B. [. Adler and . Marcus, Topological entropy and equivalence of dynamical systems, Memoirs of the American Mathematical Society, vol.20, issue.219, p.219, 1979.
DOI : 10.1090/memo/0219

. [. Amoroso, Sur des polynômes de petites mesures de Mahler, C. R. Acad. Sci. Paris Sér. I Math, vol.321, pp.11-14, 1995.

. [. Amoroso, Algebraic numbers close to 1: results and methods, in Number Theory (Tiruchirapalli, pp.210-305, 1996.

]. F. Add1, S. Amoroso, and . David, Le théorème de Dobrowolski en dimension supérieure, C. R. Acad. Sci. paris Sér. I Math, vol.326, pp.1163-1166, 1998.

]. F. Add2, S. Amoroso, and . David, Leprobì eme de Lehmer en dimension supérieure, J. Reine Angew. Math, vol.513, pp.145-179, 1999.

J. Verger-gaugry-[-adn, ]. F. Amoroso, and S. Delsinne, Une minoration relative explicite pour la hauteur dans une extension d'une extension abélienne, Diophantine geometry, CRM Series Norm, vol.4, pp.1-24, 2007.

D. [. Amoroso, A Lower Bound for the Height in Abelian Extensions, Journal of Number Theory, vol.80, issue.2, pp.260-272, 2000.
DOI : 10.1006/jnth.1999.2451

M. [. Amoroso and . Mignotte, On the distribution on the roots of polynomials, Annales de l???institut Fourier, vol.46, issue.5, pp.1275-1291, 1996.
DOI : 10.5802/aif.1548

U. [. Amoroso and . Zannier, A Lower Bound for the Height in Abelian Extensions, Journal of Number Theory, vol.80, issue.2, pp.260-272, 2000.
DOI : 10.1006/jnth.1999.2451

U. [. Amoroso and . Zannier, A uniform relative Dobrowolski's lower bound over abelian extensions, Bulletin of the London Mathematical Society, vol.42, issue.3, pp.489-498, 2010.
DOI : 10.1112/blms/bdq008

A. M. Apostol, Zeta and related functions, NIST handbook of mathematical functions, National Institute of Standards and Technology, pp.601-616, 2010.

]. M. Bk and . Baker, Canonical heights on elliptic curves over abelian extensions, Int. Math. Res. Not, vol.29, pp.1571-1589, 2003.

]. M. Bn and . Bertin, Quelques résultats nouveaux sur les nombres de Pisot et de Salem, Number Theory in Progress, An Intern. Conf. on Number Theory, org, Stefan Banach Int. Math. Research Center, vol.I, pp.1-10, 1997.

]. Y. Bu and . Bilu, Limit distribution of small points on algebraic tori, Duke Math, J, vol.89, pp.465-476, 1997.

]. P. Bym, H. L. Blansky, and . Montgomery, Algebraic integers near the unit circle, Acta Arith, pp.355-369, 1971.

. P. Bdm, E. Borwein, M. J. Dobrowolski, and . Mossinghoff, Lehmer's problem for polynomials with odd coefficients, Ann. of Math, vol.166, pp.347-366, 2007.

. Bs-]-p, A. Borwein, and . Straub, Mahler measures, short walks and log-sine integrals, Theoret. Comput. Sci, pp.479-483, 2013.

]. D. Bo0 and . Boyd, Pisot numbers and the width of meromorphic functions, privately circulated manuscript, 1977.

]. D. Bo1 and . Boyd, Variations on a Theme of Kronecker, Canad, Math. Bull, vol.21, pp.129-133, 1978.

]. D. Bo2 and . Boyd, Kronecker's Theorem and Lehmer's Problem for polynomials in Several Variables, J. Number Th, vol.13, pp.116-121, 1981.

]. D. Bo3 and . Boyd, Speculations concerning the range of Mahler's measure, Canad, Math. Bull, vol.24, pp.453-469, 1981.

]. D. Bo4 and . Boyd, The maximal modulus of an algebraic integer, Math. Comp, vol.45, pp.243-249, 1985.

. W. Bm-]-d, M. J. Boyd, and . Mossinghoff, Small Limit Points of Mahler's Measure, Exp. Math, vol.14, pp.403-414, 2005.

]. R. Br and . Breusch, On the distribution of the roots of a polynomial with integral coefficients, Proc. Amer, pp.939-941, 1951.

. C. Cs-]-d, E. G. Cantor, and . Strauss, On a conjecture of D.H Lehmer, Acta Arith, Correction: ibid, vol.4283, issue.423, pp.97-100, 1982.

]. J. Ca and . Cassels, On a problem of Schinzel and Zassenhaus, J. Math. Sciences, vol.1, pp.1-8, 1966.

