Biblio LAURENT Michel

Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Michel LAURENT

Année

Publications
Files Type

2010 Laurent Michel.
On inhomogeneous Diophantine approximations and the Hausdorff dimension. (Russian).
Fundam. Prikl. Mat. 16, no. 5, 93--101, 2010. arXiv ACL

Bugeaud Yann, Laurent Michel.
On transfer inequalities in Diophantine approximation. II.
Math. Z. 265, no. 2, 249--262, 2010. ACL

2009 Laurent Michel.
On transfer inequalities in Diophantine approximation.
Math. Zeitschrift, published on line 28 March 2009 and Analytic number theory, 306--314, Cambridge Univ. Press, Cambridge, 2009. ACL

Laurent Michel.
Exponents of Diophantine approximation in dimension two.
Canad. J. Math. 61, no. 1, 165--189, 2009. ACL

2008 Laurent Michel.
Linear forms in two logarithms and interpolation determinants. II.
Acta Arith. 133, no. 4, 325--348, 2008. ACL

2007 Bugeaud Yann, Laurent Michel.
Exponents of Diophantine approximation.
Diophantine geometry, 101--121, CRM Series, 4, Ed. Norm., Pisa, 2007. ACL

2005 Bugeaud Yann, Laurent Michel.
On exponents of homogeneous and inhomogeneous Diophantine approximation.
Mosc. Math. J. 5, no. 4, 747--766, 972, 2005.

Bugeaud Yann, Laurent Michel.
Exponents of Diophantine approximation and Sturmian continued fractions.
Ann. Inst. Fourier (Grenoble) 55, no. 3, 773--804, 2005.

2004 Laurent Michel.
Totally real integral points on a plane algebraic curve.
Number theory, 203--208, CRM Proc. Lecture Notes, 36, Amer. Math. Soc., Providence, RI, 2004.

Laurent Michel, Poulakis Dimitrios.
On the global distance between two algebraic points on a curve.
J. Number Theory 104, no. 2, 210--254, 2004.

2003 Laurent Michel.
Simultaneous rational approximation to the successive powers of a real number.
Indag. Math. (N.S.) 14, no. 1, 45--53, 2003.

2001 Laurent Michel.
Algebraic independence in algebraic groups. I. Small transcendence degrees.
Introduction to algebraic independence theory, 199--211, Lecture Notes in Math., 1752, Springer, Berlin, 2001.

2000 Laurent Michel.
Interpolation determinants of exponential polynomials. Dedicated to Professor Kalman Györy on the occasion of his 60th birthday,
Publ. Math. Debrecen 56, no. 3-4, 457--473, 2000 [Lau97]

1999 Laurent Michel.
Some remarks on the approximation of complex numbers by algebraic numbers.
Proceedings of the 2nd Panhellenic Conference in Algebra and Number Theory (Thessaloniki, 1998). Bull. Greek Math. Soc. 42, 49--57, 1999

Laurent Michel, Roy Damien
Criteria of algebraic independence with multiplicities and interpolation determinants,
Trans. Amer. Math. Soc. 351, no. 5, 1845--1870, 1999 [LR99a]

Laurent Michel, Roy Damien
Sur l'approximation algébrique en degré transcendance un [Algebraic approximation in transcendence degree one],
Ann. Inst. Fourier (Grenoble) 49, no. 1, v, ix, 27--55, 1999 [LR99b]

Laurent Michel.
Diophantine approximation and algebraic independence,
Colloque Franco-Japonais : Théorie des Nombres Transcendants (Tokyo, 1998), 75--89, Sem. Math. Sci., 27, Keio Univ., Yokohama, 1999

