F. Amoroso, Sur le diamètre transfini entier d'un intervalle réel. Annales de I'Institut Fourier, tome 40, pp.885-91, 1990.
DOI : 10.5802/aif.1240

URL : http://archive.numdam.org/article/AIF_1990__40_4_885_0.pdf

B. J. Anderson and P. Nash, Linear programming in infinitedimensional spaces

E. Aparicio, Metodos para el calculo approximado de la desviacion diopantea uniforme minima a cero en un segmento, Revista Matematica Hispano-Americana, 4 Serie, t.XXXVIII, no6, pp.259-270, 1978.

]. E. Aparicio, New bounds for the uniform Diophantine deviation from zero in [0, 1] and [0,â]. Proceedings of the sixth conference of Portuguese ad Spanish mathematicians, Part I, pp.289-291, 1979.

D. W. Boyd, Reciprocal polynomials having small measure, Mathematics of Computation, vol.35, issue.152, pp.1361-1377, 1980.
DOI : 10.1090/S0025-5718-1980-0583514-9

D. W. Boyd, Supplement to Reciprocal Polynomials having Small Measure. II, Mathematics of Computation, vol.53, issue.187, pp.1-5, 1989.
DOI : 10.2307/2008384

L. Cerlienco, M. Mignotte, and F. Piras, Computing the measure of a polynomial, Journal of Symbolic Computation, vol.4, issue.1
DOI : 10.1016/S0747-7171(87)80050-0

E. W. Cheney, Introduction to approximation theory, 1966.

G. V. Chudnovsky, Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Con- ditions, Arithmetic and Geometry Birkhariser.Progress in Math, vol.35, pp.61-105, 1983.

M. Fekete, ???ber die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten, Mathematische Zeitschrift, vol.9, issue.1, pp.228-249, 1923.
DOI : 10.1007/BF01504345

M. Fekete and G. Szego, On algebraic equations with integral coefficients whose roots belong to a given point set, Mathematische Zeitschrift, vol.87, issue.1, pp.158-172, 1955.
DOI : 10.1007/BF01187931

O. Ferguson, Approximation by polynomials with integral coef- ficients
DOI : 10.1090/surv/017

]. V. Flammang, Two new poinl;s in the spectrum of the absolute Mahler measure of totally positive algebraic integers

V. Flammang, Sur le diamètre transfini entier d'un intervalle à extrémités rationnelles. A paraître dans les Annales de I'Institut Fourier
DOI : 10.5802/aif.1473

URL : http://archive.numdam.org/article/AIF_1995__45_3_779_0.pdf

V. Flammang, Comparaison de deux mesures de polyn??mes, Bulletin canadien de math??matiques, vol.38, issue.4
DOI : 10.4153/CMB-1995-064-5

G. Hôhn and N. Skoruppa, Un r??sultat de Schinzel, Journal de Th??orie des Nombres de Bordeaux, vol.5, issue.1, p.185, 1993.
DOI : 10.5802/jtnb.88

M. Langevin, Mesures des polynômes et des nombres algébriques, 1980.

M. Langevin, Méthode de Fekete-Szegô et problème de Lehmer, C.R.Acad, pp.463-466, 1985.

R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique. Comptes rendus, série I, vol.296, pp.707-708, 1983.

J. A. Nelder and R. Mead, A Simplex Method for Function Minimization, The Computer Journal, vol.7, issue.4, p.308, 1965.
DOI : 10.1093/comjnl/7.4.308

W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes. The art of scientific computing, 1986.

G. Rhin, Généralisation d'un théorème de A.Schinzel' A paraître dans Acta Arithmetica

G. Rhin, Cours de DEA de Théorie Des Nombres, pp.1992-93

G. Rhin, Diamètre transfini et mesures d'irrationalité des loga- rithmes. Notes de conférences données à I'Université de Pise en mars, 1989.

G. Rhin and C. Smyth, On the absolute Mahler measure of polynomials having all zeros in a sector, Mathematics of Computation, vol.64, issue.209
DOI : 10.1090/S0025-5718-1995-1257579-6

URL : https://hal.archives-ouvertes.fr/hal-01231488

C. L. Siegel, The trace of totally positive and real algebraic inte- gers

C. J. Smyth, On the measure of totally real algebraic integers, Journal of the Australian Mathematical Society, vol.21, issue.02, pp.137-149, 1980.
DOI : 10.4153/CMB-1978-023-x

C. J. Smyth, On the measure of totally real algebraic integers. II, Mathematics of Computation, vol.37, issue.155, pp.205-208, 1981.
DOI : 10.1090/S0025-5718-1981-0616373-7

C. J. Smyth, The mean values of totally real algebraic integers, Mathematics of Computation, vol.42, issue.166, pp.663-681, 1984.
DOI : 10.1090/S0025-5718-1984-0736460-5

C. J. Smyth, Totally positive algebraic integers of small trace. Annales de I'Institut Fourier, tome 33, pp.1-28, 1984.

]. C. Smyth, On the Product of the Conjugates outside the unit circle of an Algebraic Integer, Bulletin of the London Mathematical Society, vol.3, issue.2, pp.169-175, 1971.
DOI : 10.1112/blms/3.2.169

D. Zagier, Algebraic numbers close to both 0 and 1, Math.Comp., tome 61, pp.485-491, 1993.

S. Zhang, Positive line bundlcs on arithmetic surfaces, p.84, 1992.

Q. Descendants-de, = { -13u6 *63c5 -l43xa +159c3 -82s2*l7a-I, R(Qzz) -2, 41493292.

. Descendants-de-qza, R(Qze) -2,41421205. r(Qze) = sr4 -27 ols 1310s12 -1996c11 * 8008o10 -21069ce *37329ae8 -45ll3x7 * 37329s6 -21069s5 * 8008ca -1996e3 * 31012 -27x * | et R(T(Qza)) -2.375856e8 T2 (Qza) = x28, pp.17-30