Edit Profile (opens in new tab) Laurent, Michel Compute Distance To: Compute Author ID: laurent.michel Published as: Laurent, Michel; Laurent, M.; Laurent, Michael more...less Homepage: http://iml.univ-mrs.fr/editions/biblio/bib-laurent.html External Links: MGP Documents Indexed: 49 Publications since 1978 1 Further Contribution Co-Authors: 17 Co-Authors with 19 Joint Publications 433 Co-Co-Authors all top 5 Co-Authors 31 single-authored 6 Bugeaud, Yann 6 Nogueira, Arnaldo C. R. 4 Roy, Damien 3 Bertrand, Daniel 2 Mignotte, Maurice 2 Nesterenko, Yuriĭ Valentinovich 2 Philippon, Patrice 2 Waldschmidt, Michel 1 Amoroso, Francesco Antonio 1 Brownawell, W. Dale 1 Dani, Shrikrishna Gopalrao 1 Emsalem, Michel 1 Gramain, Francois 1 Huttner, Marc 1 Kim, Donghan 1 Langevin, Michel 1 Moreau, Jean-Charles 1 Poulakis, Dimitrios 1 Rémond, Guy 1 Reyssat, Eric all top 5 Serials 4 Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 3 Acta Arithmetica 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Annales de l’Institut Fourier 2 Mathematische Zeitschrift 2 Journal of Modern Dynamics 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Publicationes Mathematicae 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Bulletin of the Greek Mathematical Society 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Moscow Mathematical Journal 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 1 Moscow Journal of Combinatorics and Number Theory all top 5 Fields 49 Number theory (11-XX) 12 Algebraic geometry (14-XX) 7 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 509 times in 400 Documents Cited by ▼ Year ▼ Exponential diophantine equations. (Équations diophantiennes exponentielles.) Zbl 0554.10009Laurent, Michel 89 1984 Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri 88 1995 Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074Laurent, Michel 59 2008 Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333Bugeaud, Yann; Laurent, Michel 31 2005 Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers. (Minoration effective de la distance \(p\)-adique entre puissances de nombres algébriques.) Zbl 0870.11045Bugeaud, Y.; Laurent, M. 29 1996 On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039Bugeaud, Yann; Laurent, Michel 23 2005 On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086Bugeaud, Yann; Laurent, Michel 15 2010 Exponents of Diophantine approximation in dimension two. Zbl 1229.11101Laurent, Michel 15 2009 Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II). Zbl 0661.10027Laurent, Michel 15 1989 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 13 2001 On transfer inequalities in Diophantine approximation. Zbl 1163.11053Laurent, Michel 13 2009 Simultaneous rational approximation to the successive powers of a real number. Zbl 1049.11069Laurent, Michel 11 2003 Minoration de la hauteur de Neron-Tate. Zbl 0521.14010Laurent, Michel 10 1983 Exponents of diophantine approximation. Zbl 1229.11098Bugeaud, Yann; Laurent, Michel 10 2007 Sur quelques résultats récents de transcendance. (On some recent transcendence results). Zbl 0762.11027Laurent, Michel 10 1991 Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106Laurent, Michel; Roy, Damien 8 1999 Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). Zbl 0923.11105Laurent, Michel; Roy, Damien 8 1999 Linear forms in two logarithms and interpolation determinants. Zbl 0801.11034Laurent, Michel 7 1994 Rotation number of contracted rotations. Zbl 1444.11154Laurent, Michel; Nogueira, Arnaldo 6 2018 Inhomogeneous approximation with coprime integers and lattice orbits. Zbl 1273.11106Laurent, Michel; Nogueira, Arnaldo 6 2012 Hauteur de matrices d’interpolation. (Height of interpolation