Corps de nombres engendrés par un nombre de Salem

Franck Lalande

Acta Arithmetica (1999)

  • Volume: 88, Issue: 2, page 191-200
  • ISSN: 0065-1036

How to cite

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Franck Lalande. "Corps de nombres engendrés par un nombre de Salem." Acta Arithmetica 88.2 (1999): 191-200. <http://eudml.org/doc/207239>.

@article{FranckLalande1999,
author = {Franck Lalande},
journal = {Acta Arithmetica},
keywords = {nombres de Salem; théorie de Galois; polynômes réciproques; Salem number; Galois group},
language = {fre},
number = {2},
pages = {191-200},
title = {Corps de nombres engendrés par un nombre de Salem},
url = {http://eudml.org/doc/207239},
volume = {88},
year = {1999},
}

TY - JOUR
AU - Franck Lalande
TI - Corps de nombres engendrés par un nombre de Salem
JO - Acta Arithmetica
PY - 1999
VL - 88
IS - 2
SP - 191
EP - 200
LA - fre
KW - nombres de Salem; théorie de Galois; polynômes réciproques; Salem number; Galois group
UR - http://eudml.org/doc/207239
ER -

References

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  1. [Be] M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugo, M. Pathiaux-Delefosse and J. P. Schreiber, Pisot and Salem Numbers, Birkhäuser, Basel, 1992. 
  2. [Bo1] D. W. Boyd, Small Salem numbers, Duke Math. J. 44 (1977), 315-327. 
  3. [Bo2] D. W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), 1361-1377. Zbl0447.12002
  4. [Bo3] D. W. Boyd, Reciprocal polynomials having small measure 2, Math. Comp. 53 (1989), 355-357, S1-S5. Zbl0684.12003
  5. [Bu] G. Butler and J. McKay, The transitive groups of degree up to eleven, Comm. Algebra 11 (1983), 863-911. Zbl0518.20003
  6. [CM] H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 2nd ed., Springer, 1965. 
  7. [G] K. Girstmair, On the computation of resolvents and Galois groups, Manuscripta Math. 43 (1983), 289-307. Zbl0525.12019
  8. [L] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. Zbl0007.19904
  9. [M1] M. J. Mossinghoff, Polynomials with small Mahler measure, Math. Comp. 67 (1998), 1697-1705. Zbl0918.11056
  10. [M2] M. J. Mossinghoff, Algorithms for the determination of polynomials with small Mahler measure, Ph.D. thesis, University of Texas at Austin, 1995. 
  11. [O] M. Olivier, Corps sextiques primitifs. 4, Sém. Théor. Nombres Bordeaux (2) 3 (1991), no. 2, 381-404. Zbl0768.11051
  12. [P] C. Batut, D. Bernardi, H. Cohen and M. Olivier, User's Guide to PARI-GP, Version 1.39, 1995. 
  13. [S] R. P. Stauduhar, The determination of Galois groups, Math. Comp. 27 (1973), 981-996. Zbl0282.12004

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