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Les travaux de G. V. Čudnovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{i}\) sur les nombres transcendants

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Bibliographie

  1. D. BROWNAWELL-Gel’fond’s method for algebraic independence, Trans. Amer. Math. Soc., 210 (1975), 1–26.

    CrossRef  MATH  MathSciNet  Google Scholar 

  2. (and M. WALDSCHMIDT)-The algebraic independence of certain numbers to algebraic powers, Acta Arith., 32 (1976), 63–71.

    MathSciNet  Google Scholar 

  3. 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 term 1976, to appear (preprint, 21p.).

    Google Scholar 

  4. Pairs of polynomials small at a number to certain algebraic powers, Séminaire DELANGE, PISOT, POITOU, 17e année (1975/76) no 11.

    Google Scholar 

  5. 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.

    Google Scholar 

  6. G. V. Čupudnovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{i}\) (CHOODNOVSKY)-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.

    MathSciNet  Google Scholar 

  7. 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.}

    MathSciNet  Google Scholar 

  8. 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.

    Google Scholar 

  9. 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), no 4.}

    Google Scholar 

  10. 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), no 8, 4p.}

    Google Scholar 

  11. 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.

    Google Scholar 

  12. 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.

    Google Scholar 

  13. A. O. GEL’FOND-Transcendental and algebraic numbers, [en russe], GITTL, Moscou (1952); [en anglais], Dover, New York (1960).

    Google Scholar 

  14. S. LANG-Introduction to transcendental numbers, Addison Wesley (1966).

    Google Scholar 

  15. D. W. MASSER-Elliptic functions and transcendence, Lecture Notes in Math., 437 (1975), Springer Verlag.

    Google Scholar 

  16. Th. SCHNEIDER-Einführung in die transzendenten Zahlen, [en allemand], Springer (1957); [en français], Gauthier-Villars (1959).

    Google Scholar 

  17. R. TIJDEMAN-An auxiliary result in the theory of transcendental numbers; J. Number Theory, 5 (1973), 80–94.

    CrossRef  MATH  MathSciNet  Google Scholar 

  18. M. WALDSCHMIDT-a) Nombres transcendants; Lecture Notes in Math., 402 (1974), Springer Verlag.

    Google Scholar 

  19. Indépendance algébrique par la méthode de G. V. Čudnovski\(\underline {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{i} }\), Séminaire DELANGE, PISOT, POITOU (Groupe d’étude de théorie des nombres) 16e année (1974/75), no G 8, 18 p.

    Google Scholar 

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Waldschmidt, M. (1977). Les travaux de G. V. Čudnovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{i}\) sur les nombres transcendants. In: Séminaire Bourbaki vol. 1975/76 Exposés 471–488. Lecture Notes in Mathematics, vol 567. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096075

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