Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions

Simple item page
dc.creatorBernik, V.
dc.creatorKleinbock, D.
dc.creatorMargulis, G. A.
dc.date2002-10-18
dc.date.accessioned2026-07-07T04:52:08Z
dc.date.available2026-07-07T04:52:08Z
dc.descriptionAn 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 geometry of lattices in Euclidean spaces.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0210298
dc.identifierhttp://arxiv.org/abs/math/0210298
dc.identifierInternat. Math. Res. Notices. 2001, no. 9, 453--486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65357
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11J83
dc.titleKhintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions
dc.typetext

Files

Collections

arXiv