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Quelques remarques sur des questions d'approximation diophantienne

Published online by Cambridge University Press:  17 April 2009

Patrice Philippon
Patrice Philippon
Affiliation:
UMR 9994 du CNRS-Problèmes Diophantiens, Université P. & M. Curie, T46-56, 5ème ét., F-75252 Paris Cedex 05, France
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Abstract

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Hoping for a hand-shake between methods from diophantine approximation theory and transcendance theory, we show how zeros estimates from transcendance theory imply Roth's type lemmas (including the product theorem). We also formulate some strong conjectures on lower bounds for linear forms in logarithms of rational numbers with rational coefficients, inspired by the subspace theorem and which would imply, for example, the abc conjecture.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 323 - 334
Copyright
Copyright © Australian Mathematical Society 1999

References

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