Arithmetic differential equations in several variables

Alexandru Buium[1]; Santiago R. Simanca[1]

  • [1] University of New Mexico Department of Mathematics and Statistics Albuquerque, NM 87131 (USA)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 7, page 2685-2708
  • ISSN: 0373-0956

Abstract

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

How to cite

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Buium, Alexandru, and Simanca, Santiago R.. "Arithmetic differential equations in several variables." Annales de l’institut Fourier 59.7 (2009): 2685-2708. <http://eudml.org/doc/10468>.

@article{Buium2009,
abstract = {We survey recent work on arithmetic analogues of ordinary and partial differential equations.},
affiliation = {University of New Mexico Department of Mathematics and Statistics Albuquerque, NM 87131 (USA); University of New Mexico Department of Mathematics and Statistics Albuquerque, NM 87131 (USA)},
author = {Buium, Alexandru, Simanca, Santiago R.},
journal = {Annales de l’institut Fourier},
keywords = {Differential equations; elliptic curves; $p$-adic numbers; modular forms; arithmetic differential equations; p-adic numbers},
language = {eng},
number = {7},
pages = {2685-2708},
publisher = {Association des Annales de l’institut Fourier},
title = {Arithmetic differential equations in several variables},
url = {http://eudml.org/doc/10468},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Buium, Alexandru
AU - Simanca, Santiago R.
TI - Arithmetic differential equations in several variables
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 7
SP - 2685
EP - 2708
AB - We survey recent work on arithmetic analogues of ordinary and partial differential equations.
LA - eng
KW - Differential equations; elliptic curves; $p$-adic numbers; modular forms; arithmetic differential equations; p-adic numbers
UR - http://eudml.org/doc/10468
ER -

References

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