matrices). Zbl 0773.11047Laurent, Michel 5 1992 Approximation to points in the plane by \(\text{SL}(2,\mathbb Z)\)-orbits. Zbl 1268.11092Laurent, Michel; Nogueira, Arnaldo 5 2012 Criteria of algebraic independence with multiplicities and approximation by surfaces. Zbl 0990.11047Laurent, Michel; Roy, Damien 4 2001 Multi-dimensional metric approximation by primitive points. Zbl 1311.11062Dani, S. G.; Laurent, Michel; Nogueira, Arnaldo 4 2015 Équations exponentielles polynômes et suites récurrentes linéaires. (Exponential polynomial equations and linear recurrence sequences). Zbl 0621.10014Laurent, Michel 4 1987 Transcendance de periodes d’intégrales elliptiques. Zbl 0419.10034Laurent, M. 3 1980 Transcendance de periodes d’intégrales elliptiques. II. Zbl 0475.10031Laurent, Michel 3 1982 On the global distance between two algebraic points on a curve. Zbl 1055.11046Laurent, Michel; Poulakis, Dimitrios 3 2004 Some remarks on the approximation of complex numbers by algebraic numbers. Zbl 0971.11035Laurent, Michel 2 1999 Sur la transcendance du rapport de deux intégrales Euleriennes. Zbl 0514.10028Laurent, Michel 1 1983 Interpolation determinants of exponential polynomials. Zbl 0960.11036Laurent, Michel 1 2000 Exemples d’ensembles de multiplicité. Zbl 0471.10022Laurent, Michel 1 1981 Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033Bertrand, Daniel; Laurent, Michel 1 1981 New methods in algebraic independence. Zbl 0933.11039Laurent, Michel 1 1998 \(p\)-adic rank of units and action of groups. (Rang \(p\)-adique d’unités et action de groupes.) Zbl 0666.12001Laurent, Michel 1 1989 A new demonstration of the isogeny theorem (after D. V. et G. V. Choodnovsky). (Une nouvelle démonstration du théorème d’isogénie (d’après D. V. et G. V. Choodnovsky).) Zbl 0658.14021Laurent, Michel 1 1987 Équations diophantiennes exponentielles. Zbl 0533.10011Laurent, Michel 1 1983 Les nombres transcendants. Zbl 0548.10021Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. 1 1984 Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series. Zbl 1470.37064Laurent, Michel; Nogueira, Arnaldo 1 2021 Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series. Zbl 1470.37064Laurent, Michel; Nogueira, Arnaldo 1 2021 Rotation number of contracted rotations. Zbl 1444.11154Laurent, Michel; Nogueira, Arnaldo 6 2018 Multi-dimensional metric approximation by primitive points. Zbl 1311.11062Dani, S. G.; Laurent, Michel; Nogueira, Arnaldo 4 2015 Inhomogeneous approximation with coprime integers and lattice orbits. Zbl 1273.11106Laurent, Michel; Nogueira, Arnaldo 6 2012 Approximation to points in the plane by \(\text{SL}(2,\mathbb Z)\)-orbits. Zbl 1268.11092Laurent, Michel; Nogueira, Arnaldo 5 2012 On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086Bugeaud, Yann; Laurent, Michel 15 2010 Exponents of Diophantine approximation in dimension two. Zbl 1229.11101Laurent, Michel 15 2009 On transfer inequalities in Diophantine approximation. Zbl 1163.11053Laurent, Michel 13 2009 Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074Laurent, Michel 59 2008 Exponents of diophantine approximation. Zbl 1229.11098Bugeaud, Yann; Laurent, Michel 10 2007 Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333Bugeaud, Yann; Laurent, Michel 31 2005 On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039Bugeaud, Yann; Laurent, Michel 23 2005 On the global distance between two algebraic points on a curve. Zbl 1055.11046Laurent, Michel; Poulakis, Dimitrios 3 2004 Simultaneous rational approximation to the successive powers of a real number. Zbl 1049.11069Laurent, Michel 11 2003 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 13 2001 Criteria of algebraic independence with