journal article
Jan 01, 2000
On a problem in simultaneous diophantine approximation: Littlewood's conjecture
Topics
No keywords indexed for this article. Browse by subject →
References
12
[1]
Cassels, J. W. S. &Swinnerton-Dyer, H. P. F., On the product of three homogeneous linear forms and the indefinite ternary quadratic forms.Philos. Trans. Roy. Soc. London Ser. A, 248 (1955), 73–96.
10.1098/rsta.1955.0010
[2]
Falconer, K.,Fractal Geometry: Mathematical Foundations and Applications, Wiley, Chichester, 1990.
[3]
Gallagher, P., Metric simultaneous Diophantine approximation.J. London Math. Soc., 37 (1962), 387–390.
10.1112/jlms/s1-37.1.387
[4]
Hardy, G. H. &Wright, E. M.,An Introduction to the Theory of Numbers. The Clarendon Press, Oxford Univ. Press, New York, 1979.
[5]
Jarník, I., Zur metrischen Theorie der diophantischen Approximationen.Proc. Mat. Fyz., 36 (1928), 91–106.
[6]
Kaufman, R., Continued fractions and Fourier transforms.Mathematika, 27 (1980), 262–267.
10.1112/s0025579300010147
[7]
Mattila, P.,Geometry of Sets and Measures in Euclidean Spaces. Cambridge Stud. Adv. Math., 44. Cambridge Univ. Press, Cambridge, 1995.
10.1017/cbo9780511623813
[8]
Peck, L. G., Simultaneous rational approximations to algebraic numbers.Bull. Amer. Math. Soc., 67 (1961), 197–201.
10.1090/s0002-9904-1961-10565-x
[9]
Pollington, A. D., On the density of sequence {nk§}.Illinois J. Math., 23 (1979), 237–241.
10.1215/ijm/1256047933
[10]
Rauzy, G.,Propriétés statistiques de suites arithmétiques. Le Mathématicien, 15. Collection SUP. Presses Universitaires de France, Paris, 1976.
[11]
Schmidt, W. M.,Diophantine Approximation. Lecture Notes in Math., 785. Springer-Verlag, Berlin, 1980.
[12]
Sprindžuk, V. G.,Metric Theory of Diophantine Approximations (translated and edited by R. A. Silverman). Scripta Series in Mathematics. V. H. Winston & Sons, Washington, D. C., 1979.
Metrics
28
Citations
12
References
Details
- Published
- Jan 01, 2000
- Vol/Issue
- 185(2)
- Pages
- 287-306
Cite This Article
Andrew D. Pollington, Sanju L. Velani (2000). On a problem in simultaneous diophantine approximation: Littlewood's conjecture. Acta Mathematica, 185(2), 287-306. https://doi.org/10.1007/bf02392812
Related
You May Also Like
Sur les fonctions convexes et les inégalités entre les valeurs moyennes
J. L. W. V. Jensen · 1906
1,371 citations
Wave breaking for nonlinear nonlocal shallow water equations
Adrian Constantin, Joachim Escher · 1998
1,200 citations