Geodesic
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

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

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

DOI : 10.5802/aif.2504
Classification : 11G07, 35G20, 11F03
Keywords: Differential equations, elliptic curves, $p$-adic numbers, modular forms
Mots-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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     title = {Arithmetic differential equations in several variables},
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     pages = {2685--2708},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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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

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