Un résultat métrique d'approximations diophantiennes non homogènes

Marc Reversat

Bulletin de la Société Mathématique de France (1976)

  • Volume: 104, page 129-144
  • ISSN: 0037-9484

How to cite

top

Reversat, Marc. "Un résultat métrique d'approximations diophantiennes non homogènes." Bulletin de la Société Mathématique de France 104 (1976): 129-144. <http://eudml.org/doc/87268>.

@article{Reversat1976,
author = {Reversat, Marc},
journal = {Bulletin de la Société Mathématique de France},
language = {fre},
pages = {129-144},
publisher = {Société mathématique de France},
title = {Un résultat métrique d'approximations diophantiennes non homogènes},
url = {http://eudml.org/doc/87268},
volume = {104},
year = {1976},
}

TY - JOUR
AU - Reversat, Marc
TI - Un résultat métrique d'approximations diophantiennes non homogènes
JO - Bulletin de la Société Mathématique de France
PY - 1976
PB - Société mathématique de France
VL - 104
SP - 129
EP - 144
LA - fre
UR - http://eudml.org/doc/87268
ER -

References

top
  1. [1] ADAMS (W. W.).— Simultaneous asymptotic diophantine approximation, Mathematika, London, t. 14, 1967, p. 173-180. Zbl0153.07202MR36 #3730
  2. [2] CASSELS (J. W. S.).— An introduction to diophantine approximation.— Cambridge, Cambridge University Press, 1965 (Cambridge Tracts in Mathematics and mathematical Physics, 45). Zbl0077.04801
  3. [3] ERDÖS (P.).— Some results on diophantine approximation, Acta Arithm., Warszawa, t. 5, 1959, p. 359-369. Zbl0097.03502MR22 #12091
  4. [4] KESTEN (H.).— On a conjecture of Erdös and Szüsz related to uniform distribution mod 1, Acta Arithm., Warszawa, t. 12, 1966, p. 193-212. Zbl0144.28902MR35 #155
  5. [5] LANG (S.).— Asymptotic diophantine approximations, Proc. Nat. Acad. Sc. U.S.A., t. 55, 1966, p. 31-33. Zbl0135.10801MR32 #5594
  6. [6] LANG (S.).— Introduction to diophantine approximations.— Reading, Addison-Wesley publishing Company, 1966 (Addison-Wesley Series in Mathematics). Zbl0144.04005MR35 #129
  7. [7] LESCA (J.).— Sur les approximations diophantines à une dimension, Thèse Sc. math., Grenoble, 1968. 
  8. [8] LESCA (J.).— Sur la répartition mod 1 des suites (n alpha), Acta Arithm., Warzsawa, t. 20, 1972, p. 345-352). Zbl0239.10018MR46 #1723
  9. [9] LEVEQUE (W. J.).— On the frequency of small fractional parts in certain real sequences, III, J. für reine und angew. Math., t. 102, 1959, p. 215-220. Zbl0090.26102MR22 #12090
  10. [10] DE MATHAN (B.).— Approximations diophantiennes dans un corps local, Bull. Soc. math. France, Mémoire 21, 1970, 93 p. Zbl0221.10037MR43 #161
  11. [11] DE MATHAN (B.).— Un problème métrique d'approximation diophantienne, Bull. Soc. math. France, t. 99, 1971, p. 369-385. Zbl0225.10054MR46 #5259
  12. [12] PHILIPP (W.).— Some metrical theorems in number theory, Pacific J. Math., t. 20, 1967, p. 109-127. Zbl0144.04201MR34 #5755
  13. [13] REVERSAT (M.).— Approximations diophantiennes par les éléments de certaines suites, Thèse spécialité, Bordeaux, 1973 et Approximations diophantiennes et eutaxie (à paraître). 
  14. [14] REVERSAT (M.).— Les suites eutaxiques, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 15e année, 1973/74, n° 13, 10 p. Zbl0324.10050
  15. [15] SCHMIDT (W. M.).— A metrical theorem in diophantine approximation, Canad. J. Math., t. 12, 1960, p. 619-631. Zbl0097.26205MR22 #9482
  16. [16] SCHMIDT (W. M.).— Metrical theorems on fractional parts of sequences, Trans. Amer. math. Soc., t. 110, 1964, p. 493-518. Zbl0199.09402MR28 #3018
  17. [17] SWEET (M. M.).— A theorem in diophantine approximations, J. of Number Theory, t. 5, 1975, p. 245-251. Zbl0267.10044MR49 #2568

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.