On the number π and Lindemann’s theorem

Ju. V. Nesterenko

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 2, page 335-343
  • ISSN: 0010-2628

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Nesterenko, Ju. V.. "О числе $\pi $ и тeopeмe Линдемана." Commentationes Mathematicae Universitatis Carolinae 020.2 (1979): 335-343. <http://eudml.org/doc/16975>.

@article{Nesterenko1979,
author = {Nesterenko, Ju. V.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {transcendence of pi; transcendence of exp (alpha)},
language = {rus},
number = {2},
pages = {335-343},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {О числе $\pi $ и тeopeмe Линдемана},
url = {http://eudml.org/doc/16975},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Nesterenko, Ju. V.
TI - О числе $\pi $ и тeopeмe Линдемана
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 2
SP - 335
EP - 343
LA - rus
KW - transcendence of pi; transcendence of exp (alpha)
UR - http://eudml.org/doc/16975
ER -

References

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  1. Ch. HERMITE, Extrait d'une lettre de M. Ch. Hermite à M. Borchardt, Journ. für die reine und angew. Math., 76 (1873), 342-344. 
  2. Ch. HERMITE, Sur la formule d'interpolation de Lagrange, Journ. für die reine und angew. Math. 84 (1878), 70-79. 
  3. F. LINDEMANN, Über die Zahl π , Math. Ann. 20 (1882), 213-225. MR1510165
  4. Th. J. STIELTJES, Sur la fonction exponentielle, Compt. Rend. 110 (1890), 267-270. 
  5. C. L. SIEGEL, Transcendental numbers, Princeton, 1949. (1949) Zbl0039.04402MR0032684
  6. A. O. ГEЛЬФOHД, Иcчиcлeниe кoнeчныx paзнocтeй, Изд. "Hayкa", Mocквa, 1967 г. (1967) 
  7. A. O. ГEЛЬФOHД, Избpaнныe тpyды, Изд. "Hayкa", Mocквa, 1973 r. (1973) 
  8. M. B. ФEДOPЮK, Meтoд пepeвaлa, Изд. "Hayкa", Mocквa, 1977 г. (1977) 

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