Les travaux de G. V. Čudnovskiĭ sur les nombres transcendants

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1. [1] D. Brownawell - a) Gel'fond's method for algebraic independence, Trans. Amer. Math. Soc., 210 (1975), 1-26. Zbl0312.10022MR382181
2. b) (and M. Waldschmidt) - The algebraic independence of certain numbers to algebraic powers, Acta Arith., 32 (1976), 63-71. Zbl0357.10018MR429777
3. c) On the Gel'fond-Fel'dman measure of algebraic independence, Proceedings of a Conference on "Transcendence Theory and its Applications", held at Cambridge in Lent term1976, to appear (preprint, 21p.). 
4. d) Pairs of polynomials small at a number to certain algebraic powers, Séminaire DELANGE, PISOT, POITOU, 17e année (1975/76) n° 11. Zbl0351.10022
5. [2] J. Coates - Linear relations between 2πi and the periods of two elliptic curves, in "Diophantine approximations and its applications" (ed. by C.F. Osgood), Academic Press (1973), 77-99. Zbl0264.10022
6. [3] G.V. Čudnovskiĭ ( Choodnovsky) - a) Algebraic independence of some values of the exponential function, [en russe], Mat. Zametki, 15 (1974), 661-672 ; [en anglais], Math. Notes, 15 (1974), 391-398. Zbl0295.10027MR357337
7. b) A mutual transcendence measure for some classes of numbers, [en russe], Dokl. Akad. Nauk SSSR, 218 (1974), 771-774 ; [en anglais], Soviet Math. Dokl., 15 (1974), 1424-1428. {cf. Proc. of all Union Conference on Number Theory, Vilnius, (1974), 304-305.} Zbl0305.10029MR364117
8. c) Some analytical methods in the theory of transcendental numbers, [en russe], Institute of Mathematics Ukrainian SSR Academy of Sciences, Preprint IM - 74 - 8, Kiev (1974), 48 p. ; Analytic methods in diophantine approximations, id., IM - 74 - 9, Kiev (1974), 52 p. MR434972
9. d) The Gelfond Baker method in problems of diophantine approximation, [en anglais], Colloquium on Number Theory (Bolyai Janos Math. Soc.), Debrecen, Oct. 1974 (Proceedings of the conference : North. Holland Publ. Company). {cf. Uspekhi Mat. Nauk, 31 (1976), n° 4.} Zbl0337.10023MR441880
10. e) Algebraic independence of constants connected with the functions of analysis, [en anglais], Preprint, 8 p. {cf. Notices of the AMS, 22 (1975), A486 ; Dokl. Ukrainian SSR Academy of Sciences (1976), n° 8, 4p.} 
11. f) Towards the Schanuel Hypothesis ; algebraic curves near the point Part I : general theory of coloured sequences., (33 p.). Part II : fields of finite type of transcendence and coloured sequences ; resultants, (23 p.), [en russe ; résumé en anglais], Preprint, Acta Math. Acad. Sci. Hungaricae, à paraître. 
12. [4] N.I. Fel'dman - Approximation of certain transcendental numbers, I, the approximation of logarithms of algebraic numbers, [en russe], Izv. Akad. Nauk SSSR, Ser. Mat., 15 (1951), 53-74 ; [en anlais], Amer. Math. Soc. Transl., (2) 59 (1966), 224-245. Zbl0199.09605MR39768
13. [5] A.O. Gel'fond - Transcendental and algebraic numbers, [en russe], GITTL, Moscou (1952) ; [en anglais], Dover, New York (1960). MR111736
14. [6] S. Lang - Introduction to transcendental numbers, Addison Wesley (1966). Zbl0144.04101MR214547
15. [7] D.W. Masser - Elliptic functions and transcendence, Lecture Notes in Math., 437 (1975), Springer Verlag. Zbl0312.10023MR371828
16. [8] Th. Schneider - Einführung in die transzendenten Zahlen, [en allemand], Springer (1957) ; [en français], Gauthier-Villars (1959). Zbl0077.04703MR86842
17. [9] R. Tijdeman - An auxiliary result in the theory of transcendental numbers ; J. Number Theory, 5 (1973), 80-94. Zbl0254.10027MR316395
18. [10] M. Waldschmidt - a) Nombres transcendants ; Lecture Notes in Math., 402 (1974), Springer Verlag. Zbl0302.10030MR360483
19. b) Indépendance algébrique par la méthode de G. V. Čudnovskiĭ, Séminaire DELANGE, PISOT, POITOU (Groupe d'étude de théorie des nombres) 16e année (1974/75), n° G 8, 18 p. Zbl0324.10031

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