Corps de nombres engendrés par un nombre de Salem
Franck Lalande
Acta Arithmetica, Tome 89 (1999), p. 191-200 / Harvested from The Polish Digital Mathematics Library
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207239
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     author = {Franck Lalande},
     title = {Corps de nombres engendr\'es par un nombre de Salem},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {191-200},
     zbl = {0944.11034},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav88i2p191bwm}
}
Franck Lalande. Corps de nombres engendrés par un nombre de Salem. Acta Arithmetica, Tome 89 (1999) pp. 191-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav88i2p191bwm/

[000] [Be] M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugo, M. Pathiaux-Delefosse and J. P. Schreiber, Pisot and Salem Numbers, Birkhäuser, Basel, 1992.

[001] [Bo1] D. W. Boyd, Small Salem numbers, Duke Math. J. 44 (1977), 315-327.

[002] [Bo2] D. W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), 1361-1377. | Zbl 0447.12002

[003] [Bo3] D. W. Boyd, Reciprocal polynomials having small measure 2, Math. Comp. 53 (1989), 355-357, S1-S5. | Zbl 0684.12003

[004] [Bu] G. Butler and J. McKay, The transitive groups of degree up to eleven, Comm. Algebra 11 (1983), 863-911. | Zbl 0518.20003

[005] [CM] H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 2nd ed., Springer, 1965.

[006] [G] K. Girstmair, On the computation of resolvents and Galois groups, Manuscripta Math. 43 (1983), 289-307. | Zbl 0525.12019

[007] [L] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. | Zbl 0007.19904

[008] [M1] M. J. Mossinghoff, Polynomials with small Mahler measure, Math. Comp. 67 (1998), 1697-1705. | Zbl 0918.11056

[009] [M2] M. J. Mossinghoff, Algorithms for the determination of polynomials with small Mahler measure, Ph.D. thesis, University of Texas at Austin, 1995.

[010] [O] M. Olivier, Corps sextiques primitifs. 4, Sém. Théor. Nombres Bordeaux (2) 3 (1991), no. 2, 381-404. | Zbl 0768.11051

[011] [P] C. Batut, D. Bernardi, H. Cohen and M. Olivier, User's Guide to PARI-GP, Version 1.39, 1995.

[012] [S] R. P. Stauduhar, The determination of Galois groups, Math. Comp. 27 (1973), 981-996. | Zbl 0282.12004