Beresnevich, V. (2004) A Groshev type theorem for convergence on manifolds. Acta Mathematica Hungarica, 94 (1-2). pp. 99-130. ISSN 1588-2632
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Published Version: http://dx.doi.org/10.1023/A:1015662722298
Abstract
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analogue of the Khintchine–Groshev theorem. The problem we consider was first posed by A. Baker [1] for the rational normal curve. The non-degenerate manifolds form a large class including any connected analytic manifold which is not contained in a hyperplane. We also present a new approach which develops the ideas of Sprindzuk"s classical method of essential and inessential domains first used by him to solve Mahler"s problem
| Item Type: | Article |
|---|---|
| Academic Units: | The University of York > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 12 Aug 2009 15:13 |
| Last Modified: | 12 Aug 2009 15:13 |
| Published Version: | http://dx.doi.org/10.1023/A:1015662722298 |
| Status: | Published |
| Publisher: | Akademiai Kiado |
| Identification Number: | 10.1023/A:1015662722298 |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/5540 |
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