La méthode de Gel'Fond en théorie des nombres transcendants

Michel Waldschmidt

Séminaire de théorie des nombres de Bordeaux (1970-1971)

  • page 1-20

How to cite

top

Waldschmidt, Michel. "La méthode de Gel'Fond en théorie des nombres transcendants." Séminaire de théorie des nombres de Bordeaux (1970-1971): 1-20. <http://eudml.org/doc/275166>.

@article{Waldschmidt1970-1971,
author = {Waldschmidt, Michel},
journal = {Séminaire de théorie des nombres de Bordeaux},
language = {fre},
pages = {1-20},
publisher = {Laboratoire de théorie des nombres - Université de Bordeaux I},
title = {La méthode de Gel'Fond en théorie des nombres transcendants},
url = {http://eudml.org/doc/275166},
year = {1970-1971},
}

TY - JOUR
AU - Waldschmidt, Michel
TI - La méthode de Gel'Fond en théorie des nombres transcendants
JO - Séminaire de théorie des nombres de Bordeaux
PY - 1970-1971
PB - Laboratoire de théorie des nombres - Université de Bordeaux I
SP - 1
EP - 20
LA - fre
UR - http://eudml.org/doc/275166
ER -

References

top
  1. [1] Alaoglu L. et Erdos P. - On highly composite and similar numbers. Trans. Amer. Math. Soc.56 (1944), p. 455. Zbl0061.07903MR11087
  2. [2] Baker A. - Linear form in the logarithms of algebraic numbers, I, Mathematika, 13, (1966) 204-216 Zbl0161.05201MR258756
  3. Baker A. - Linear form in the logarithms of algebraic numbers, II, Mathematika, 14 (1967), 102-107 Zbl0161.05202MR220680
  4. Baker A. - Linear form in the logarithms of algebraic numbers, III, Mathematika, 14 (1967) 220-228 Zbl0161.05301MR220680
  5. Baker A. - Linear form in the logarithms of algebraic numbers, IV, Mathematika, 15 (1968), 204-216 Zbl0169.37802MR258756
  6. [3] Baker A. - An estimate for the 𝒫 function at an algebraic point. Amer. J. Math.92 (1970) p. 619-622. Zbl0208.30901MR281694
  7. [4] Bombieri E. - Algebraic values of meromorphic maps. Inventiones Math, 10 (1970) p. 267-287. Zbl0214.33702MR306201
  8. [5] Bombieri E. et Lang S. - Analytic subgroups of group varieties, Invent. Math.11 (1970) p. 1-14. Zbl0237.14015MR296028
  9. [6] Brumer A. - On the units of algebraic number fields. Mathematika14 (1967) p. 121-124. Zbl0171.01105MR220694
  10. [7] Coates J. - An effective p-adic analogue of a theorem of Thue. I, Acta ArithmeticaXV (1969) p. 279-305 Zbl0221.10025MR242768
  11. Coates J. - An effective p-adic analogue of a theorem of Thue. II, Acta ArithmeticaXVI (1970) p. 399-412 Zbl0221.10026MR263741
  12. Coates J. - An effective p-adic analogue of a theorem of Thue. III, Acta ArithmeticaXVI (1970) p. 425-435 Zbl0221.10027MR263742
  13. [8] Fel'Dman N. I. - Estimate for a linear form of Logarithms of algebraic numbers. Mat. Sbornik76 (118) (1968) p. 291-307. Zbl0195.33701MR228445
  14. [9] Fel'Dman N. I. - Improved estimate for a linear form of the logarithms of algebraic numbers. Math. Sbornik, 17 (119) (1968) p. 393-406. Zbl0235.10018
  15. [10] Fel'Dman N. I. et Shidlovskii A. B. - The development and present state of the theory of transcendental numbers. Russion Mathematical Surveys, 22 (1967) p. 1-79. Zbl0178.04801MR1763861
  16. [11] Gel'Fond A. O. - Transcendental and algebraic numbers. Dover, New-York, (1960). Zbl0090.26103MR111736
  17. [12] Gel'Fond A. O. et Linnik Y. - Méthodes élémentaires dans la théorie analytique des nombres. Gauthier -Villars, Paris, (1965). Zbl0125.29604MR188136
  18. [13] Koksma J. F. - Diophantische approximationen. Erg. d. Math.4SpringerBerlin (1936). Zbl0012.39602MR344200JFM62.0173.01
  19. [14] Lang S. - Nombres transcendants. Sem. Bourbaki, (1965-66), n° 305. Zbl0236.10019
  20. [15] Lang S. - Introduction to transcendental numbers. Addison Wesley, New-York (1966). Zbl0144.04101MR214547
  21. [16] Leveque W. J. - Topics in number theory. Addison Wesley, New-York (1956). Zbl0070.03803MR80682
  22. [17] Lipman J. - Transcendental numbers. Queen's University, Ontario, (1966). Zbl0154.30302MR213306
  23. [18] Pyatetskii - Shapiro I. I. et Shidlovskii A. B. - Biographie de A. O. Gel'fond. Russion Math. Surveys, 22 (1967) p. 234-242. Zbl0162.00905
  24. [19] Ramachandra K. - Contribution to the theory of transcendental numbers. Acta Arithm.14 (1968) p. 65-88. Zbl0176.33101
  25. [20] Ramachandra K. - A note on Baker's method. J. Austral. Math. Soc.10 (1969) p. 197-203. Zbl0175.33302MR246825
  26. [21] Rauzy G. - Points transcendants sur les variétés de groupes d'après S. Lang. Sém. Bourbaki, (1963-64), 276. Zbl0156.41202
  27. [22] Schneider Th. - Introduction aux nombres transcendants. Gauthier-Villars, Paris, (1959). Zbl0098.26304MR106890
  28. [23] Serre J. P. - Dépendance d'exponentielles p-adiques. Sém. Delange-Pisot-Poitou (1966) n° 15. Zbl0254.10033
  29. [24] Serre J. P. - Travaux de Baker. Sém. Bourbaki (1969-70), n° 368. Zbl0212.07201
  30. [25] Siegel C. L. - Transcendental numbers. Princeton Univ. Press (1949). Zbl0039.04402MR32684
  31. [26] Smelev A. A. - On a certain class of transcendental numbers. Mat. Zametki, 4 (1968) p. 341-348 Zbl0174.08502MR232737
  32. Smelev A. A. - On a certain class of transcendental numbers. Math. Notes, 4 (1968) p. 696-700 Zbl0174.08502MR232737
  33. [27] Smelev A. A. - Apprpximation of one class of transcendental numbers. Mat. Zametki, 5 (1969) p. 117-128 (Math, notes, 73-79). Zbl0278.10033MR238769

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.