Quelques résultats sur les approximations diophantiennes

Peter Bundschuh

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1974-1975)

  • Volume: 16, Issue: 1, page 1-10

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Bundschuh, Peter. "Quelques résultats sur les approximations diophantiennes." Séminaire Delange-Pisot-Poitou. Théorie des nombres 16.1 (1974-1975): 1-10. <http://eudml.org/doc/110890>.

@article{Bundschuh1974-1975,
author = {Bundschuh, Peter},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {1},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Quelques résultats sur les approximations diophantiennes},
url = {http://eudml.org/doc/110890},
volume = {16},
year = {1974-1975},
}

TY - JOUR
AU - Bundschuh, Peter
TI - Quelques résultats sur les approximations diophantiennes
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1974-1975
PB - Secrétariat mathématique
VL - 16
IS - 1
SP - 1
EP - 10
LA - fre
UR - http://eudml.org/doc/110890
ER -

References

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  2. [2] Baker ( A.). - Linear forms in the logarithms of algebraic numbers, II., Mathematika, t. 14, 1967, p. 102-107. Zbl0161.05202
  3. [3] Bundschuh ( P.). - Zum Franklin-Schneiderschen Satz, J, reine angew. Math., t. 260, 1973, p. 103-118. Zbl0256.10020MR360481
  4. [4] Bundschuh ( P.). - Zur simultanen Approximation von β0 , ... , βn-1 und Πn-1 ν=0 αβν αν durch algebraische Zahlen, J. reine angew. Math., (à paraître). Zbl0311.10034
  5. [5] Bundschuh ( P.). - Transzendenzmasse in Körpern formaler Laurentreihen (en préparation). Zbl0367.10032
  6. [6] Durand ( A.). - Quatre problèmes de Mahler sur la fonction ordre d'un nombre transcendant, Bull. Soc. math. France, v. 102, 1974, p. 365-377. Zbl0302.10032MR364118
  7. [7] Fel'dman ( N.I.). - Approximation of certain transcendental numbers, I., Amer. math. Soc. Transl., Series 2, t. 59, 1966, p. 224-245 ; et [en russe] Izv. Akad. Nauk SSSR, Ser. mat., t. 15, 1951, p. 53-74. Zbl0199.09605MR39768
  8. [8] Fel'dman ( N.I.). - Arithmetic properties of the solutions of a transcendental equation, Amer. math. Soc. Transl., Series 2, t. 66, 1968, p. 145-153 ; et [en russe] Vestnik Moskov. Univ., Ser. 1 : Mat., Mekh., 1964, n° 1, p. 13-20. Zbl0179.07603MR158869
  9. [9] Franklin ( P.). - A new class of transcendental numbers. Trans. Amer. Math. Soc., t. 42, 1937, p. 155-182. Zbl0017.15205MR1501918
  10. [10] Geijsel ( J.M.). - Transcendence properties of the Carlitz-Besselfunctions. Math. Centre Report ZW 2/71, Amsterdam, 1971. Zbl0214.30102MR276199
  11. [11] Geijsel ( J.M.). - Schneider's method in fields of characteristic p ≠ 0 , Math. Centre Report 17/73, Amsterdam, 1973. Zbl0277.10025MR337805
  12. [12] Mahler ( K.). - An analogue to Minkowski's geometry of numbers in a field of series, Ann. of Math., t. 42, 1941, p. 488-522. Zbl0027.16001MR4272JFM67.0140.01
  13. [13] Schneider ( T.). - Einführung in die transzendenten Zahlen. - Berlin, Göttingen, Heidelberg, Springer-Verlag, 1957 (Die Grundlehren der mathematischen Wissenschaften, 81). Zbl0077.04703MR86842
  14. [14] Šmelev ( A.A.). - A. O. Gel'fond's method in the theory of transcendental numbers, Math. Notes, t. 10, 1971, p. 672-678 ; et [en russe] Mat. Zametki, t. 10, 1971, p. 415-426. Zbl0254.10028MR297714
  15. [15] Sprindžuk ( V.G.). - Mahler's problem in metric number theory. [Translated from the Russian]. - Providence, American mathematical Society, 1969 (Translations of mathematical Monographs, 25). Zbl0181.05502MR245527
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