À propos de la méthode de Baker

Michel Waldschmidt

Mémoires de la Société Mathématique de France (1974)

  • Volume: 37, page 181-192
  • ISSN: 0249-633X

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Waldschmidt, Michel. "À propos de la méthode de Baker." Mémoires de la Société Mathématique de France 37 (1974): 181-192. <http://eudml.org/doc/94669>.

@article{Waldschmidt1974,
author = {Waldschmidt, Michel},
journal = {Mémoires de la Société Mathématique de France},
language = {fre},
pages = {181-192},
publisher = {Société mathématique de France},
title = {À propos de la méthode de Baker},
url = {http://eudml.org/doc/94669},
volume = {37},
year = {1974},
}

TY - JOUR
AU - Waldschmidt, Michel
TI - À propos de la méthode de Baker
JO - Mémoires de la Société Mathématique de France
PY - 1974
PB - Société mathématique de France
VL - 37
SP - 181
EP - 192
LA - fre
UR - http://eudml.org/doc/94669
ER -

References

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  1. [1] SCHNEIDER TH. — Ein Satz über ganzwertige Funktionen als Prinzip fur Transzendenzbeweise. Math. Ann., 121 (1949) pp. 131-140. Zbl0034.31702
  2. [2] GEL'FOND A.O. — Transcendental and algebraic numbers. Dover, New-York (1960) ; (trad. angl. de l'édition russe, G.I.T.T.L., Moscou (1952)). 
  3. [3] SCHNEIDER TH. — Introduction aux nombres transcendants. Paris, Gauthier Villars, (1959) ; (trad. franç. de l'édition allemande, Springer, (1957)). Zbl0098.26304
  4. [4] LANG S. — Introduction to transcendental numbers. Addison Wesley, Reading Mass. (1966). Zbl0144.04101MR35 #5397
  5. [5] RAMACHANDRA K. — Contributions to the theory of transcendental numbers. I, Acta Arith., 14 (1968) pp. 65-72 ; II, id., pp. 73-88. Zbl0176.33101MR37 #165
  6. [6] BOMBIERI E. — Algebraic values of meromorphic maps. Invent. Math., 10 (1970) pp. 267-287. Zbl0214.33702MR46 #5328
  7. [7] BOMBIERI E. and LANG S. — Analytic subgroups of group varieties. Invent. Math., 11 (1970) pp. 1-14. Zbl0237.14015MR45 #5089
  8. [8] WALDSCHMIDT M. — Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes. Acta. Arith., 23 (1972) pp. 19-88. Zbl0227.10022MR49 #4945
  9. [9] CIJSOUW P.L. — Transcendence measures. Academisch proefschrift, Amsterdam (1972), 107 pp. Zbl0252.10031MR50 #2089
  10. [10] BAKER A. — Linear forms in the logarithms of algebraic numbers. I, Mathematika, 13 (1966) pp. 204-216 ; II, id., 14 (1967) pp. 102-107 ; III, id., 14 (1967) pp. 220-228 ; IV, id., 15 (1968) pp. 204-216. Zbl0161.05201MR41 #3402
  11. [11] BAKER A. — On the periods of the Weierstrass p-function. Proceedings of the Rome conference on number theory (1968) ; Sympos. Math., Roma, 4 (1970) pp. 155-174. Zbl0223.10019MR43 #4768
  12. [12] BAKER A. — On the quasi-periods of the Weierstrass ζ-function. Nach. Akad. Wiss. Göttingen II, Math. Phys. Klasse, n° 16 (1969) pp. 145-157. Zbl0201.05403MR43 #159
  13. [13] COATES J. — The transcendence of linear forms in ω1, ω2, η1, η2, 2iπ. Amer. J. Math., 93 (1971) pp. 385-397. Zbl0224.10032MR44 #3964
  14. [14] COATES J. — Linear forms in the periods of the exponential and elliptic functions. Invent. Math., 12 (1971) pp. 290-299. Zbl0217.04001MR45 #3330
  15. [15] WALDSCHMIDT M. — Utilisation de la méthode de Baker dans des problèmes d'indépendance algébrique. C.R. Acad. Sc. Paris, sér. A, 275 (1972) pp. 1215-1217. Zbl0244.10033MR48 #11000

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