@incollection{SB_1991-1992__34__183_0,
author = {Bertrand, Daniel},
title = {Groupes alg\'ebriques et \'equations diff\'erentielles lin\'eaires},
booktitle = {S\'eminaire Bourbaki : volume 1991/92, expos\'es 745-759},
series = {Ast\'erisque},
note = {talk:750},
pages = {183--204},
year = {1992},
publisher = {Soci\'et\'e math\'ematique de France},
number = {206},
mrnumber = {1206068},
zbl = {0813.12004},
language = {fr},
url = {https://www.numdam.org/item/SB_1991-1992__34__183_0/}
}
TY - CHAP AU - Bertrand, Daniel TI - Groupes algébriques et équations différentielles linéaires BT - Séminaire Bourbaki : volume 1991/92, exposés 745-759 AU - Collectif T3 - Astérisque N1 - talk:750 PY - 1992 SP - 183 EP - 204 IS - 206 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1991-1992__34__183_0/ LA - fr ID - SB_1991-1992__34__183_0 ER -
%0 Book Section %A Bertrand, Daniel %T Groupes algébriques et équations différentielles linéaires %B Séminaire Bourbaki : volume 1991/92, exposés 745-759 %A Collectif %S Astérisque %Z talk:750 %D 1992 %P 183-204 %N 206 %I Société mathématique de France %U https://www.numdam.org/item/SB_1991-1992__34__183_0/ %G fr %F SB_1991-1992__34__183_0
Bertrand, Daniel. Groupes algébriques et équations différentielles linéaires, dans Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Exposé no. 750, 22 p.. https://www.numdam.org/item/SB_1991-1992__34__183_0/
[An1] - G-functions and geometry, Vieweg, Asp. Math 13, 1989. | Zbl | MR
[An2] - Notes sur la théorie de Galois différentielle, Prépubl. IHES (1989).
[AS] and - A theorem on holonomy, Trans. AMS 75 (1953), 428-443 | Zbl | MR
(voir aussi : , Astérisque 126 (1985), 169- 183. | MR | Numdam
[BV1] and - Formal reduction of meromorphic D.E. : a group theoretic view, Pacific J. Math. 108 (1983), 1-80. | Zbl | MR
[BV2] and - Local moduli for meromorphic D.E., Astérisque 169-170 (1989). | Zbl | MR | Numdam
[BD] and - On second order D.E. with algebraic solutions, Amer. J. Math. 101 (1979), 42-76. | Zbl | MR
BBRS] , , and - Multisummability of formal power series solutions of L.O.D.E., Asympt. Anal. 5 (1991), 27-45. | Zbl | MR
[Be] - Differential Galois theory, Théorie des Nombres et Physique, Springer, à paraître. | Zbl | MR
[BBH] , and - Siegel normality, Ann. Maths 127 (1988), 279-308. | Zbl | MR
[BH] and - Monodromy for the hypergeometric function nFn-1, Inv. Math. 95 (1989), 325-354. | Zbl | MR
[BR] et - Rational solutions of L.D.E., J. Austr. Math. Soc. 46 (1989), 184-196. | Zbl | MR
[Bl] - Groupes algébriques et équations différentielles linéaires [d'après E. Kolchin], Sém. Bourbaki n° 17 (1949/50).
[Bo] - Groupes de Galois des équations hypergéométriques...., CRAS Paris 309 (1989), 587-589. | Zbl | MR
[Ch] - On Lamé operators which are pull-backs of hypergeometric ones, Prépubl. U. Padova (1991).