1998	Laurent Michel New methods in algebraic independence, Number theory (Eger, 1996), 311--330, de Gruyter, Berlin, 1998	[Lau98a]
1996	Bugeaud Y., Laurent Michel Minoration effective de la distance p-adique entre puissances de nombres algébriques [Effective lower bound for the p-adic distance between powers of algebraic numbers], J. Number Theory 61, no. 2, 311--342, 1996	[LB96]
1995	Laurent Michel, Mignotte Maurice, Nesterenko Yuri Formes linéaires en deux logarithmes et déterminants d'interpolation [Linear forms in two logarithms and interpolation determinants], J. Number Theory 55, no. 2, 285--321, 1995
1994	Laurent Michel Linear forms in two logarithms and interpolation determinants, Acta Arith. 66, no. 2, 181--199, 1994
1992	Laurent Michel Sur quelques résultats récents de transcendance [Some recent results concerning transcendence], Journées Arithmétiques, 1989 (Luminy, 1989). Astérisque No. 198-200 (1991), 209--230, 1992
	Laurent Michel Hauteur de matrices d'interpolation [Height of interpolation matrices], Approximations diophantiennes et nombres transcendants (Luminy, 1990), 215--238, de Gruyter, Berlin, 1992
	Waldschmidt Michel (with an appendix by Laurent Michel) Linear independence of logarithms of algebraic numbers, IMS Report, 116. Institute of Mathematical Sciences, Madras. iv+168 pp., 1992
1990	Laurent Michel Rang p-adique d'unités : un point de vue torique [p-adic rank of units : a toric point of view], Séminaire de Théorie des Nombres, Paris 1987--88, 131--146, Progr. Math., 81, Birkhäuser Boston, Boston, MA, 1990
1989	Laurent Michel Équations exponentielles-polynômes et suites récurrentes linéaires. II [Exponential-polynomial equations and linear recurrent sequences. II], J. Number Theory 31, no. 1, 24--53, 1989
	Laurent Michel Rang p-adique d'unités et action de groupes [p-adic rank of units and group actions], J. Reine Angew. Math. 399, 81--108, 1989
1987	Laurent Michel Une nouvelle démonstration du théorème d'isogénie, d'après D. V. et G. V. Choodnovsky [A new proof of the isogeny theorem, following D. V. and G. V. Chudnovsky], Séminaire de Théorie des Nombres, Paris 1985--86, 119--131, Progr. Math., 71, Birkhäuser Boston, Boston, MA, 1987
	Laurent Michel Équations exponentielles polynômes et suites récurrentes linéaires. I [Exponential polynomial equations and recurrent sequences. I], Journées arithmétiques de Besan?n (Besan?n, 1985). Astérisque No. 147-148, 121--139, 343--344, 1987
1984	Bertrand D., Emsalem M., Gramain F., Huttner M., Langevin M., Laurent Michel, Mignotte M., Moreau J.-C., Philippon P., Reyssat É., Waldschmidt M. Les nombres transcendants [Transcendental numbers] Mém. Soc. Math. France (N.S.) No. 13, 60 pp, 1984
	Laurent Michel Équations diophantiennes exponentielles [Exponential Diophantine equations], C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 23, 945--947 and in Seminar on number theory, 1983--1984 (Talence, 1983/1984), Exp. No. 4, 8 pp., Univ. Bordeaux I, Talence and also in Invent. Math. 78, no. 2, 299--327, 1984
1983	Laurent Michel Minoration de la hauteur de Néron-Tate [Lower bounds of the Neron-Tate height], Seminar on number theory, Paris 1981--82 (Paris, 1981/1982), 137--151, Progr. Math., 38, Birkhäuser Boston, Boston, Mass., 1983
	Laurent Michel Sur la transcendance du rapport de deux intégrales euleriennes [On the transcendence of the ratio of two Euler integrals], Diophantine approximations and transcendental numbers (Luminy, 1982), 133--141, Progr. Math., 31, Birkhäuser Boston, Boston, Mass., 1983
1982	Laurent Michel Transcendance de périodes d'intégrales elliptiques. II [Transcendence of the periods of elliptic integrals. II], J. Reine Angew. Math. 333, 144--161, 1982
1981	Bertrand Daniel, Laurent Michel Propriétés de transcendance de nombres liés aux fonctions thêta, C. R. Acad. Sci. Paris Sér. I Math. 292, no. 16, 747--749, 1981
	Laurent Michel Exemples d'ensembles de multiplicité, C. R. Acad. Sci. Paris Sér. I Math. 292, no. 6, 367--370, 1981
1980	Laurent Michel Indépendance linéaire de valeurs de fonctions doublement quasi-périodiques, C. R. Acad. Sci. Paris Sér. A-B 290, no. 9, A397--A399, 1980
	Laurent Michel Transcendance de périodes d'intégrales elliptiques. I [Transcendence of the periods of elliptic integrals. I], C. R. Acad. Sci. Paris Sér. A-B 288 (1979), no. 15, 699--701 and in Séminaire Delange-Pisot-Poitou, 20e année: 1978/1979. Théorie des nombres, Fasc. 1, Exp. No. 13, 4 pp., Secrétariat Math., Paris, 1980 and also in J. Reine Angew. Math. 316, 122--139, 1980
	Laurent Michel Approximation diophantienne de valeurs de la fonction beta aux points rationnels, Ann. Fac. Sci. Toulouse Math. (5) 2, no. 1, 53--65, 1980
1978	Laurent Michel Indépendence algébrique de nombres de Liouville élevés à des puissances algébriques, C. R. Acad. Sci. Paris Sér. A-B 286, no. 3, A131--A133, 1978

