The Minkowski chain and Diophantine approximation

Author:

Andersen Nickolas,Duke William

Publisher

Cellule MathDoc/CEDRAM

Subject

Algebra and Number Theory

Reference29 articles.

1. [1] Bugeaud, Yann On simultaneous rational approximation to a real number and its integral powers, Ann. Inst. Fourier, Volume 60 (2010) no. 6, pp. 2165-2182

2. [2] Cassels, J. W. S. An introduction to the geometry of numbers, Grundlehren der Mathematischen Wissenschaften, Volume 99, Springer, 1959, viii+344 pages

3. [3] Cheung, Yitwah Hausdorff dimension of the set of singular pairs, Ann. Math., Volume 173 (2011) no. 1, pp. 127-167

4. [4] Cheung, Yitwah; Chevallier, Nicolas Hausdorff dimension of singular vectors, Duke Math. J., Volume 165 (2016) no. 12, pp. 2273-2329

5. [5] Dani, Shrikrishna G. Divergent trajectories of flows on homogeneous spaces and Diophantine approximation, J. Reine Angew. Math., Volume 359 (1985), pp. 55-89

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