no. 7
Arithmetic differential equations in several variables
[Équations différentielles arithmétiques à plusieurs variables]
Buium, Alexandru1 ; Simanca, Santiago R.1
1 University of New Mexico Department of Mathematics and Statistics Albuquerque, NM 87131 (USA)
Annales de l'Institut Fourier, Tome 59 (2009) no. 7, pp. 2685-2708.

On présente des résultats récents sur les analogues arithmétiques des équations différentielles ordinaires et aux dérivées partielles.

We survey recent work on arithmetic analogues of ordinary and partial differential equations.

DOI : 10.5802/aif.2504
Classification : 11G07, 35G20, 11F03
Keywords: Differential equations, elliptic curves, $p$-adic numbers, modular forms
Mot clés : équations différentielles, courbes elliptiques, nombres $p$-adiques, formes modulaires

Buium, Alexandru 1 ; Simanca, Santiago R. 1

1 University of New Mexico Department of Mathematics and Statistics Albuquerque, NM 87131 (USA) 
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Buium, Alexandru; Simanca, Santiago R. Arithmetic differential equations in several variables. Annales de l'Institut Fourier, Tome 59 (2009) no. 7, pp. 2685-2708. doi : 10.5802/aif.2504. https://aif.centre-mersenne.org/articles/10.5802/aif.2504/

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