We give a survey of methods used to connect the study of ternary diophantine equations to modern techniques coming from the theory of modular forms.
Nous décrivons un panorama des méthodes reliant l'étude des équations diophantiennes ternaires aux techniques modernes issues de la théorie des formes modulaires.
@article{JTNB_1999__11_1_173_0, author = {Merel, Lo{\"\i}c}, title = {Arithmetic of elliptic curves and diophantine equations}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {173--200}, publisher = {Universit\'e Bordeaux I}, volume = {11}, number = {1}, year = {1999}, mrnumber = {1730439}, zbl = {0964.11028}, language = {en}, url = {http://www.numdam.org/item/JTNB_1999__11_1_173_0/} }
TY - JOUR AU - Merel, Loïc TI - Arithmetic of elliptic curves and diophantine equations JO - Journal de théorie des nombres de Bordeaux PY - 1999 SP - 173 EP - 200 VL - 11 IS - 1 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_1999__11_1_173_0/ LA - en ID - JTNB_1999__11_1_173_0 ER -
Merel, Loïc. Arithmetic of elliptic curves and diophantine equations. Journal de théorie des nombres de Bordeaux, Volume 11 (1999) no. 1, pp. 173-200. http://www.numdam.org/item/JTNB_1999__11_1_173_0/
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