×
Compute Distance To:
Author ID: laurent.michel Recent zbMATH articles by "Laurent, Michel"
Published as: Laurent, Michel; Laurent, M.; Laurent, Michael
Homepage: http://iml.univ-mrs.fr/editions/biblio/bib-laurent.html
External Links: MGP

Publications by Year

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 0554.10009
Laurent, Michel
89
1984
Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036
Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri
88
1995
Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074
Laurent, Michel
59
2008
Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333
Bugeaud, 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 0870.11045
Bugeaud, Y.; Laurent, M.
29
1996
On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039
Bugeaud, Yann; Laurent, Michel
23
2005
On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086
Bugeaud, Yann; Laurent, Michel
15
2010
Exponents of Diophantine approximation in dimension two. Zbl 1229.11101
Laurent, Michel
15
2009
Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II). Zbl 0661.10027
Laurent, 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 1163.11053
Laurent, Michel
13
2009
Simultaneous rational approximation to the successive powers of a real number. Zbl 1049.11069
Laurent, Michel
11
2003
Minoration de la hauteur de Neron-Tate. Zbl 0521.14010
Laurent, Michel
10
1983
Exponents of diophantine approximation. Zbl 1229.11098
Bugeaud, Yann; Laurent, Michel
10
2007
Sur quelques résultats récents de transcendance. (On some recent transcendence results). Zbl 0762.11027
Laurent, Michel
10
1991
Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106
Laurent, Michel; Roy, Damien
8
1999
Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). Zbl 0923.11105
Laurent, Michel; Roy, Damien
8
1999
Linear forms in two logarithms and interpolation determinants. Zbl 0801.11034
Laurent, Michel
7
1994
Rotation number of contracted rotations. Zbl 1444.11154
Laurent, Michel; Nogueira, Arnaldo
6
2018
Inhomogeneous approximation with coprime integers and lattice orbits. Zbl 1273.11106
Laurent, Michel; Nogueira, Arnaldo
6
2012
Hauteur de matrices d’interpolation. (Height of interpolation matrices). Zbl 0773.11047
Laurent, Michel
5
1992
Approximation to points in the plane by \(\text{SL}(2,\mathbb Z)\)-orbits. Zbl 1268.11092
Laurent, Michel; Nogueira, Arnaldo
5
2012
Criteria of algebraic independence with multiplicities and approximation by surfaces. Zbl 0990.11047
Laurent, Michel; Roy, Damien
4
2001
Multi-dimensional metric approximation by primitive points. Zbl 1311.11062
Dani, S. G.; Laurent, Michel; Nogueira, Arnaldo
4
2015
Équations exponentielles polynômes et suites récurrentes linéaires. (Exponential polynomial equations and linear recurrence sequences). Zbl 0621.10014
Laurent, Michel
4
1987
Transcendance de periodes d’intégrales elliptiques. Zbl 0419.10034
Laurent, M.
3
1980
Transcendance de periodes d’intégrales elliptiques. II. Zbl 0475.10031
Laurent, Michel
3
1982
On the global distance between two algebraic points on a curve. Zbl 1055.11046
Laurent, Michel; Poulakis, Dimitrios
3
2004
Some remarks on the approximation of complex numbers by algebraic numbers. Zbl 0971.11035
Laurent, Michel
2
1999
Sur la transcendance du rapport de deux intégrales Euleriennes. Zbl 0514.10028
Laurent, Michel
1
1983
Interpolation determinants of exponential polynomials. Zbl 0960.11036
Laurent, Michel
1
2000
Exemples d’ensembles de multiplicité. Zbl 0471.10022
Laurent, Michel
1
1981
Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033
Bertrand, Daniel; Laurent, Michel
1
1981
New methods in algebraic independence. Zbl 0933.11039
Laurent, Michel
1
1998
\(p\)-adic rank of units and action of groups. (Rang \(p\)-adique d’unités et action de groupes.) Zbl 0666.12001
Laurent, 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 0658.14021
Laurent, Michel
1
1987
Équations diophantiennes exponentielles. Zbl 0533.10011
Laurent, Michel
1
1983
Les nombres transcendants. Zbl 0548.10021
Bertrand, 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 1470.37064
