Théorèmes métriques sur les fractions continues

Hassan Saffari

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1959-1960)

  • Volume: 1, page 1-29

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Saffari, Hassan. "Théorèmes métriques sur les fractions continues." Séminaire Delange-Pisot-Poitou. Théorie des nombres 1 (1959-1960): 1-29. <http://eudml.org/doc/110588>.

@article{Saffari1959-1960,
author = {Saffari, Hassan},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {metric theorems; continued fractions},
language = {fre},
pages = {1-29},
publisher = {Secrétariat mathématique},
title = {Théorèmes métriques sur les fractions continues},
url = {http://eudml.org/doc/110588},
volume = {1},
year = {1959-1960},
}

TY - JOUR
AU - Saffari, Hassan
TI - Théorèmes métriques sur les fractions continues
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1959-1960
PB - Secrétariat mathématique
VL - 1
SP - 1
EP - 29
LA - fre
KW - metric theorems; continued fractions
UR - http://eudml.org/doc/110588
ER -

References

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  1. [1] Bernstein ( Felix). - Über eine Anwendung der Mengenlehre auf ein aus der Theorie der säkularen Störungen herrührendes Problem, Math. Annalen, t. 71, 1912, p. 417-439. Zbl42.1007.01JFM42.1007.01
  2. [2] Borel ( Emile). - Les probabilités dénombrables et leurs applications arithmétiques, Rend. Cire. math. Palermo, t. 27, 1909, p. 247-271. JFM40.0283.01
  3. [3] Borel ( Emile). - Leçons sur la théorie de la croissance. - Paris, Gauthier-Villars, 1910 (Collection de Monographies sur la Théorie des Fonctions). JFM41.0459.02
  4. [4] Cassels ( J.W.S.). - Some metrical theorems in diophantine approximation, Proc. Cambridge phil. Soc., t. 46, 1960, p. 209-218. Zbl0035.31902MR36787
  5. [5] Cassels ( J.). -An introduction to diophantine approximation. - Cambridge, at the University Press, 1957 (Cambridge Tracts in Mathematics and mathematical Physics, 45). Zbl0077.04801MR87708
  6. [6] Hardy ( G.H.) and Wright ( E.M.). - An introduction to the theory of numbers, 3rd edition. - Oxford, Clarendon Press, 1954. [Voir en particulier : p. 165-169.] Zbl0058.03301MR67125
  7. [7] Khinčin ( A.). - Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der diophantischen Approximation, Math. Annalen, t. 92, 1924, p. 115-125. MR1512207JFM50.0125.01
  8. [8] Khinčin ( A.). - Bemerkung zur metrischen Theorie der Kettenbrühe, Mat. Sborn., t. 32, 1925, p. 326-329. JFM52.0187.02
  9. [9] Khinčin ( A.). - Zur metrischen Theorie der diophantischen Approximationen, Math. Z., t. 24, 1926, p. 706-714. Zbl52.0183.02MR1544787JFM52.0183.02
  10. [10] Khinčin ( A.). - Metrische Kettenbruchprobleme, Compositio Math., t. 1, 1935, p. 361-382. JFM60.0948.04
  11. [11] Khinčin ( A.). - Zur metrischen Kettenbruchtheorie, Compositio Math., t. 3, 1936, p. 276-285. JFM62.0245.03
  12. [12] Khinčn ( A.). - Kettenbrüche. - Leipzig, B. G. Teubner, 1956. MR80630
  13. [13] Kcksma ( J.F.). - Diophantische Approximationen. - Berlin, J. Springer, 1936, (Ergebnisse der Mathematik, 4). [Voir en particulier : chap. 3, § 5, p. 43-49.] Zbl0012.39602JFM62.0173.01
  14. [14] Uspenskij ( J.V.). - Introduction to mathematical probability. - New York, London, McGraw-Hill, 1937. Zbl63.1069.01JFM63.1069.01

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