Un problème métrique d'approximation diophantienne

Bernard de Mathan

Bulletin de la Société Mathématique de France (1971)

  • Volume: 99, page 369-385
  • ISSN: 0037-9484

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de Mathan, Bernard. "Un problème métrique d'approximation diophantienne." Bulletin de la Société Mathématique de France 99 (1971): 369-385. <http://eudml.org/doc/87175>.

@article{deMathan1971,
author = {de Mathan, Bernard},
journal = {Bulletin de la Société Mathématique de France},
language = {fre},
pages = {369-385},
publisher = {Société mathématique de France},
title = {Un problème métrique d'approximation diophantienne},
url = {http://eudml.org/doc/87175},
volume = {99},
year = {1971},
}

TY - JOUR
AU - de Mathan, Bernard
TI - Un problème métrique d'approximation diophantienne
JO - Bulletin de la Société Mathématique de France
PY - 1971
PB - Société mathématique de France
VL - 99
SP - 369
EP - 385
LA - fre
UR - http://eudml.org/doc/87175
ER -

References

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  1. [1] CASSELS (J. W. S.). — Some metrical theorems in Diophantine approximation, III, Proc. Camb. phil. Soc., t. 46, 1950, p. 219-225. Zbl0035.31902MR12,162d
  2. [2] ERDÖS (P.). — Some results on diophantine approximation, Acta Arith., Warszawa, t. 5, 1959, p. 359-369. Zbl0097.03502MR22 #12091
  3. [3] KHINTCHINE [KHINČIN] (A.). — Einige Sätze über Kettenbrüche mit Anwendungen auf die Theorie der Diophantischen Approximationen, Math. Annalen, t. 92, 1924, p. 115-125. JFM50.0125.01
  4. [4] LANG (S.). — Asymptotic approximations to quadratic irrationalities, I and II, Amer. J. Math., t. 87, 1965, p. 481-496. Zbl0127.02204MR31 #3383
  5. [5] LESCA (J.). — Sur la répartition modulo 1 des suites (n α), Séminaire Delange-Pisot-Poitou : Théorie des nombres, 8e année, 1966-1967, n° 2, 9 pages. Zbl0164.05502
  6. [6] LESCA (J.). — Sur les approximations diophantiennes à une dimension (Thèse Sc. Math. Grenoble, 1968). 
  7. [7] LE VEQUE (W. J.). — On the frequency of small fractional parts in certains real sequences, III, J. für reine. und angew. Math., t. 202, 1959, p. 215-220. Zbl0090.26102MR22 #12090
  8. [8] DE MATHAN (B.). — Approximations diophantiennes dans un corps local, Bull. Soc. math. France, Mémoire 21, 1970, 93 pages. Zbl0221.10037MR43 #161
  9. [9] DE MATHAN (B.). — Un critère de non-eutaxie. C. R. Acad. Sc. Paris (à paraître). Zbl0219.10061
  10. [10] PHILIPP (W.). — Some metrical theorems in number theory, Pacific J. Math., t. 20, 1967, p. 109-127. Zbl0144.04201MR34 #5755
  11. [11] SCHMIDT (W.). — A metrical theorem in diophantine approximation, Canad. J. Math., t. 12, 1960, p. 619-631. Zbl0097.26205MR22 #9482
  12. [12] SCHMIDT (W.). — Metrical theorems on fractional parts of sequences, Trans. Amer. math. Soc., t. 110, 1964, p. 493-518. Zbl0199.09402MR28 #3018

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