Alexander, Gorodnik ; A, Shah Nimish (2008) Khinchin theorem for integral points on quadratic varieties arxiv Eprints . pp. 1-19. ISSN 0804-3530
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Official URL: http://adsabs.harvard.edu/abs/2008arXiv0804.3530G
Abstract
We prove an analogue the Khinchin theorem for the Diophantine approximation by integer vectors lying on a quadratic variety. The proof is based on the study of a dynamical system on a homogeneous space of the orthogonal group. We show that in this system, generic trajectories visit a family of shrinking subsets infinitely often.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to arxiv publication. |
| Keywords: | Mathematics; Number Theory; Mathematics; Representation Theory; 11J83; 22E40 |
| ID Code: | 53450 |
| Deposited On: | 27 Dec 2011 13:55 |
| Last Modified: | 27 Dec 2011 13:55 |
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