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Bertrand, Daniel

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Author ID: bertrand.daniel Recent zbMATH articles by "Bertrand, Daniel"
Published as: Bertrand, D.; Bertrand, Daniel
Homepage: https://webusers.imj-prg.fr/~daniel.bertrand/
External Links: MGP · Wikidata
Documents Indexed: 92 Publications since 1973, including 6 Books
Reviewing Activity: 79 Reviews

Publications by Year

Citations contained in zbMATH

58 Publications have been cited 246 times in 186 Documents Cited by Year
Effective estimates for global relations on Euler-type series. Zbl 1176.11036
Bertrand, Daniel; Chirskii, Vladimir; Yebbou, Johan
19
2004
Minimal heights and polarizations on group varieties. Zbl 0847.11036
Bertrand, Daniel
16
1995
Algebraic subgroups of commutative algebraic groups. Zbl 0618.14020
Bertrand, Daniel; Philippon, Patrice
13
1988
Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U.
12
2016
A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields. Zbl 1276.12003
Bertrand, Daniel; Pillay, Anand
12
2010
Theta functions and transcendence. Zbl 0916.11043
Bertrand, Daniel
11
1997
One-parametric \(p\)-adic subgroups of a group variety. Zbl 0358.10016
Bertrand, Daniel
11
1977
Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016
Bertrand, Daniel; Beukers, Frits
10
1985
Duality on tori and multiplicative dependence relations. Zbl 0886.11035
Bertrand, Daniel
9
1997
Schanuel’s conjecture for non-isoconstant elliptic curves over function fields. Zbl 1215.14050
Bertrand, Daniel
8
2008
Unlikely intersections in Poincaré biextensions over elliptic schemes. Zbl 1304.11053
Bertrand, D.
6
2013
On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020
Bertrand, D.; Zudilin, W.
6
2003
A differential analog of Kummer theory. Zbl 0785.12002
Bertrand, Daniel
6
1992
Linear forms in elliptic integrals. Zbl 0425.10041
Bertrand, Daniel; Masser, David
6
1980
Algebraic groups and linear differential equations. Zbl 0813.12004
Bertrand, Daniel
5
1992
Extensions de \({\mathcal D}\)-modules et groupes de Galois differentiels. (Extensions of \({\mathcal D}\)-modules and differential Galois groups). Zbl 0732.13008
Bertrand, D.
5
1990
Galois representations and transcendental numbers. Zbl 0679.10024
Bertrand, D.
5
1988
Séries d’Eisenstein et transcendance. Zbl 0341.10031
Bertrand, Daniel
5
1976
Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations. Zbl 1016.12007
Bertrand, D.
4
2001
Nullstellensätze and transcendental numbers. Zbl 0613.14001
Bertrand, Daniel
4
1987
Kummer theory on the product of an elliptic curve by the multiplicative group. Zbl 0453.14019
Bertrand, D.
4
1981
Travaux récents sur les points singuliers des équations différentielles linéaires. Zbl 0445.12012
Bertrand, Daniel
4
1980
Linear forms on abelian varieties over local fields. Zbl 0432.10019
Bertrand, Daniel; Flicker, Yuval
4
1980
Self-dual blended extensions. Zbl 1272.18007
Bertrand, Daniel
3
2013
Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013
Bertrand, D.; Zudilin, W.
3
2001
Galois orbits on abelian varieties and zero estimates. Zbl 0597.10032
Bertrand, Daniel
3
1986
Endomorphismes de groupes algébriques; applications arithmétiques. Zbl 0526.10029
Bertrand, D.
3
1983
Sur les periodes de formes modulaires. Zbl 0407.10025
Bertrand, Daniel
3
1979
Fonctions modulaires, courbes de Tate et independance algébrique. Zbl 0396.10021
Bertrand, Daniel
3
1978
Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe. Zbl 0383.14015
Bertrand, Daniel
3
1978
Problèmes arithmétiques lies à l’exponentielle p-adique sur les courbes elliptiques. Zbl 0331.14014
Bertrand, Daniel
3
1976
Un théorème de Schneider-Lang sur certains domaines non simplement connexes. Zbl 0318.10024
Bertrand, Daniel
3
1975
Galois theory, functional Lindemann-Weierstrass, and Manin maps. Zbl 06541997
Bertrand, Daniel; Pillay, Anand
2
2016
The theorem of Siegel-Shidlovsky revisited. Zbl 1282.11081
