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Séries d’Eisenstein et transcendance. (French) Zbl 0341.10031

MSC:
11J61 Approximation in non-Archimedean valuations
11J81 Transcendence (general theory)
11F12 Automorphic forms, one variable
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
14H45 Special algebraic curves and curves of low genus
33E05 Elliptic functions and integrals
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References:
[1] BERTRAND (D.) . - Un théorème de Schneider-Lang sur certains domaines non simplement connexes , Séminaire Delange-Pisot-Poitou : Théorie des nombres, 16e année, 1974 / 75 , G-18, 13 p. Numdam | Zbl 0318.10024 · Zbl 0318.10024
[2] LANG (S.) . - Transcendental numbers and diophantine approximations , Bull. Amer. math. Soc, t. 77, 1971 , p. 635-677. Article | MR 44 #6615 | Zbl 0218.10053 · Zbl 0218.10053
[3] MASSER (D.) . - Elliptic functions and transcendence . - Berlin Springer-Verlag, 1975 (Lecture Notes in Mathematics, 437). MR 52 #296 | Zbl 0312.10023 · Zbl 0312.10023
[4] ROQUETTE (P.) . - Analytic theory of elliptic functions over local fields . - Göttingen, Vandenhoeck & Ruprecht, 1970 (Hamburger mathematische Einzelschriften, 1). MR 41 #5376 | Zbl 0194.52002 · Zbl 0194.52002
[5] SCHNEIDER (T.) . - Einführung in die transzendenten Zahlen . - Berlin Springer-Verlag, 1957 (Die Grundlehren der mathematischen Wissenschaften, 81). Zbl 0077.04703 · Zbl 0077.04703
[6] SIEGEL (C. L.) . - Bestimmung der elliptischen Modulfunktion durch eine Transformationsgleichung , Abh. math. Sem. Univ. Hamburg, t. 27, 1964 , p. 32-38 MR 29 #2391 | Zbl 0119.29701 · Zbl 0119.29701
[7] WALDSCHMIDT (M.) . - Nombres transcendants . - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 402). Zbl 0302.10030 · Zbl 0302.10030
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