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, -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 -adic elliptic logarithms. To obtain an upper bound for these linear forms we compare the results of Hajdu and Herendi and Rémond and Urfels.
@article{JTNB_2001__13_2_443_0, 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}, pages = {443--451}, publisher = {Universit\'e Bordeaux I}, volume = {13}, number = {2}, year = {2001}, mrnumber = {1881378}, zbl = {1065.11014}, language = {en}, url = {http://www.numdam.org/item/JTNB_2001__13_2_443_0/} }
TY - JOUR AU - Herrmann, Emanuel AU - Pethö, Attila TI - $S$-integral points on elliptic curves - Notes on a paper of B. M. M. de Weger JO - Journal de théorie des nombres de Bordeaux PY - 2001 SP - 443 EP - 451 VL - 13 IS - 2 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_2001__13_2_443_0/ LA - en ID - JTNB_2001__13_2_443_0 ER -
%0 Journal Article %A Herrmann, Emanuel %A Pethö, Attila %T $S$-integral points on elliptic curves - Notes on a paper of B. M. M. de Weger %J Journal de théorie des nombres de Bordeaux %D 2001 %P 443-451 %V 13 %N 2 %I Université Bordeaux I %U http://www.numdam.org/item/JTNB_2001__13_2_443_0/ %G en %F JTNB_2001__13_2_443_0
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://www.numdam.org/item/JTNB_2001__13_2_443_0/
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