On a mixed Littlewood conjecture for quadratic numbers
Bernard de Mathan1
1 Université Bordeaux I UFR Math-Info. Laboratoire A2X 351 cours de la Libération 33405 Talence, France
Journal de Théorie des Nombres de Bordeaux, Volume 17 (2005) no. 1, pp. 207-215.

We study a simultaneous diophantine problem related to Littlewood’s conjecture. Using known estimates for linear forms in p-adic logarithms, we prove that a previous result, concerning the particular case of quadratic numbers, is close to be the best possible.

Nous étudions un problème diophantien simultané relié à la conjecture de Littlewood. En utilisant des minorations connues de formes linéaires de logarithmes p-adiques, nous montrons qu’un résultat que nous avons précédemment obtenu, concernant les nombres quadratiques, est presque optimal.

Published online:
DOI: 10.5802/jtnb.487
Bernard de Mathan 1

1 Université Bordeaux I UFR Math-Info. Laboratoire A2X 351 cours de la Libération 33405 Talence, France 
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Bernard de Mathan. On a mixed Littlewood conjecture for quadratic numbers. Journal de Théorie des Nombres de Bordeaux, Volume 17 (2005) no. 1, pp. 207-215. doi : 10.5802/jtnb.487. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.487/

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