Approximations diophantiennes linéaires homogènes

Gérard Rauzy

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

  • Volume: 3, page 1-18

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Rauzy, Gérard. "Approximations diophantiennes linéaires homogènes." Séminaire Delange-Pisot-Poitou. Théorie des nombres 3 (1961-1962): 1-18. <http://eudml.org/doc/110603>.

@article{Rauzy1961-1962,
author = {Rauzy, Gérard},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {homogeneous linear diophantine approximation},
language = {fre},
pages = {1-18},
publisher = {Secrétariat mathématique},
title = {Approximations diophantiennes linéaires homogènes},
url = {http://eudml.org/doc/110603},
volume = {3},
year = {1961-1962},
}

TY - JOUR
AU - Rauzy, Gérard
TI - Approximations diophantiennes linéaires homogènes
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1961-1962
PB - Secrétariat mathématique
VL - 3
SP - 1
EP - 18
LA - fre
KW - homogeneous linear diophantine approximation
UR - http://eudml.org/doc/110603
ER -

References

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  1. [1] Blichfeldt ( H.F.). - A new principle in the geometry of numbers with some applications, Trans. Amer. math. Soc., t. 15, 1914, p. 227-235. Zbl45.0314.01MR1500976JFM45.0314.01
  2. [2] Borel ( Emile). - Contribution à l'analyse arithmétique du continu, J. Math. pures et appl., Série 5, t. 9, 1903, p. 329-375. JFM34.0239.01
  3. [3] Cassels ( J.W.S.). - An introduction to diophantine approximation. - Cambridge, at the University Press, 1957 (Cambridge Tracts in Math. and math. Physics, 45). Zbl0077.04801MR87708
  4. [4] Fürwangler ( P.). - Über die simultane Approximation von Irrationalzahlen, I., Math. Annalen, t. 96, 1927, p. 169-175 ; II., Math. Annalen, t. 99, 1928, p. 71-83. JFM52.0184.03
  5. [5] Hofreiter ( Nicolas). - Über die Approximation von komplexen Zahlen, Monatsh. für Math. und Phys., t. 42, 1935, p. 401-416. Zbl0013.05304
  6. [6] Jarnik ( V.). - Ein Existenzsatz aus der Theorie der diophantischen Approximationen, Prace mat.-fiz., t. 39, 1932, p. 135-144. Zbl0004.34101
  7. [7] Koksma ( J.F.). - Diophantische Approximationen. - Berlin, J. Springer, 1936 (Ergebnisse der Mathematik, 4). Zbl0012.39602MR344200JFM62.0173.01
  8. [8] Minkowski ( Hermann). - Geometrie der Zahlen, 1. Lieferung. - New-York, Chelsea publisching Company, 1953. Zbl0050.04807
  9. [9] Perron ( Oskar). - Über diophantische Approximationen, Math. Annalen, t. 83, 1921, p. 77-84. Zbl48.0194.01MR1512000JFM48.0194.01
  10. [10] Perron ( Oskar). - Irrationalzahlen, 2te Auflage. - New-York, Chelsea publishing Company, 1948. 
  11. [11] Pisot ( Charles). - Quelques résultats d'approximation diophantienne, Colloques internationaux du C. N. R. S. : Algèbre et théorie des nombres [24. 1949. Paris] ; p. 57-58. - Paris, Centre national de la Recherche scientifique, 1950. Zbl0041.37202MR42466
  12. [12] Siegel ( C.). - Über den Thueschen Satz, Krist. Vid. Selsk. Skr., t. 1, 1921, n° 16, 12 p. Zbl48.1182.03JFM48.1182.03
  13. [13] Szüsz ( P.). - Über die Approximation einer reallen Zahl durch Brüche, Acta Math. Acad. Scient. Hungar, t. 10, 1959, p. 69-75. Zbl0088.03903MR107633

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