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Waldschmidt, Michel. Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques. Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 176-224. doi: 10.4153/CJM-1993-010-1
@article{10_4153_CJM_1993_010_1,
author = {Waldschmidt, Michel},
title = {Minorations de {Combinaisons} {Lin\'eaires} de {Logarithmes} de {Nombres} {Alg\'ebriques}},
journal = {Canadian journal of mathematics},
pages = {176--224},
year = {1993},
volume = {45},
number = {1},
doi = {10.4153/CJM-1993-010-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1993-010-1/}
}
TY - JOUR AU - Waldschmidt, Michel TI - Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques JO - Canadian journal of mathematics PY - 1993 SP - 176 EP - 224 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1993-010-1/ DO - 10.4153/CJM-1993-010-1 ID - 10_4153_CJM_1993_010_1 ER -
%0 Journal Article %A Waldschmidt, Michel %T Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques %J Canadian journal of mathematics %D 1993 %P 176-224 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1993-010-1/ %R 10.4153/CJM-1993-010-1 %F 10_4153_CJM_1993_010_1
[B] Baker, A., The theory of linear forms in logarithms, Chap.l de : Transcendence Theory, Advances and Applications, (ed. A. Baker and D.W.Masser), Academic Press (1977), 1–27. Google Scholar
[BGMMS] Blass, J., Glass, A.M., Manski, D.K., Meronk, D.B. and Steiner, R.P., Constants for lower bounds for linear forms in the logarithms of algebraic numbers, Acta Arith. 55(1990), 1-22, Problèmes Diophantiens 1987-1988, Publ. Univ. P. et M. Curie, Paris VI, (2) 88, 31p. Google Scholar
[G] Gel, A.O.'fond, Transcendental and algebraic numbers, Moscou, 1952, Dover, New York, 1960. Google Scholar
[LMPW] Loxton, J.H., Mignotte, M., van der Poorten, A.J. and Waldschmidt, M., A lower bound for linear forms in the logarithms of algebraic numbers, C.R. Acad. Sci. Canada 11(1987), 119–124. Google Scholar
[Ma] Masser, D.W., On polynomials and exponential polynomials in several variables, Invent. Math. 63(1981), 81–95. Google Scholar
[MW1] Mignotte, M. and Waldschmidt, M., Linear forms in two logarithms and Schneider's method, Math. Ann. 231(1978), 241–267. Google Scholar
[MW2] Mignotte, M. and Waldschmidt, M., Linear forms in two logarithms and Schneider's method, II, Acta Arith. 53(1989), 251–287. Google Scholar
[MW3] Mignotte, M. and Waldschmidt, M., Linear forms in two logarithms and Schneider's method, III, Ann. Fac. Sci. Toulouse 97(1989), 43–75. Google Scholar
[P] Philippon, P., Lemme de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France 114(1986), 355-383, et 115(1987), 397–398. Google Scholar
[PW1] Philippon, P. et Waldschmidt, M., Formes linéaires de logarithmes sur les groupes algébriques commutatifs, Illinois J. Math. 32(1988), 281–314. Google Scholar
[PW2] Philippon, et Waldschmidt, M., Lower bounds for linear forms in logarithms. In: Chap. 18 de New Advances in Transcendence Theory, (ed. Baker, A.), Cambridge Univ. Press (1988), 280–312. Google Scholar
[DPP] Ping, Dong Ping, Minorations de combinaisons linéaires de logarithmes de nombres algébriques padiques, manuscrit, 1991. Google Scholar
[S] Schneider, Th., Transzendenzuntersuchungen periodischer Funktionen. I. Transzendenzvon Potenzen, J. reine angew. Math. 172(1934), 65–69. Google Scholar
[Wl] Waldschmidt, M., A lower bound for linear forms in logarithms, Acta Arith. 37(1980), 257–283. Google Scholar
[W2] Waldschmidt, M., Transcendance et exponentielles en plusieurs variables, Invent. Math. 63(1981), 97–127. Google Scholar
[W3] Waldschmidt, M., Fonctions auxiliaires et fonctionnelles analytiques, J. Analyse Math. 56(1991), 231–279. Google Scholar
[W4] Waldschmidt, M., Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques, Sém. Th. Nombres Bordeaux 3(1991), 129–185. Google Scholar
[W5] Waldschmidt, M., Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques (II), Problèmes Diophantiens 1989-1990, Publ. Univ. P. et M. Curie, Paris VI, (2) 93(1991), 36p. Google Scholar
[Wü] Wûstholz, G., A new approach to Baker's theorem on linear forms in logarithms (III), In: Chap. 25 de New Advances in Transcendence Theory, (ed. A. Baker), Cambridge Univ. Press, (1988) 399–410. Google Scholar
[Y] Kunrui, Yu, Linear forms in p-adic logarithms, Acta Arith. 53(1989), 107–186. Google Scholar
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