caa a22 4500 388092440 CHVBK 20180307125255.0 cr unu---uuuuu 161130e199904 xx s 000 0 eng 10.1017/S0004972700032937 doi S0004972700032937 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700032937 Philippon Patrice UMR 9994 du CNRS-Problèmes Diophantiens, Université P. & M. Curie, T46-56, 5ème ét., F-75252 Paris Cedex 05, France Quelques remarques sur des questions d'approximation diophantienne [Elektronische Daten] [Patrice Philippon] 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. Copyright © Australian Mathematical Society 1999 Bulletin of the Australian Mathematical Society Cambridge University Press 59/2(1999-04), 323-334 0004-9727 59:2<323 1999 59 BAZ https://doi.org/10.1017/S0004972700032937 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700032937 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Philippon Patrice UMR 9994 du CNRS-Problèmes Diophantiens, Université P. & M. Curie, T46-56, 5ème ét., F-75252 Paris Cedex 05, France NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/2(1999-04), 323-334 0004-9727 59:2<323 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge