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Approximation algébrique de nombres lies aux fonctions elliptiques et exponentielle. (French) Zbl 0432.10018


MSC:

11J81 Transcendence (general theory)
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References:

[1] ANDERSON (M.) . - Ph. D. thesis , University of Nottingham, 1978 .
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[3] BROWNAWELL (D. W.) and KUBOTA (K. K.) . - The algebraic independence of Weierstrass functions and some related numbers , Acta Arithm., Warszawa, t. 33, 1977 , p. 111-149. Article | MR 56 #2932 | Zbl 0356.10027 · Zbl 0356.10027
[4] CIJSOUW (P. L.) . - Transcendence measures , Thesis, University of Amsterdam, 1972 . MR 50 #2089 | Zbl 0252.10031 · Zbl 0252.10031
[5] CIJSOUW (P. L.) and WALDSCHMIDT (M.) . - Linear forms and simultaneous approximations , Compos. Math., Groningen, t. 34, 1977 , p. 173-197. Numdam | MR 56 #5445 | Zbl 0345.10021 · Zbl 0345.10021
[6] COATES (J.) . - The transcendence of linear forms in \omega 1, \omega 2, \eta 1, \eta 2, 2i\pi , Amer. J. of Math., t. 93, 1971 , p. 385-397. MR 44 #3964 | Zbl 0224.10032 · Zbl 0224.10032 · doi:10.2307/2373383
[7] FEL’DMAN (N. I.) . - Approximation de certains nombres transcendants (en russe) Izv. Akad. Nauk S.S.S.R., Ser. Mat., t. 15, 1951 , p. 53-74, 153-176 ; [en anglais] Amer. math. Soc. Transl., Series 2, t. 59, 1966 , p. 224-270. Zbl 0199.09605 · Zbl 0199.09605
[8] FEL’DMAN (N. I.) . - Approximation simultanée des périodes d’une fonction elliptique par des nombres algébriques [en russe] Izv. Akad. Nauk S.S.S.R., Ser. Mat., t. 22, 1958 , p. 563-576 ; [en anglais] Amer. math. Soc. Transl., Series 2, t. 59, 1966 , p. 271-284. Zbl 0199.09603 · Zbl 0199.09603
[9] FEL’DMAN (N. I.) . - Sur les périodes des fonctions elliptiques [en russe] Acta Arithm. Warszawa, t. 24, 1974 , p. 477-489. MR 49 #4944 | Zbl 0273.10032 · Zbl 0273.10032
[10] FRICKE (R.) . - Die elliptischen Funktionen und ihre Anwendungen . Band 2. - Leipzig und Berlin, B. G. Teubner, 1916 . JFM 46.0599.02 · JFM 46.0599.02
[11] MASSER (D. W.) . - Elliptic functions and transcendence . - Berlin, Springer-Verlag, 1975 (Lecture Notes in Mathematics, 437). MR 52 #296 | Zbl 0312.10023 · Zbl 0312.10023
[12] MIGNOTTE (M.) and WALDSCHMIDT (M.) . - Linear forms in two logarithms and Schneider’s method , Math. Annalen, t. 267, 1978 , p. 231-241. Zbl 0349.10029 · Zbl 0349.10029 · doi:10.1007/BF01420244
[13] REYSSAT (E.) . - Mesures de transcendance de nombres liés aux fonctions exponentielles et elliptiques , C. R. Acad. Sc., Paris, t. 285, 1977 , série A, p. 977-980 ; et Mesures de transcendance de nombres liés aux fonctions elliptiques, Thèse 3e cycle, Université Pierre-et-Marie-Curie, 1977 . MR 58 #16552 | Zbl 0375.10019 · Zbl 0375.10019
[14] SCHNEIDER (T.) . - Einführung in die transzendenten Zahlen . - Berlin, Springer-Verlag. 1957 (Grundlehren der mathematischen Wissenschaften, 81). Zbl 0077.04703 · Zbl 0077.04703
[15] WALDSCHMIDT (M.) . - Transcendence measures for exponentials and logarithms , J. Austral. math. Soc., Ser. A, t. 25, 1978 , p. 445-465. MR 80c:10039 | Zbl 0388.10022 · Zbl 0388.10022
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