Sur le spectre de Lagrange d'un ensemble de nombres réels

Michel Mendès France

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1977-1978)

  • Volume: 19, Issue: 2, page 1-5

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Mendès France, Michel. "Sur le spectre de Lagrange d'un ensemble de nombres réels." Séminaire Delange-Pisot-Poitou. Théorie des nombres 19.2 (1977-1978): 1-5. <http://eudml.org/doc/111016>.

@article{MendèsFrance1977-1978,
author = {Mendès France, Michel},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {Lagrange Constant; Lagrange Spectrum; Quadratic Number Fields; Diophantine Approximation},
language = {fre},
number = {2},
pages = {1-5},
publisher = {Secrétariat mathématique},
title = {Sur le spectre de Lagrange d'un ensemble de nombres réels},
url = {http://eudml.org/doc/111016},
volume = {19},
year = {1977-1978},
}

TY - JOUR
AU - Mendès France, Michel
TI - Sur le spectre de Lagrange d'un ensemble de nombres réels
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1977-1978
PB - Secrétariat mathématique
VL - 19
IS - 2
SP - 1
EP - 5
LA - fre
KW - Lagrange Constant; Lagrange Spectrum; Quadratic Number Fields; Diophantine Approximation
UR - http://eudml.org/doc/111016
ER -

References

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  1. [1] Bumby ( R.T.). - The Markov spectrum, "Diophantine approximation and its applications", [1972. Whashington], p. 25-58. - New York, Academic Press, 1972. Zbl0262.10018MR387200
  2. [2] Bumby ( R.T.). - Structure of the Markoff spectrum below √12 , Acta Arithm., Warszawa, t. 29, 1976, p. 299-307. Zbl0283.10018
  3. [3] Cassels ( J.W.S.). - An introduction to Diophantine approximation, Cambridge, at the University Press, 1957 (Cambridge Tracts in Mathematics and mathematical Physics, 45). Zbl0077.04801MR87708
  4. [4] Cusick ( T.W.). - The largest gaps in the lower Markoff spectrum, Duke math. J., t. 41, 1974, p. 453-463. Zbl0301.10028MR466018
  5. [5] Cusick ( T.W.). - The connection between the Lagrange and Markoff spectra, Duke math. J., t. 42, 1975, p. 507-517. Zbl0347.10026MR374040
  6. [6] Cusick ( T.W.) et Mendès France ( M.). - The Lagrange spectrum of a set, Acta Arithm., Warszawa ( à paraître). Zbl0409.10020
  7. [7] Davenport ( H.). - A remark on continued fractions, Michigan math. J., t. 11, 1964, p. 343-344. Zbl0125.02802MR168526
  8. [8] Galois ( E.). - Démonstration d'un théorème sur les fractions continues périodiques, Annales Math. pures et appl., t. 19, 1828-1829, p. 294-299. Zbl61.0227.02
  9. [9] Kinney ( J.R.) and Pitcher ( T.S.). - The Hausdorff-Besicovich dimension of the level sets of Perron's modular function, Trans. Amer. math. Soc., t. 124, 1966, p. 122-130. Zbl0144.28701MR197398
  10. [10] Kinney ( J.R.) and Pitcher ( T.S.). - On the lower range of Perron's modular function, Canad. J. Math., t. 21, 1969, p. 808-816. Zbl0181.05402MR248089
  11. [11] Koksma ( J.F.). - Diophantische Approximationen. - Berlin, J. Springer, 1936 (Ergebnisse der Mathematik, 4, Band 4). Zbl0012.39602MR344200JFM62.0173.01
  12. [12] Hall ( M. Jr.). - The Markoff spectrum, Acta Arithm., Warszawa, t. 18, 1971, p. 387-399. Zbl0224.10023MR296023
  13. [13] Mendès France ( M.). - On a theorem of Davenport concerning continued fractions, Mathematika, London, t. 23, 1976, p. 136-141. Zbl0359.10005MR429772
  14. [14] Schmidt ( A.L.). - Diophantine approximation of complex numbers, Acta Math., Uppsala, t. 134, 1975, p. 1-85. Zbl0329.10023MR422168

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