[. Chern and J. D. Vaaler, The distribution of values of Mahler's measure, J. reine angew, Math, vol.540, pp.1-47, 2001.

. S. Dh, M. David, J. M. Hindry, and . Angew, Minoration de la hauteur de Néron-Tate sur les variétés de type C, Math, vol.529, pp.1-74, 2000.

]. R. Di and . Dingle, Asymptotic Expansions: their Derivation and Interpretation, 1973.

]. J. Dds, A. Dixon, and . Dubickas, The values of Mahler Measures, Mathematika, vol.51, pp.131-148, 2004.

]. E. Do1 and . Dobrowolski, On the Maximal Modulus of Conjugates of an Algebraic Integer, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys, vol.26, pp.291-292, 1978.

]. E. Do2 and . Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith, vol.34, pp.391-401, 1979.

]. A. Ds1 and . Dubickas, On a conjecture of A. Schinzel and H. Zassenhaus, Acta Arith, pp.15-20, 1993.

A. Dubickas, On algebraic numbers of small measure, Lithuanian Math, J, vol.35, pp.333-342, 1995.

]. A. Ds3 and . Dubickas, The maximal conjugate of a non-reciprocal algebraic integer, Lithuanian Math, J, vol.37, issue.2, pp.129-133, 1997.

]. A. Ds4 and . Dubickas, Nonreciprocal algebraic numbers of small measure, Comment. Math. Univ. Carolin, vol.45, pp.693-697, 2004.

]. A. Ds5 and . Dubickas, On numbers which are Mahler measures, Monatsh. Math, vol.141, pp.119-126, 2004.

. [. Erd¨oserd¨, P. Erd¨os, . Tur´antur´, and . Tur´an, On the Distribution of Roots of Polynomials, The Annals of Mathematics, vol.51, issue.1, pp.105-119, 1950.
DOI : 10.2307/1969500

. [. Flammang, THE MAHLER MEASURE OF TRINOMIALS OF HEIGHT 1, Journal of the Australian Mathematical Society, vol.8, issue.02, pp.231-243, 2014.
DOI : 10.1080/10586458.2008.10128872
URL : https://hal.archives-ouvertes.fr/hal-01235097

J. [. Flatto, B. Lagarias, and . Poonen, The zeta function of the betatransformation, Ergod. Th. Dynam. Sys, vol.14, pp.237-266, 1994.

. Gm and M. Galateau, Some consequences of Masser's counting Theorem on Elliptic Curves, 2015.

. [. Ganelius, Sequences of analytic functions and their zeros, Arkiv f??r Matematik, vol.3, issue.1, pp.1-50, 1953.
DOI : 10.1007/BF02589280

. Hs-]-m, J. Hindry, and . Silverman, On Lehmer's conjecture for elliptic curves, Séminaire de Théorie des Nombres Progress in Math. 91, pp.103-116, 1988.

]. M. Lg and . Langevin, Calculs explicites de constantes de Lehmer, in Groupe de travail en théorie analytique etélémentaireet´etélémentaire des nombres, Publ. Math. Orsay, vol.88, pp.52-68, 1986.

]. M. La and . Laurent, Minoration de la hauteur de Néron-Tate, in Séminaire de Théorie des Nombres Paris, Progress in Math, vol.38, pp.137-152, 1981.

M. Laurent, Sur quelques résultats récents de transcendance, Astérisque, Journées Arithmétiques Luminy, pp.209-230, 1991.

]. W. Lw and . Lawton, A Problem of Boyd Concerning Geometric Means of Polynomials, J. Number Theory, vol.16, pp.356-362, 1983.

]. D. Le and . Lehmer, Factorization of certain cyclotomic functions, Ann. Math, vol.34, pp.461-479, 1933.

]. L. Ln and . Lewin, Polylogarithms and associated functions, 1981.

]. R. Lt and . Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris Série I, t, pp.296-707, 1983.

]. D. Ma and . Masser, Counting points of small height on elliptic curves Bull, Mv] E.M. MATVEEV, On the cardinality of algebraic integers, pp.247-265, 1989.

M. Mignotte, Entiers algébriques dont les conjugués sont proches du cercle unité, Séminaire Delange-Pisot-Poitou, Théorie des Nombres, Fasc. 2, Exp. No. 39, 6 pp, 1977.

M. Mignotte, Remarque sur une question relativè a des fonctions conjuguées, C. R

. Acad and . Sci, Paris, Série I, t, pp.315-907, 1992.

]. M. Mf and . Mossinghoff, Polynomials with small Mahler measure, Math. Comp, vol.67, pp.1697-1705, 1998.

]. M. Mfl and . Mossinghoff, Known polynomials through degree 180, 1996.