Bertrand, Daniel
2
2012
Galois descent in Galois theories. Zbl 1316.12004
Bertrand, Daniel
2
2011
Théories de Galois différentielles et transcendance. Zbl 1226.12002
Bertrand, Daniel
2
2009
Rational points on compact subgroups of algebraic groups. Zbl 0859.11046
Bertrand, Daniel
2
1995
Transcendental methods in arithmetic geometry. Zbl 0706.11039
Bertrand, Daniel
2
1990
Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005
Bertrand, D. (ed.); Waldschmidt, M. (ed.)
2
1983
Valeurs de fonctions theta et hauteurs p-adiques. Zbl 0488.10031
Bertrand, Daniel
2
1982
Unlikely intersections in semiabelian surfaces. Zbl 1423.14254
Bertrand, Daniel; Schmidt, Harry
1
2019
Generalized Jacobians and Pellian polynomials. Zbl 1330.14046
Bertrand, Daniel
1
2015
Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. Zbl 1418.39007
Bertrand, D.
1
2012
Multiplicity estimates for \(q\)-difference operators. Zbl 1234.11091
Bertrand, Daniel
1
2007
Heights and degrees: a note on a paper of C. Liebendörfer and G. Rémond. Zbl 1188.11036
Bertrand, D.; Masser, D.
1
2006
Remarks on the intrinsic inverse problem. Zbl 1028.12004
Bertrand, Daniel
1
2002
Relative splitting of one-motives. Zbl 1043.11054
Bertrand, Daniel
1
1998
Heights and isogenies. Zbl 0729.14025
Bertrand, D.
1
1990
Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). Zbl 0607.14014
Bertrand, Daniel
1
1986
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
Propriétés arithmétiques de fonctions thêta à plusieurs variables. Zbl 0546.14029
Bertrand, Daniel
1
1984
Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033
Bertrand, Daniel; Laurent, Michel
1
1981
On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023
Bertrand, Daniel; Waldschmidt, Michel
1
1981
Transcendence properties of abelian integrals. Zbl 0452.10037
Bertrand, Daniel
1
1980
Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008
Bertrand, D. (ed.); Waldschmidt, M. (ed.)
1
1980
Fonctions abeliennes p-adiques. Définitions et conjectures. Zbl 0383.14016
Bertrand, Daniel
1
1978
Algebraic values of \(p\)-adic elliptic functions. Zbl 0365.10027
Bertrand, Daniel
1
1977
A transcendence criterion for meromorphic functions. Zbl 0365.10024
Bertrand, Daniel
1
1977
Unlikely intersections in semiabelian surfaces. Zbl 1423.14254
Bertrand, Daniel; Schmidt, Harry
1
2019
Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U.
12
2016
Galois theory, functional Lindemann-Weierstrass, and Manin maps. Zbl 06541997
Bertrand, Daniel; Pillay, Anand
2
2016
Generalized Jacobians and Pellian polynomials. Zbl 1330.14046
Bertrand, Daniel
1
2015
Unlikely intersections in Poincaré biextensions over elliptic schemes. Zbl 1304.11053
Bertrand, D.
6
2013
Self-dual blended extensions. Zbl 1272.18007
Bertrand, Daniel
3
2013
The theorem of Siegel-Shidlovsky revisited. Zbl 1282.11081
Bertrand, Daniel
2
2012
Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. Zbl 1418.39007
Bertrand, D.
1
2012
Galois descent in Galois theories. Zbl 1316.12004
Bertrand, Daniel
2
2011
A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields. Zbl 1276.12003
Bertrand, Daniel; Pillay, Anand
12
2010
Théories de Galois différentielles et transcendance. Zbl 1226.12002
Bertrand, Daniel
2
2009
Schanuel’s conjecture for non-isoconstant elliptic curves over function fields. Zbl 1215.14050
Bertrand, Daniel
8
2008
Multiplicity estimates for \(q\)-difference operators. Zbl 1234.11091
Bertrand, Daniel
1
2007
Heights and degrees: a note on a paper of C. Liebendörfer and G. Rémond. Zbl 1188.11036
Bertrand, D.; Masser, D.
1
2006
Effective estimates for global relations on Euler-type series. Zbl 1176.11036
Bertrand, Daniel; Chirskii, Vladimir; Yebbou, Johan
19
2004
On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020
Bertrand, D.; Zudilin, W.
6
2003
Remarks on the intrinsic inverse problem. Zbl 1028.12004
Bertrand, Daniel
1
2002
Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations. Zbl 1016.12007
