Voir la notice de l'article provenant de la source Cambridge University Press
HARRAP, STEPHEN; MOSHCHEVITIN, NIKOLAY. A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 349-357. doi: 10.1017/S0017089516000203
@article{10_1017_S0017089516000203,
author = {HARRAP, STEPHEN and MOSHCHEVITIN, NIKOLAY},
title = {A {NOTE} {ON} {WEIGHTED} {BADLY} {APPROXIMABLE} {LINEAR} {FORMS}},
journal = {Glasgow mathematical journal},
pages = {349--357},
year = {2017},
volume = {59},
number = {2},
doi = {10.1017/S0017089516000203},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000203/}
}
TY - JOUR AU - HARRAP, STEPHEN AU - MOSHCHEVITIN, NIKOLAY TI - A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS JO - Glasgow mathematical journal PY - 2017 SP - 349 EP - 357 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000203/ DO - 10.1017/S0017089516000203 ID - 10_1017_S0017089516000203 ER -
%0 Journal Article %A HARRAP, STEPHEN %A MOSHCHEVITIN, NIKOLAY %T A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS %J Glasgow mathematical journal %D 2017 %P 349-357 %V 59 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000203/ %R 10.1017/S0017089516000203 %F 10_1017_S0017089516000203
[1] 1. , Badziahin-Pollington-Velani's theorem and Schmidt's game, Bull. London Math. Soc. 45 (4) (2013), 721–733. Google Scholar | DOI
[2] 2. , 2 dimensional badly approximable vectors and Schmidt's game, Duke Math. J. 165 (2) (2016), 267–284. Google Scholar | DOI
[3] 3. , and , On a problem in simultaneous Diophantine approximations: Schmidt's conjecture, Ann. Math. 174 (3) (2011), 1837–1883. Google Scholar | DOI
[4] 4. , , and , On shrinking targets for m actions on tori, Mathematika 56 (2) (2010), 193–202. Google Scholar | DOI
[5] 5. and , Exponents of homogeneous and inhomogeneous Diophantine approximation, Moscow Math. J. 5 (2005), 747–766. Google Scholar | DOI
[6] 6. , An introduction to Diophantine approximation, Cambridge Tracts in Math., vol. 45 (Cambridge University Press, Cambridge, 1957). Google Scholar
[7] 7. , A note on Diophantine approximation II, Mathematika 11 (1964), 50–58. Google Scholar | DOI
[8] 8. and , Badly approximable systems of affine forms, fractals, and Schmidt games, J. Reine Angew. Math. 2011 (660) (2011), 83–97. Google Scholar | DOI
[9] 9. , Twisted inhomogeneous Diophantine approximation and badly approximable sets, Acta Arith. 151 (2012), 55–82. Google Scholar | DOI
[10] 10. , Einige Sátze šber Kettenbrúche, mit Anwendungen auf die Theorie der Diophantischen Approximationen, Math. Ann. 92 (1924), 115–125. Google Scholar | DOI
[11] 11. , The shrinking target property of irrational rotations, Nonlinearity 20 (7) (2007), 1637–1643. Google Scholar | DOI
[12] 12. , Badly approximable systems of affine forms, J. Number Theory 79 (1999), 83–102. Google Scholar | DOI
[13] 13. and , Modified Schmidt games and Diophantine approximation with weights, Adv. Math. 223 (2010), 1276–1298. Google Scholar | DOI
[14] 14. , Näherungsweise ganzzahlige Auflösung linearer Gleichungen (reprinted in Werke, B. G. Teubner, Leipzig, 1930). Google Scholar
[15] 15. , Best Diophantine approximations to a set of linear forms, J. Austral. Math. Soc. Ser. A 34 (1983), 114–122. Google Scholar | DOI
[16] 16. , A note on badly approximable affine forms and winning sets, Mosc. Math. J. 11 (1) (2011), 129–137. Google Scholar | DOI
[17] 17. , On Harrap's conjecture in Diophantine approximation. Preprint available at arXiv:1204.2561 (2012). Google Scholar
[18] 18. and , On simultaneously badly approximable pairs, J. London Math. Soc. 66 (2002), 29–40. Google Scholar | DOI
[19] 19. , On badly approximable numbers and certain games, Trans. Amer. Math. Soc. 623 (1966), 178–199. Google Scholar | DOI
[20] 20. , Badly approximable systems of linear forms, J. Number Theory 1 (1969), 139–154. Google Scholar | DOI
[21] 21. , Open problems in Diophantine approximation, in Approximations diophantiennes et nombres transcendants (Luminy, 1982), Prog. Math., vol. 31 (Bertrand, D. and Waldschmidt, M., Editors) (Birkháuser, Basel, 1983), 271–287. Google Scholar
[22] 22. , Badly approximable affine forms and Schmidt games, J. Number Theory 129 (2009), 3020–3025. Google Scholar | DOI
[23] 23. , Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (3) (1916), 313–352. Google Scholar | DOI
Cité par Sources :