multiplicities and approximation by surfaces. Zbl 0990.11047Laurent, Michel; Roy, Damien 4 2001 Interpolation determinants of exponential polynomials. Zbl 0960.11036Laurent, Michel 1 2000 Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106Laurent, Michel; Roy, Damien 8 1999 Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). Zbl 0923.11105Laurent, Michel; Roy, Damien 8 1999 Some remarks on the approximation of complex numbers by algebraic numbers. Zbl 0971.11035Laurent, Michel 2 1999 New methods in algebraic independence. Zbl 0933.11039Laurent, Michel 1 1998 Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers. (Minoration effective de la distance \(p\)-adique entre puissances de nombres algébriques.) Zbl 0870.11045Bugeaud, Y.; Laurent, M. 29 1996 Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri 88 1995 Linear forms in two logarithms and interpolation determinants. Zbl 0801.11034Laurent, Michel 7 1994 Hauteur de matrices d’interpolation. (Height of interpolation matrices). Zbl 0773.11047Laurent, Michel 5 1992 Sur quelques résultats récents de transcendance. (On some recent transcendence results). Zbl 0762.11027Laurent, Michel 10 1991 Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II). Zbl 0661.10027Laurent, Michel 15 1989 \(p\)-adic rank of units and action of groups. (Rang \(p\)-adique d’unités et action de groupes.) Zbl 0666.12001Laurent, Michel 1 1989 Équations exponentielles polynômes et suites récurrentes linéaires. (Exponential polynomial equations and linear recurrence sequences). Zbl 0621.10014Laurent, Michel 4 1987 A new demonstration of the isogeny theorem (after D. V. et G. V. Choodnovsky). (Une nouvelle démonstration du théorème d’isogénie (d’après D. V. et G. V. Choodnovsky).) Zbl 0658.14021Laurent, Michel 1 1987 Exponential diophantine equations. (Équations diophantiennes exponentielles.) Zbl 0554.10009Laurent, Michel 89 1984 Les nombres transcendants. Zbl 0548.10021Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. 1 1984 Minoration de la hauteur de Neron-Tate. Zbl 0521.14010Laurent, Michel 10 1983 Sur la transcendance du rapport de deux intégrales Euleriennes. Zbl 0514.10028Laurent, Michel 1 1983 Équations diophantiennes exponentielles. Zbl 0533.10011Laurent, Michel 1 1983 Transcendance de periodes d’intégrales elliptiques. II. Zbl 0475.10031Laurent, Michel 3 1982 Exemples d’ensembles de multiplicité. Zbl 0471.10022Laurent, Michel 1 1981 Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033Bertrand, Daniel; Laurent, Michel 1 1981 Transcendance de periodes d’intégrales elliptiques. Zbl 0419.10034Laurent, M. 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 333 Authors 34 Luca, Florian 33 Bugeaud, Yann 24 Togbé, Alain 17 Mignotte, Maurice 17 Roy, Damien 13 Schleischitz, Johannes 12 Cipu, Mihai 11 Laurent, Michel 11 Miyazaki, Takafumi 10 Ghioca, Dragos 9 Evertse, Jan-Hendrik 9 Fujita, Yasutsugu Fujita 9 He, Bo 9 Le, Maohua 9 Ziegler, Volker 8 Bennett, Michael A. 8 Gómez, Carlos Alexis 8 Győry, Kálmán 8 Zannier, Umberto M. 7 Bilu, Yuri F. 6 Corvaja, Pietro 6 Fischler, Stéphane 6 Marnat, Antoine 6 Marques, Diego 6 Pethő, Attila 6 Schmidt, Wolfgang M. 6 Siksek, Samir 5 Philippon, Patrice 5 Shparlinski, Igor E. 5 Terai, Nobuhiro 5 Waldschmidt, Michel 4 Amoroso, Francesco Antonio 4 Bérczes, Attila 4 David, Sinnou 4 Filipin, Alan 4 German, Oleg N. 4 Ghosh, Anish 4 Gómez, Jhonny C. 4 Hajdu, Lajos 4 Moshchevitin, Nikolay G. 4 Ostafe, Alina 4 Pila, Jonathan 4 Pink, István 4 Pintér, Ákos 4 Soydan, Gokhan 4 Yuan, Pingzhi 3 Beresnevich, Victor V. 3 Fu, Ruiqin 3 Heuberger, Clemens 3 Kizildere, Elif 3 Kristensen, Simon 3 Kühne, Lars 3 Langmann, Klaus 3 Nguyen, Khoa Dang 3 Nogueira, Arnaldo C. R. 3 Poels, Anthony 