Reduction modulo p of differential equations

Indagationes Mathematicae

Volumn 7, Issue 3, 1996, Pages 367-387

  Van Der Put, Marius ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030607090     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/0019-3577(96)83726-8     Document Type: Article

References (12)

1. [A1] André, Y. - Quatre descriptions des groupes de Galois différentielles. Séminaire d'algèbre de Paris 86/87, Lect. Notes in Math. 1296 (1987).
2. [A2] André, Y. - Notes sur la théorie de Galois différentielle. IHES/M/89/49. Preprint (1989).
3. [BD] Baldassarri, F. and B. Dwork - Differential equations with algebraic solutions. Amer. J. Math. 101 (1), 42-76 (1979).
4. [Ho] Hoeppner, S. - Lineare Differentialgleichungen zweiter Ordnung in positive Charakteristik. Inst. f. Exper. Math. Essen. Preprint (1995).
5. [HP] Hendriks, P.A. and M. van der Put - Galois actions on the solutions of a differential equation. To appear in Journal of Symbolic Computation.
6. [J] Jaeger, A. - Gewöhnliche Differentialgleichungen in Körpern von Primzahlcharakteristik, Monatsheft für Math. 56 (1952).
7. [K1] Katz, N. - A conjecture in the arithmetic theory of differential equations. Bull. Soc. Math. France 110, 203-239 (1982).
8. [K2] Katz, N. - On the calculations of some differential Galois groups. Invent. Math. 87, 13-61 (1987).
9. [Ko] Kovacic, J. - An algorithm for solving second order linear homogeneous differential equations. J. of Symbolic Computation, 3-43 (1986).
10. [Ks] Kasch, F. - Über die Riccatische Differentialgleichung in Körper der Charakteristik p. Arch. der Math. 4, 17-22 (1953).
11. [L] Levelt, A.H.M. - Lectures on symbolic integration. University of Nijmegen (1992).
12. [P] Put, M. van der - Differential equations in characteristic p. To appear in Compositio Math. (1995).