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arxiv: math/0210349 · v1 · submitted 2002-10-22 · 🧮 math.NT

Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds

classification 🧮 math.NT
keywords approximationdiophantinemanifoldsnon-degeneratetheoremcompletesconvergencedivergence
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The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier results for convergence.

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