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Approximation simultanee de valeurs de la fonction exponentielle. (French) Zbl 0345.10022

MSC:
11J81 Transcendence (general theory)
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References:
[1] A. Baker : A sharpening of the bounds for linear forms in logarithms; I . Acta Arith. 21 (1972) 117-129; II , Acta Arith. 24 (1973) 33-36; III . Acta Arith. (à paraître). · Zbl 0261.10025 · eudml:205210
[2] P.L. Cijsouw : Transcendence measures , Academisch Proefschrift. Amsterdam, 1972; 107 p. · Zbl 0252.10031
[3] P.L. Cusouw : Transcendence measures of exponentials and logarithms of algebraic numbers ; Compositio Math. 28 (1974) 163-178. · Zbl 0284.10013 · numdam:CM_1974__28_2_163_0 · eudml:89206
[4] K. Mahler : On a class of entire functions . Acta Math. Acad. Sci. Hungar. 18 (1967) 83-96. · Zbl 0207.35602 · doi:10.1007/BF02020964
[5] M. Mignotte et M. Waldschmidt : Approximation des valeurs de fonctions transcendantes . Proc. Nederl. Akad. Wetensch., Ser. A 78 (1975) 213-223. (= Indag. Math., 37, fasc. 3). · Zbl 0305.10027
[6] Th. Schneider : Introduction aux nombres transcendants . Springer, Berlin, 1957, et Gauthier-Villars, Paris, 1959. · Zbl 0098.26304
[7] T.N. Shorey : On the sum \Sigma 3k=1 |2\pi k - \alpha k|, \alpha k algebraic numbers . J. Number Theory 6 (1974) 248-260. · Zbl 0287.10020 · doi:10.1016/0022-314X(74)90018-3
[8] H.M. Stark : Further advances in the theory of linear forms in logarithms, Diophantine approximation and its applications (edited by Charles F. Osgood). Academic Press, 1973, 255-293. · Zbl 0264.10023
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