[A lemma of zeros]
We give a lemma of zeros, applicable to the linears forms of logarithms, that refine for the constants, the statement 11.3 of [4].
On donne un lemme de zéros applicable aux formes linéaires de logarithmes qui raffine au niveau des constantes l'énoncé 11.3 de [4].
Accepted:
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Nicolas Gouillon 1
@article{CRMATH_2002__335_2_167_0, author = {Nicolas Gouillon}, title = {Un lemme de z\'eros}, journal = {Comptes Rendus. Math\'ematique}, pages = {167--170}, publisher = {Elsevier}, volume = {335}, number = {2}, year = {2002}, doi = {10.1016/S1631-073X(02)02422-6}, language = {fr}, }
Nicolas Gouillon. Un lemme de zéros. Comptes Rendus. Mathématique, Volume 335 (2002) no. 2, pp. 167-170. doi : 10.1016/S1631-073X(02)02422-6. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02422-6/
[1] On polynomials and exponential polynomial in several complex variables, Invent. Math., Volume 63 (1981) no. 1, pp. 91-95
[2] Lemmes de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France, Volume 114 (1986) no. 3, pp. 355-383
[3] Diophantine Approximation on Linear Algebraic Groups, Springer-Verlag, 1999
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