Last update : november 16, 2011, EL.

Année	Publications	Files	Type
2010	Laurent Michel. On inhomogeneous Diophantine approximations and the Hausdorff dimension. (Russian). Fundam. Prikl. Mat. 16, no. 5, 93--101, 2010.	arXiv	ACL
	Bugeaud Yann, Laurent Michel. On transfer inequalities in Diophantine approximation. II. Math. Z. 265, no. 2, 249--262, 2010.		ACL
2009	Laurent Michel. On transfer inequalities in Diophantine approximation. Math. Zeitschrift, published on line 28 March 2009 and Analytic number theory, 306--314, Cambridge Univ. Press, Cambridge, 2009.		ACL
	Laurent Michel. Exponents of Diophantine approximation in dimension two. Canad. J. Math. 61, no. 1, 165--189, 2009.		ACL
2008	Laurent Michel. Linear forms in two logarithms and interpolation determinants. II. Acta Arith. 133, no. 4, 325--348, 2008.		ACL
2007	Bugeaud Yann, Laurent Michel. Exponents of Diophantine approximation. Diophantine geometry, 101--121, CRM Series, 4, Ed. Norm., Pisa, 2007.		ACL
2005	Bugeaud Yann, Laurent Michel. On exponents of homogeneous and inhomogeneous Diophantine approximation. Mosc. Math. J. 5, no. 4, 747--766, 972, 2005.
	Bugeaud Yann, Laurent Michel. Exponents of Diophantine approximation and Sturmian continued fractions. Ann. Inst. Fourier (Grenoble) 55, no. 3, 773--804, 2005.
2004	Laurent Michel. Totally real integral points on a plane algebraic curve. Number theory, 203--208, CRM Proc. Lecture Notes, 36, Amer. Math. Soc., Providence, RI, 2004.
	Laurent Michel, Poulakis Dimitrios. On the global distance between two algebraic points on a curve. J. Number Theory 104, no. 2, 210--254, 2004.
2003	Laurent Michel. Simultaneous rational approximation to the successive powers of a real number. Indag. Math. (N.S.) 14, no. 1, 45--53, 2003.
2001	Laurent Michel. Algebraic independence in algebraic groups. I. Small transcendence degrees. Introduction to algebraic independence theory, 199--211, Lecture Notes in Math., 1752, Springer, Berlin, 2001.
2000	Laurent Michel. Interpolation determinants of exponential polynomials. Dedicated to Professor Kalman Györy on the occasion of his 60th birthday, Publ. Math. Debrecen 56, no. 3-4, 457--473, 2000	[Lau97]
1999	Laurent Michel. Some remarks on the approximation of complex numbers by algebraic numbers. Proceedings of the 2nd Panhellenic Conference in Algebra and Number Theory (Thessaloniki, 1998). Bull. Greek Math. Soc. 42, 49--57, 1999
	Laurent Michel, Roy Damien Criteria of algebraic independence with multiplicities and interpolation determinants, Trans. Amer. Math. Soc. 351, no. 5, 1845--1870, 1999	[LR99a]
	Laurent Michel, Roy Damien Sur l'approximation algébrique en degré transcendance un [Algebraic approximation in transcendence degree one], Ann. Inst. Fourier (Grenoble) 49, no. 1, v, ix, 27--55, 1999	[LR99b]
	Laurent Michel. Diophantine approximation and algebraic independence, Colloque Franco-Japonais : Théorie des Nombres Transcendants (Tokyo, 1998), 75--89, Sem. Math. Sci., 27, Keio Univ., Yokohama, 1999