Laurent, Michel; Nogueira, Arnaldo
1
2021
Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series. Zbl 1470.37064
Laurent, Michel; Nogueira, Arnaldo
1
2021
Rotation number of contracted rotations. Zbl 1444.11154
Laurent, Michel; Nogueira, Arnaldo
6
2018
Multi-dimensional metric approximation by primitive points. Zbl 1311.11062
Dani, S. G.; Laurent, Michel; Nogueira, Arnaldo
4
2015
Inhomogeneous approximation with coprime integers and lattice orbits. Zbl 1273.11106
Laurent, Michel; Nogueira, Arnaldo
6
2012
Approximation to points in the plane by \(\text{SL}(2,\mathbb Z)\)-orbits. Zbl 1268.11092
Laurent, Michel; Nogueira, Arnaldo
5
2012
On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086
Bugeaud, Yann; Laurent, Michel
15
2010
Exponents of Diophantine approximation in dimension two. Zbl 1229.11101
Laurent, Michel
15
2009
On transfer inequalities in Diophantine approximation. Zbl 1163.11053
Laurent, Michel
13
2009
Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074
Laurent, Michel
59
2008
Exponents of diophantine approximation. Zbl 1229.11098
Bugeaud, Yann; Laurent, Michel
10
2007
Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333
Bugeaud, Yann; Laurent, Michel
31
2005
On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039
Bugeaud, Yann; Laurent, Michel
23
2005
On the global distance between two algebraic points on a curve. Zbl 1055.11046
Laurent, Michel; Poulakis, Dimitrios
3
2004
Simultaneous rational approximation to the successive powers of a real number. Zbl 1049.11069
Laurent, 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 0990.11047
Laurent, Michel; Roy, Damien
4
2001
Interpolation determinants of exponential polynomials. Zbl 0960.11036
Laurent, Michel
1
2000
Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106
Laurent, Michel; Roy, Damien
8
1999
Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). Zbl 0923.11105
Laurent, Michel; Roy, Damien
8
1999
Some remarks on the approximation of complex numbers by algebraic numbers. Zbl 0971.11035
Laurent, Michel
2
1999
New methods in algebraic independence. Zbl 0933.11039
Laurent, 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 0870.11045
Bugeaud, Y.; Laurent, M.
29
1996
Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036
Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri
88
1995
Linear forms in two logarithms and interpolation determinants. Zbl 0801.11034
Laurent, Michel
7
1994
Hauteur de matrices d’interpolation. (Height of interpolation matrices). Zbl 0773.11047
Laurent, Michel
5
1992
Sur quelques résultats récents de transcendance. (On some recent transcendence results). Zbl 0762.11027
Laurent, Michel
10
1991
Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II). Zbl 0661.10027
Laurent, Michel
15
1989
\(p\)-adic rank of units and action of groups. (Rang \(p\)-adique d’unités et action de groupes.) Zbl 0666.12001
Laurent, Michel
1
1989
Équations exponentielles polynômes et suites récurrentes linéaires. (Exponential polynomial equations and linear recurrence sequences). Zbl 0621.10014
Laurent, 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 0658.14021
Laurent, Michel
1
1987
Exponential diophantine equations. (Équations diophantiennes exponentielles.) Zbl 0554.10009
Laurent, Michel
89
1984
Les nombres transcendants. Zbl 0548.10021
Bertrand, 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 0521.14010
Laurent, Michel
10
1983
Sur la transcendance du rapport de deux intégrales Euleriennes. Zbl 0514.10028
Laurent, Michel
1
1983
Équations diophantiennes exponentielles. Zbl 0533.10011
Laurent, Michel
1
1983
Transcendance de periodes d’intégrales elliptiques. II. Zbl 0475.10031
Laurent, Michel
3
1982
Exemples d’ensembles de multiplicité. Zbl 0471.10022
Laurent, Michel
1
1981
Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033
Bertrand, Daniel; Laurent, Michel
1
1981
Transcendance de periodes d’intégrales elliptiques. Zbl 0419.10034
Laurent, M.
3
1980
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

Citations by Year