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.

Abstract (VO)

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

Résumé

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

Détail

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

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