On a theorem of V. Bernik in the metrical theory of Diophantine approximation

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dc.creatorBeresnevich, Victor
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:20:34Z
dc.date.available2026-07-07T09:20:34Z
dc.descriptionThis paper goes back to a famous problem of Mahler in metrical Diophantine approximation. The problem has been settled by Sprindzuk and subsequently improved by Alan Baker and Vasili Bernik. In particular, Bernik's result establishes a convergence Khintchine type theorem for Diophantine approximation by polynomials, that is it allows arbitrary monotonic error of approximation. In the present paper the monotonicity assumption is completely removed.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0802.1910
dc.identifierhttp://arxiv.org/abs/0802.1910
dc.identifierActa Arith. 117 (2005), no. 1, 71-80
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154763
dc.subjectNumber Theory
dc.subjectProbability
dc.subject11J13, 11J83, 11K60
dc.titleOn a theorem of V. Bernik in the metrical theory of Diophantine approximation
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