Arithmetic differential equations in several variables

Buium, Alexandru; Simanca, Santiago R.

Annales de l'Institut Fourier, Tome 59 (2009) no. 7, pp. 2685-2708

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.

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

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