ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

  1. Département de Mathématique, École Normale Supérieure de Jijel, BP 98, Ouled Aissa 18000, Algérie

Bibliography

  1. M. J. Bertin, Familles fermées de nombres algébriques, Acta Arith. 39 (1981), 207-240.
  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.
  3. M. J. Bertin et D. W. Boyd, A characterization of two related classes of Salem numbers, J. Number Theory, à paraître.
  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).
  5. D. W. Boyd, Small Salem numbers, Duke Math. J. 44 (1977), 315-328.
  6. D. W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), 1361-1377.
  7. D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479.
  8. R. Salem, Power series with integral coefficients, Duke Math. J. 12 (1945), 135-172.
  9. R. Salem, Algebraic Number and Fourier Analysis, Heath and Co., Boston, 1963.
  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.
Pages:
55-65
Main language of publication
French
Received
1993-12-06
Published
1995
Exact and natural sciences