Arithmetic of elliptic curves and diophantine equations
Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 1, p. 173-200
Nous décrivons un panorama des méthodes reliant l'étude des équations diophantiennes ternaires aux techniques modernes issues de la théorie des formes modulaires.
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.
@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},
     publisher = {Universit\'e Bordeaux I},
     volume = {11},
     number = {1},
     year = {1999},
     pages = {173-200},
     zbl = {0964.11028},
     mrnumber = {1730439},
     language = {en},
     url = {http://http://www.numdam.org/item/JTNB_1999__11_1_173_0}
}
Merel, Loïc. Arithmetic of elliptic curves and diophantine equations. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 1, pp. 173-200. http://www.numdam.org/item/JTNB_1999__11_1_173_0/

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