Approximation simultanée de valeurs de la fonction exponentielle

Maurice Mignotte; Michel Waldschmidt

Compositio Mathematica (1977)

  • Volume: 34, Issue: 2, page 127-139
  • ISSN: 0010-437X

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Mignotte, Maurice, and Waldschmidt, Michel. "Approximation simultanée de valeurs de la fonction exponentielle." Compositio Mathematica 34.2 (1977): 127-139. <http://eudml.org/doc/89320>.

@article{Mignotte1977,
author = {Mignotte, Maurice, Waldschmidt, Michel},
journal = {Compositio Mathematica},
language = {fre},
number = {2},
pages = {127-139},
publisher = {Noordhoff International Publishing},
title = {Approximation simultanée de valeurs de la fonction exponentielle},
url = {http://eudml.org/doc/89320},
volume = {34},
year = {1977},
}

TY - JOUR
AU - Mignotte, Maurice
AU - Waldschmidt, Michel
TI - Approximation simultanée de valeurs de la fonction exponentielle
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 34
IS - 2
SP - 127
EP - 139
LA - fre
UR - http://eudml.org/doc/89320
ER -

References

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  1. [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). Zbl0261.10025
  2. [2] P.L. Cijsouw: Transcendence measures, Academisch Proefschrift.Amsterdam, 1972; 107 p. Zbl0252.10031MR349596
  3. [3] P.L. Cusouw: Transcendence measures of exponentials and logarithms of algebraic numbers; Compositio Math.28 (1974) 163-178. Zbl0284.10013MR347744
  4. [4] K. Mahler: On a class of entire functions. Acta Math. Acad. Sci. Hungar.18 (1967) 83-96. Zbl0207.35602MR205935
  5. [5] M. Mignotte et M. Waldschmidt: Approximation des valeurs de fonctions transcendantes. Proc. Nederl. Akad. Wetensch., Ser. A78 (1975) 213-223. (= Indag. Math., 37, fasc. 3). Zbl0305.10027MR376552
  6. [6] TH. Schneider: Introduction aux nombres transcendants. Springer, Berlin, 1957, et Gauthier-Villars, Paris, 1959. Zbl0098.26304MR106890
  7. [7] T.N. Shorey: On the sum Σ3k=1 |2πk - α k|, αk algebraic numbers. J. Number Theory6 (1974) 248-260. Zbl0287.10020
  8. [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. Zbl0264.10023MR352016

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