Langevin, M.; Reyssat, E.; Rhin, G. Diamètres transfinis et problème de Favard. (Transfinite diameters and the Favard problem). (French) Zbl 0634.12003 Ann. Inst. Fourier 38, No. 1, 1-16 (1988). Tout entier algébrique irrationnel a deux conjugués éloignés d’au moins \(\sqrt{3}\). Reviewer: M.Langevin Cited in 4 ReviewsCited in 3 Documents MSC: 11R04 Algebraic numbers; rings of algebraic integers 11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure Keywords:Favard problem; conjugate algebraic integers × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML References: [1] [Be] , Géométrie, Tome 3, Cedic, Nathan, 1978. · Zbl 0423.51001 [2] [Bl] , Greatest distance between zeros of integral polynomials ; in Elementary and analytic theory of numbers, Banach center publications, vol. 17, Varsovie, 1984. · Zbl 0596.12019 [3] [Bl, LS, M] , , , On diameters of algebraic integers, preprint à paraître. · Zbl 0693.12001 [4] [D] , Tables minorant la racine n-ième du discriminant d’un corps de degré n, Publications mathématiques d’Orsay, 1980. · Zbl 0482.12003 [5] [Hae] , Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa, 16 (1962), 367-397. · JFM 55.0724.01 [6] [F2] , Sur les nombres algébriques, Mathematica, 4 (1930), 109-113. · JFM 56.0863.01 [7] [L1] , Approche géométrique du problème de Favard, CRAS, 10 (1987), 245-248. · Zbl 0608.12024 [8] [Me2] , Polynomial bound on the distribution of poles in scattering by an obstacle · Zbl 0621.35073 [9] [LS1] , Problems on the distribution of conjugates of algebraic numbers, Ph. D. Thesis, Univ. of Adelaide, 1980. · Zbl 0474.12004 [10] [LS2] , On a problem of Favard concerning algebraic integers, Bull. Austral. Math. Soc., 29 (1984), 111-121. · Zbl 0545.12001 [11] [M1] , Petits discriminants des corps de nombres, in “Journées arithmétiques 1980”, J.V. Armitage éd., London Math. Soc. Lecture Notes Series, 56 (1982), 151-193. · Zbl 0491.12005 [12] [M2] , Méthodes géométriques dans la recherche des petits discriminants, Séminaire de théorie des nombres, Paris, 1983/1984, Birkhäuser. · Zbl 0567.12009 [13] [N] , Conformal mapping, 1952. · Zbl 0048.31503 [14] [P] , On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields ; J. Number theory, 14 (1982), 99-117. · Zbl 0478.12005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.