Arithmetic differential equations in several variables

Buium, Alexandru; Simanca, Santiago R.

doi:10.5802/aif.2504

Arithmetic differential equations in several variables
[Équations différentielles arithmétiques à plusieurs variables]

Buium, Alexandru ¹ ; 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.

Résumé
Abstract

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.

MR Zbl

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

Affiliations des auteurs :

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},
     journal = {Annales de l'Institut Fourier},
     pages = {2685--2708},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {59},
     number = {7},
     year = {2009},
     doi = {10.5802/aif.2504},
     zbl = {1198.12003},
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     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.2504/}
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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. http://www.numdam.org/articles/10.5802/aif.2504/

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