica (1995)

  • Volume: 72, Issue: 1, page 55-65
  • ISSN: 0065-1036

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Mohamed Kerada. "Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem." Acta Arithmetica 72.1 (1995): 55-65. <http://eudml.org/doc/206784>.

@article{MohamedKerada1995,
author = {Mohamed Kerada},
journal = {Acta Arithmetica},
keywords = {Mahler's measure; -Salem numbers},
language = {fre},
number = {1},
pages = {55-65},
title = {Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem},
url = {http://eudml.org/doc/206784},
volume = {72},
year = {1995},
}

TY - JOUR
AU - Mohamed Kerada
TI - Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem
JO - Acta Arithmetica
PY - 1995
VL - 72
IS - 1
SP - 55
EP - 65
LA - fre
KW - Mahler's measure; -Salem numbers
UR - http://eudml.org/doc/206784
ER -

References

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  1. [1] M. J. Bertin, Familles fermées de nombres algébriques, Acta Arith. 39 (1981), 207-240. Zbl0514.12020
  2. [2] M. J. Bertin et D. W. Boyd, Une caractérisation de certaines classes de nombres de Salem, C. R. Acad. Sci. Paris Sér. I 303 (1986), 837-839. Zbl0607.12002
  3. [3] M. J. Bertin et D. W. Boyd, A characterization of two related classes of Salem numbers, J. Number Theory, à paraître. Zbl0824.11069
  4. [4] M. J. Bertin et M. Pathiaux, Conjecture de Lehmer et petits nombres de Salem, Queen's Papers in Pure and Appl. Math. 81 (1989). Zbl0707.11073
  5. [5] D. W. Boyd, Small Salem numbers, Duke Math. J. 44 (1977), 315-328. 
  6. [6] D. W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), 1361-1377. Zbl0447.12002
  7. [7] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. Zbl0007.19904
  8. [8] R. Salem, Power series with integral coefficients, Duke Math. J. 12 (1945), 135-172. 
  9. [9] R. Salem, Algebraic Number and Fourier Analysis, Heath and Co., Boston, 1963. Zbl0126.07802
  10. [10] 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

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