]. C. Pe and . Petsche, A quantitative version of Bilu's equidistribution theorem, Int. J. Number Theory, vol.1, pp.281-291, 2005.

]. I. Pr and . Pritsker, Distribution of algebraic numbers, J. reine angew. Math, vol.657, p.5780, 2011.

]. N. Rz and . Ratazzi, Théorème de Dobrowolski-Laurent pour les extensions abéliennes sur une courbe elliptiquè a multiplications complexes, Int. Math. res. Not, vol.58, pp.3121-3152, 2004.

]. U. Ra and . Rausch, On a theorem of Dobrowolski about the product of conjugate numbers, Colloq. Math, vol.50, pp.137-142, 1985.

]. G. Rd and . Emond, Intersection de sous-groupes et de sous-variétés I, Math. Ann, vol.333, pp.525-548, 2005.

]. A. Re and . Enyi, Representations for real numbers and their ergodic properties

C. [. Rhin and . Smyth, On the absolute Mahler measure of polynomials having all zeros in a sector, Mathematics of Computation, vol.64, issue.209, pp.295-304, 1995.
DOI : 10.1090/S0025-5718-1995-1257579-6
URL : https://hal.archives-ouvertes.fr/hal-01231488

Q. [. Rhin and . Wu, On the absolute Mahler measure of polynomials having all zeros in a sector. II, Mathematics of Computation, vol.74, issue.249, pp.383-388, 2005.
DOI : 10.1090/S0025-5718-04-01676-X
URL : https://hal.archives-ouvertes.fr/hal-01231488

]. A. Sc1 and . Schinzel, Reducibility of lacunary polynomials, Acta Arith, vol.16, pp.123-159, 1969.

A. Schinzel, On the product of the conjugates outside the unit circle of an algebraic number, Acta Arith. Addendum: ibid, vol.24, issue.26, pp.385-39975, 1973.

]. A. Sc3 and . Schinzel, On the Mahler measure of polynomials in many variables, Acta Arith, vol.79, pp.77-81, 1997.

. A. Sz, H. Schinzel, and . Zassenhaus, A refinment of two theorems of Kronecker, Michigan Math, J, vol.12, pp.81-85, 1965.

]. E. Sr and . Selmer, On the irreducibility of certain trinomials, Math. Scand, vol.4, pp.287-302, 1956.

]. J. Sn and . Silverman, Lehmer's Conjecture for Polynomials Satisfying a Congruence Divisibility Condition and an Analogue for Elliptic Curves, J. Théorie Nombres Bordeaux, vol.24, pp.751-772, 2012.

]. C. Si and . Sinclair, The distribution of Mahler's measures of reciprocal polynomials, Int. J. Math. Math. Sci, pp.49-52, 2004.

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

C. Smyth, On measures of polynomials in several variables, Bulletin of the Australian Mathematical Society, vol.4, issue.01, pp.49-63, 1981.
DOI : 10.1112/jlms/s1-37.1.341

]. C. Sy3 and . Smyth, The Mahler measure of algebraic numbers: A Survey, in Number Theory and Polynomials, London Math. Soc. Lecture Note series 352, pp.322-349, 2008.

]. C. Sy4 and . Smyth, Topics in the Theory of Numbers, 1972.

]. J. Sff and . Steffensen, Interpolation, 1927.

]. C. St and . Stewart, Algebraic integers whose conjugates lie near the unit circle, Bull. Soc. Math. France, vol.106, pp.169-176, 1978.

. J. Sb, R. Stoer, and . Bulirsch, Introduction to Numerical Analysis, Texts in Appl, Math, vol.12, 1993.

[. Verger-gaugry, Uniform distribution of the Galois conjugates and betaconjugates of a Parry number near the unit circle and dichotomy of Perron numbers, Uniform Distribution Theory J, vol.3, pp.157-190, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00341880

. [. Voutier, An effective lower bound for the height of algebraic numbers, Acta Arith, pp.81-95, 1996.

M. Waldschmidt, Auxiliary functions in transcendental number theory, The Ramanujan Journal, vol.12, issue.3, pp.341-373, 2009.
DOI : 10.1007/s11139-009-9204-y

M. Waldschmidt, Diophantine Approximation on Luinear Algebraic Group: transcendence properties of the exponential function in several variables, Grund. Math. Wiss, vol.326, 2000.

]. Q. Wu and . Wu, The smallest Perron numbers, Mathematics of Computation, vol.79, issue.272, pp.2387-2394, 2010.
DOI : 10.1090/S0025-5718-10-02345-8

]. D. Za and . Zagier, Algebraic numbers close to 0 and 1, Math, Comp, vol.61, pp.485-491, 1993.

]. T. Zi and . Za¨imiza¨imi, Sur les K-nombres de Pisot de petite mesure, Acta Arith, pp.103-131, 1996.