Bertrand, D.
4
2001
Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013
Bertrand, D.; Zudilin, W.
3
2001
Relative splitting of one-motives. Zbl 1043.11054
Bertrand, Daniel
1
1998
Theta functions and transcendence. Zbl 0916.11043
Bertrand, Daniel
11
1997
Duality on tori and multiplicative dependence relations. Zbl 0886.11035
Bertrand, Daniel
9
1997
Minimal heights and polarizations on group varieties. Zbl 0847.11036
Bertrand, Daniel
16
1995
Rational points on compact subgroups of algebraic groups. Zbl 0859.11046
Bertrand, Daniel
2
1995
A differential analog of Kummer theory. Zbl 0785.12002
Bertrand, Daniel
6
1992
Algebraic groups and linear differential equations. Zbl 0813.12004
Bertrand, Daniel
5
1992
Extensions de \({\mathcal D}\)-modules et groupes de Galois differentiels. (Extensions of \({\mathcal D}\)-modules and differential Galois groups). Zbl 0732.13008
Bertrand, D.
5
1990
Transcendental methods in arithmetic geometry. Zbl 0706.11039
Bertrand, Daniel
2
1990
Heights and isogenies. Zbl 0729.14025
Bertrand, D.
1
1990
Algebraic subgroups of commutative algebraic groups. Zbl 0618.14020
Bertrand, Daniel; Philippon, Patrice
13
1988
Galois representations and transcendental numbers. Zbl 0679.10024
Bertrand, D.
5
1988
Nullstellensätze and transcendental numbers. Zbl 0613.14001
Bertrand, Daniel
4
1987
Galois orbits on abelian varieties and zero estimates. Zbl 0597.10032
Bertrand, Daniel
3
1986
Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). Zbl 0607.14014
Bertrand, Daniel
1
1986
Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016
Bertrand, Daniel; Beukers, Frits
10
1985
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
Propriétés arithmétiques de fonctions thêta à plusieurs variables. Zbl 0546.14029
Bertrand, Daniel
1
1984
Endomorphismes de groupes algébriques; applications arithmétiques. Zbl 0526.10029
Bertrand, D.
3
1983
Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005
Bertrand, D. (ed.); Waldschmidt, M. (ed.)
2
1983
Valeurs de fonctions theta et hauteurs p-adiques. Zbl 0488.10031
Bertrand, Daniel
2
1982
Kummer theory on the product of an elliptic curve by the multiplicative group. Zbl 0453.14019
Bertrand, D.
4
1981
Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033
Bertrand, Daniel; Laurent, Michel
1
1981
On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023
Bertrand, Daniel; Waldschmidt, Michel
1
1981
Linear forms in elliptic integrals. Zbl 0425.10041
Bertrand, Daniel; Masser, David
6
1980
Travaux récents sur les points singuliers des équations différentielles linéaires. Zbl 0445.12012
Bertrand, Daniel
4
1980
Linear forms on abelian varieties over local fields. Zbl 0432.10019
Bertrand, Daniel; Flicker, Yuval
4
1980
Transcendence properties of abelian integrals. Zbl 0452.10037
Bertrand, Daniel
1
1980
Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008
Bertrand, D. (ed.); Waldschmidt, M. (ed.)
1
1980
Sur les periodes de formes modulaires. Zbl 0407.10025
Bertrand, Daniel
3
1979
Fonctions modulaires, courbes de Tate et independance algébrique. Zbl 0396.10021
Bertrand, Daniel
3
1978
Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe. Zbl 0383.14015
Bertrand, Daniel
3
1978
Fonctions abeliennes p-adiques. Définitions et conjectures. Zbl 0383.14016
Bertrand, Daniel
1
1978
One-parametric \(p\)-adic subgroups of a group variety. Zbl 0358.10016
Bertrand, Daniel
11
1977
Algebraic values of \(p\)-adic elliptic functions. Zbl 0365.10027
Bertrand, Daniel
1
1977
A transcendence criterion for meromorphic functions. Zbl 0365.10024
Bertrand, Daniel
1
1977
Séries d’Eisenstein et transcendance. Zbl 0341.10031
Bertrand, Daniel
5
1976
Problèmes arithmétiques lies à l’exponentielle p-adique sur les courbes elliptiques. Zbl 0331.14014
Bertrand, Daniel
3
1976
Un théorème de Schneider-Lang sur certains domaines non simplement connexes. Zbl 0318.10024
Bertrand, Daniel
3
1975
all top 5