3 Rihane, Salah Eddine 3 Saleh, Sina 3 Sarnak, Peter Clive 3 Tijdeman, Robert 3 Yang, Hai 2 Adamczewski, Boris 2 Allen, Demi 2 Badziahin, Dzmitry A. 2 Bainbridge, Matt 2 Bell, Jason P. 2 Ben Maaouia, Mohamed Ben Fraj 2 Bertrand, Daniel 2 Bliznac Trebješanin, Marija 2 Budur, Nero 2 Cabrer, Leonardo Manuel 2 Chow, Sam 2 Ddamulira, Mahadi 2 de Mathan, Bernard 2 de Weger, Benjamin M. M. 2 Deng, Moujie 2 Denis, Laurent 2 Dimca, Alexandru 2 Edjeou, Bilizimbéyé 2 Erazo, Harold S. 2 Gramain, Francois 2 Guan, Lifan 2 Guella, Jean Carlo 2 Günaydın, Ayhan 2 Habegger, Philipp 2 Hernane, Mohand-Ouamar 2 Hoshi, Akinari 2 Hu, Yongzhong 2 Hussain, Mumtaz 2 Kafle, Bir 2 Kihel, Omar 2 Leroux, Louis 2 Masser, David William 2 Menegatto, Valdir Antonio 2 Möller, Martin 2 Mundici, Daniele 2 Odjoumani, Japhet 2 Papadima, Ștefan 2 Patel, Bijan Kumar 2 Patel, Vandita ...and 233 more Authors all top 5 Cited in 113 Serials 52 Journal of Number Theory 25 Journal de Théorie des Nombres de Bordeaux 15 Transactions of the American Mathematical Society 12 Compositio Mathematica 12 International Journal of Number Theory 11 Monatshefte für Mathematik 10 Acta Arithmetica 10 Annales de l’Institut Fourier 9 Mathematics of Computation 8 Inventiones Mathematicae 8 Mathematika 8 Indagationes Mathematicae. New Series 7 Mathematical Proceedings of the Cambridge Philosophical Society 6 Bulletin of the Australian Mathematical Society 6 Periodica Mathematica Hungarica 6 Advances in Mathematics 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 Proceedings of the Japan Academy. Series A 6 Acta Mathematica Hungarica 5 Duke Mathematical Journal 5 Glasgow Mathematical Journal 5 Journal of Symbolic Computation 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Ergodic Theory and Dynamical Systems 4 Turkish Journal of Mathematics 4 The New York Journal of Mathematics 4 The Ramanujan Journal 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin de la Société Mathématique de France 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Annals of Mathematics. Second Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Modern Dynamics 3 Science China. Mathematics 2 Lithuanian Mathematical Journal 2 Nonlinearity 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Symbolic Logic 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Theoretical Computer Science 2 Journal of the American Mathematical Society 2 Journal of Mathematical Sciences (New York) 2 Positivity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Mediterranean Journal of Mathematics 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Constructive Approximation 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Sugaku Expositions 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 Glasnik Matematički. Serija III 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Chinese Science Bulletin 1 Applied and Computational Harmonic Analysis 1 Fractals 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Journal of Integer Sequences 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Mathematical Logic 1 Integers 1 Algebraic & Geometric Topology ...and 13 more Serials all top 5 Cited in 31 Fields 357 Number theory (11-XX) 52 Algebraic geometry (14-XX) 33 Dynamical systems and ergodic theory (37-XX) 16 Mathematical logic and foundations (03-XX) 11 Group theory and generalizations (20-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Field theory and polynomials (12-XX) 8 Commutative algebra (13-XX) 7 Topological groups, Lie groups (22-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Combinatorics (05-XX) 6 Computer science (68-XX) 5 Abstract harmonic analysis (43-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year