Transcendance de a b

Michel Mendès-France

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1961-1962)

  • Volume: 3, page 1-11

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Mendès-France, Michel. "Transcendance de $a^b$." Séminaire Delange-Pisot-Poitou. Théorie des nombres 3 (1961-1962): 1-11. <http://eudml.org/doc/110610>.

@article{Mendès1961-1962,
author = {Mendès-France, Michel},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {transcendence of algebraic powers; Gelfond-Schneider proof},
language = {fre},
pages = {1-11},
publisher = {Secrétariat mathématique},
title = {Transcendance de $a^b$},
url = {http://eudml.org/doc/110610},
volume = {3},
year = {1961-1962},
}

TY - JOUR
AU - Mendès-France, Michel
TI - Transcendance de $a^b$
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1961-1962
PB - Secrétariat mathématique
VL - 3
SP - 1
EP - 11
LA - fre
KW - transcendence of algebraic powers; Gelfond-Schneider proof
UR - http://eudml.org/doc/110610
ER -

References

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  1. [1] Dejean ( Yvette). - Fonction exponentielle dans un corps p-adique, Séminaire Delange-Pisot : Théorie des nombres, t. 2, 1960/61, n° 10, 8 pages. 
  2. [2] Gelfond ( A.O.). - Sur les approximations des nombres transcendants par des nombres algébriques, Doklady Akad. Nauk SSSR, 1935, t. 2, p. 180-182. Zbl0011.33901
  3. [3] Gelfond ( A.O.). - Transcendental and algebraic numbers. - New York, Dover Publications, 1960. Zbl0090.26103MR111736
  4. [4] Gelfond ( A.O.). - Sur le septième problème de Hilbert, Izvestija Akad. Nauk SSSR, Serija 7, 1934, p. 623-630. Zbl0010.39302
  5. [5] Hardy ( G.H.). - Ramanujan. Twelve lectures on subjects suggested by his life and work. - Cambridge, Cambridge University Press, 1940 [Reprinted : New York, Chelsea publishing Company, 1959]. Zbl0025.10505MR4860
  6. [6] Hilbert ( D.). - Mathematische Probleme, Archiv der Math. und Phys., t. 1, 1901, p. 213-237. Zbl32.0084.05JFM32.0084.05
  7. [7] Hille ( Einar). - Gelfond's solution of Hilbert's seventh problem, Amer. math. Monthly, t. 49, 1942, p. 654-661. Zbl0063.02016MR7770
  8. [8] Koksma ( J.F.). - Diophantische Approximationen. - Berlin, J. Springer, 1936 (Ergebnisse der Mathematik ..., 4, Band 4). Zbl0012.39602MR344200JFM62.0173.01
  9. [9] Mahler ( Kurt). - Über transzendente P-adischen Zahlen, Compositio Math., t.2, 1935, p. 259-275. Zbl0012.05302
  10. [10] Melzak ( Z.). - Infinite products for ne and π/e , Amer. math. Monthly, t. 68, 1961, p. 39-41. Zbl0103.04404
  11. [11] Schneider ( Theodor). - Introduction aux nombres transcendants. - Paris, Gauthier-Villars, 1959. Zbl0098.26304MR106890
  12. [12] Siegel ( Carl Ludwig). - Transcendental numbers. - Princeton, Princeton University Press, 1949 (Princeton Mathematics Series, 16). Zbl0039.04402MR32684
  13. [13] Veldkamp ( G.R.). - Ein Transzendenz-Sätz für P-adische Zahlen, J. London math. Soc., t. 15, 1940, p. 183-192. Zbl0027.16203MR3010

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