Cited by 177 Authors

19 Bertrand, Daniel
13 Chirskiĭ, Vladimir Grigor’evich
6 Pillay, Anand
6 Waldschmidt, Michel
6 Zannier, Umberto M.
5 Masser, David William
5 Philippon, Patrice
4 David, Sinnou
4 Gaudron, Éric
4 Pila, Jonathan
3 Bertolin, Cristiana
3 Bosser, Vincent
3 Gao, Ziyang
3 Matala-aho, Tapani
3 Schmidt, Harry
3 Weil, Jacques-Arthur
2 Benoist, Franck
2 Bouscaren, Elisabeth
2 Brown, Martin L.
2 Buium, Alexandru
2 Diaz, Guy
2 Dreyfus, Thomas
2 Duverney, Daniel
2 Fischler, Stéphane
2 Flicker, Yuval Z.
2 Gramain, Francois
2 Hirata-Kohno, Noriko
2 Kowalski, Piotr
2 León Sánchez, Omar
2 Matveev, Vladimir Yur’evich
2 Perrin-Riou, Bernadette
2 Ratazzi, Nicolas
2 Rémond, Gaël
2 Rivoal, Tanguy
2 Rubin, Karl Cooper
2 Seppälä, Louna
2 Singer, Michael F.
2 Tachiya, Yohei
2 Vaaler, Jeffrey D.
1 Adamczewski, Boris
1 Agboola, Adebisi
1 Akhtari, Shabnam
1 Anderson, Michael
1 André, Yves
1 Andreatta, Fabrizio
1 Aparicio-Monforte, Ainhoa
1 Azamatov, T. R.
1 Bailey, David Harold
1 Ballaÿ, François
1 Barkatou, Moulay A.
1 Barroero, Fabrizio
1 Bays, Martin
1 Bell, Jason P.
1 Berman, Peter
1 Bertapelle, Alessandra
1 Beukers, Frits
1 Bilu, Yuri F.
1 Binyamini, Gal
1 Bolibrukh, Andreĭ Andreevich
1 Bombieri, Enrico
1 Borek, Thomas
1 Borger, James M.
1 Borot, Gaëtan
1 Borwein, Jonathan Michael
1 Bost, Jean-Benoît
1 Bostan, Alin
1 Bousquet-Mélou, Mireille
1 Boussel, Katy
1 Brosnan, Patrick
1 Cassaigne, Julien
1 Chambert-Loir, Antoine
1 Checcoli, Sara
1 Chen, Gongliang
1 Christol, Gilles
1 Cluzeau, Thomas
1 Compoint, Elie
1 Corvaja, Pietro
1 Crandall, Richard E.
1 Delaunay, Sandra
1 Di Vizio, Lucia
1 Diamond, Jack
1 Dubickas, Artūras
1 Duval, Guillaume
1 Edixhoven, Bas
1 Elsner, Carsten
1 Emsalem, Michel
1 Ernvall-Hytönen, Anne-Maria
1 Eynard, Bertrand
1 Feng, Ruyong
1 Fuchs, Clemens
1 Gavrilovich, Misha
1 Gorelov, Vasiliĭ Aleksandrovich
1 Greenberg, Ralph
1 Grushevsky, Samuel
1 Gun, Sanoli
1 Hardouin, Charlotte
1 Hart, Bradd T.
1 Hendriks, Peter A.
1 Hindry, Marc
1 Howard, Benjamin
...and 77 more Authors
all top 5

Cited in 80 Serials

13 Journal of Number Theory
8 Journal de Théorie des Nombres de Bordeaux
7 Annales de l’Institut Fourier
7 Inventiones Mathematicae
6 Compositio Mathematica
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Bulletin de la Société Mathématique de France
5 Duke Mathematical Journal
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Journal of Mathematical Sciences (New York)
5 Chebyshevskiĭ Sbornik
4 Transactions of the American Mathematical Society
4 Journal of Symbolic Computation
3 Israel Journal of Mathematics
3 Advances in Mathematics
3 Journal of Algebra
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Notre Dame Journal of Formal Logic
3 Experimental Mathematics
3 Russian Journal of Mathematical Physics
3 Annals of Mathematics. Second Series
3 Journal of the Institute of Mathematics of Jussieu
2 Mathematical Notes
2 Moscow University Mathematics Bulletin
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Annals of Pure and Applied Logic
2 Indagationes Mathematicae. New Series
2 Selecta Mathematica. New Series
2 Doklady Mathematics
2 The Ramanujan Journal
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Mathematical Analysis and Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematica Scandinavica
1 Mathematika
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Advances in Applied Mathematics
1 \(K\)-Theory
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Discrete Mathematics and Applications
1 Geometric and Functional Analysis. GAFA
1 Glasnik Matematički. Serija III
1 Expositiones Mathematicae
1 Applicable Algebra in Engineering, Communication and Computing
1 The Bulletin of Symbolic Logic
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Journal of Mathematical Logic
1 Algebraic & Geometric Topology
1 Journal of the Australian Mathematical Society
1 International Journal of Number Theory
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Complex Analysis and Operator Theory
1 Algebra & Number Theory
1 Journal of \(K\)-Theory
1 Quantum Topology
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Kyoto Journal of Mathematics
1 Forum of Mathematics, Sigma
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year

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