[CC] and - Application of Padé approximations to the Grothendieck conjecture on L.D.E., Springer L. N. 1135 (1984), 52-100. | Zbl
[De] - Catégories tannakiennes, Birkhaüser Prog. Math., Grothendieck Festschrift II (1990), 111-195. | Zbl | MR
[DM] et - Matrices de Stokes et groupes de Galois des équations hypergéométriques..., Pacific J. Math. 138 (1989), 25-56. | Zbl | MR
[Dw] - Hypergeometric functions, Oxford U.P. (1990). | Zbl
[Ho] - Algebraic differential equations, Symp. Math. 24 (1981), 169- 204. | Zbl | MR
[IK] and - Galois groups, Stokes multipliers and a theorem of Ramis, Funct. Anal. and Appl. 24 (1990), 286-296. | Zbl | MR
[Ju] - Meromorphe Differentialgleichungen, Springer L.N. 637 (1978). | Zbl | MR
[Kap] - An introduction to differential algebra, Hermann (1957). | Zbl | MR
[Ka1] - Algebraic solutions of differential equations ; p-curvature and the Hodge filtration, Inv. Math. 18 (1972), 1-118. | Zbl | MR
[Ka2] - A conjecture in the arithmetic theory of differential equations, Bull. Soc. Math. France 110 (1982), 203-239 et 347-348. | Zbl | MR | Numdam
[Ka3] - On the calculation of some differential Galois groups, Inv. Math. 87 (1987), 13-61. | Zbl | MR
[Ka4] - Exponential sums and differential equations, Princeton U. Press (1990). | Zbl | MR
[Ko1] - Differential algebra and algebraic groups, Acad. Press, 1973. | Zbl | MR
[Ko2] - Algebraic groups and algebraic dependence, Amer. J. Math. 90 (1968), 1151-1164. | Zbl | MR
[La] - Eine Anwendung des Eisensteinsches Satz auf die Theorie der Gaussche Differentialgleichung, Crelle 127 (1904), 92-102. | JFM
[Le] - Differential Galois theory and tensor products, Indag. Math. 1 (1990), 439-449. | Zbl | MR
[LR] - Classification méromorphe locale des S.D.L.... : phénomène de Stokes et applications, Thèse, U. Orsay (1991).
[Ma1] - La classification des connexions irrégulières à une variable, Birkhäuser Prog. Math. 37 (1983), 381-399. | Zbl | MR
[Ma2] - Équations différentielles à coefficients polynômiaux, Birkhäuser Prog. Math. 96 (1991). | Zbl | MR
[M-R] et - Fonctions multisommables, Ann. Inst. Fourier 42 (1992). | Zbl | MR | Numdam
[MR1] et - Théorie de Galois différentielle et resommation, Computer Algebra and Differential Equations, E. Tournier (ed.), Acad. Press (1989). | Zbl | MR
[MR2] et - Elementary acceleration and multisummability, Ann. I.H.P., Phys. Th. 54 (1991), 331-401. | Zbl | MR | Numdam
[Mi] - Groupes de Galois différentiels et G-fonctions, Computer Algebra and Diff. Eqs., M. Singer (ed.), Acad. Press (1991).
[Ne] - On the algebraic independence of the components of a solution of a S.D.E., Math. URSS Izvestia 38 (1974), 492-512.
[Po] - Differential Galois Theory, Gordon & Breach (1982). | Zbl | MR
[Ra1] - Théorèmes d'indice Gevrey pour les E.D.O., Mem. AMS 296 (1984). | Zbl
[Ra2] - Filtration Gevrey sur le groupe de Picard-Vessiot d'une E.D. irrégulière, Prépubl. IMPA 45 (1985), 1-38.
[RS] and - Hukuhara's domains and fundamental existence and uniqueness theorems for asymptotic solutions of Gevrey type, Asymp. Anal. 2 (1989), 39-94. | Zbl | MR
[Sa] - Connexions méromorphes formelles de deux variables, Prépubl. Éc. Polytechnique (1991).
[Sc] - Ueber diejenige Fälle in welchen die Gaussche hypergeometrische Reihe einer algebraische Funktion ihres 4. en Elementes darstellt, Crelle 75 (1873), 292-335. | JFM
[Se] - Quelques applications du théorème de densité de Chebotarev, Publ. Math. IHES 54 (1981), 123-201. | Zbl | MR | Numdam
[Si] - L.D.E. in the complex domain : problems of analytic continuation, Transl. AMS, vol. 82 (1991).
[Sn1] - Algebraic relations among solutions of L.D.E. : Fano's theorem, Amer. J. Math. 110 (1988), 115-144. | Zbl | MR
[Sn2] - An outline of differential Galois theory, Computer Algebra and Differential Equations, E. Tournier (ed.), Acad. Press (1989). | Zbl | MR
[Sn3] - Moduli of L.D.E. on the Riemann sphere with fixed Galois group, Prépubl. N.C.S.U. (1991).
[St] - Early letters to Lady Stokes, Cambridge U.P. (1907) ;
cité par : Séries divergentes et théories asymptotiques, Journées X-UPS, 1991 (à paraître). | Zbl
[Um] - Second proof of the irreducibility of the first D.E. of Painlevé, Nagoya Math. J. 113 (1990). | Zbl | MR
[Va] - Meromorphic differential equations, Expos. Math. 9 (1991), 97-188. | Zbl | MR







