In this paper, we use Baker’s method, based on linear forms of logarithms, to solve a family of Thue equations associated with a family of number fields of degree 3. We obtain all solutions to the Thue equation
Dans cet article, nous utilisons la méthode de Baker, basée sur les formes linéaires en logarithmes, pour résoudre une famille d’équations de Thue liée à une famille de corps de nombres de degré 3. Nous obtenons toutes les solutions de l’équation de Thue
@article{JTNB_2006__18_1_285_0, author = {Togb\'e, Alain}, title = {Complete solutions of a family of cubic {Thue} equations}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {285--298}, publisher = {Universit\'e Bordeaux 1}, volume = {18}, number = {1}, year = {2006}, doi = {10.5802/jtnb.544}, zbl = {05070458}, mrnumber = {2245886}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jtnb.544/} }
TY - JOUR AU - Togbé, Alain TI - Complete solutions of a family of cubic Thue equations JO - Journal de théorie des nombres de Bordeaux PY - 2006 SP - 285 EP - 298 VL - 18 IS - 1 PB - Université Bordeaux 1 UR - http://archive.numdam.org/articles/10.5802/jtnb.544/ DO - 10.5802/jtnb.544 LA - en ID - JTNB_2006__18_1_285_0 ER -
%0 Journal Article %A Togbé, Alain %T Complete solutions of a family of cubic Thue equations %J Journal de théorie des nombres de Bordeaux %D 2006 %P 285-298 %V 18 %N 1 %I Université Bordeaux 1 %U http://archive.numdam.org/articles/10.5802/jtnb.544/ %R 10.5802/jtnb.544 %G en %F JTNB_2006__18_1_285_0
Togbé, Alain. Complete solutions of a family of cubic Thue equations. Journal de théorie des nombres de Bordeaux, Volume 18 (2006) no. 1, pp. 285-298. doi : 10.5802/jtnb.544. http://archive.numdam.org/articles/10.5802/jtnb.544/
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