no. 2
S-integral points on elliptic curves - Notes on a paper of B. M. M. de Weger
Journal de théorie des nombres de Bordeaux, Tome 13 (2001) no. 2, pp. 443-451.

Nous donnons une nouvelle preuve beaucoup plus courte d’un résultat de B. M. M de Weger. Cette preuve est basée sur la théorie des formes linéaires de logarithmes complexes, p-adiques et elliptiques, pour lesquelles nous obtenons une majoration en confrontant les résultats de Hajdu et Herendi à ceux de Rémond et Urfels.

In this paper we give a much shorter proof for a result of B.M.M de Weger. For this purpose we use the theory of linear forms in complex and p-adic elliptic logarithms. To obtain an upper bound for these linear forms we compare the results of Hajdu and Herendi and Rémond and Urfels.

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     author = {Herrmann, Emanuel and Peth\"o, Attila},
     title = {$S$-integral points on elliptic curves - {Notes} on a paper of {B.} {M.} {M.} de {Weger}},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
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     publisher = {Universit\'e Bordeaux I},
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     number = {2},
     year = {2001},
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Herrmann, Emanuel; Pethö, Attila. $S$-integral points on elliptic curves - Notes on a paper of B. M. M. de Weger. Journal de théorie des nombres de Bordeaux, Tome 13 (2001) no. 2, pp. 443-451. http://archive.numdam.org/item/JTNB_2001__13_2_443_0/

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