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Mosc. Math. J., 2002, Volume 2, Number 2, Pages 203–225 (Mi mmj53)  

This article is cited in 43 scientific papers (total in 43 papers)

Metric Diophantine Approximation: The Khintchine–Groshev Theorem for Nondegenerate Manifolds

V. V. Beresnevicha, V. I. Bernika, D. Ya. Kleinbockb, G. A. Margulisc

a Institute of Mathematics, National Academy of Sciences of the Republic of Belarus
b Brandeis University
c Yale University

Abstract: The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Diophantine approximation on nondegenerate manifolds, which completes earlier results for convergence.

Key words and phrases: Diophantine approximation, Khintchine type theorems, metric theory of Diophantine approximation.


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MSC: Primary 11J83; Secondary 11K60
Received: January 30, 2002; in revised form April 11, 2002

Citation: V. V. Beresnevich, V. I. Bernik, D. Ya. Kleinbock, G. A. Margulis, “Metric Diophantine Approximation: The Khintchine–Groshev Theorem for Nondegenerate Manifolds”, Mosc. Math. J., 2:2 (2002), 203–225

Citation in format AMSBIB
\by V.~V.~Beresnevich, V.~I.~Bernik, D.~Ya.~Kleinbock, G.~A.~Margulis
\paper Metric Diophantine Approximation: The Khintchine--Groshev Theorem for Nondegenerate Manifolds
\jour Mosc. Math.~J.
\yr 2002
\vol 2
\issue 2
\pages 203--225

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    This publication is cited in the following articles:
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