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A Groshev type theorem for convergence on manifolds

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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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
Institution: The University of York
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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