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1 research outcomes, page 1 of 1
  • publication . Article . Preprint . 2002
    Open Access English
    Bernik, V.; Kleinbock, D.; Margulis, G. A.;
    Project: NSF | Arithmetic, Geometric, an... (9800607), NSF | Flows on Homogeneous Spac... (9704489)

    An analogue of the convergence part of the Khintchine-Groshev theorem, as well as its multiplicative version, is proved for nondegenerate smooth submanifolds in $\mathbb{R}^n$. The proof combines methods from metric number theory with a new approach involving the geomet...

1 research outcomes, page 1 of 1