Successive Minima and Best Simultaneous Diophantine Approximations

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dc.creatorAliev, Iskander
dc.creatorHenk, Martin
dc.date2005-03-17
dc.date.accessioned2026-07-07T05:18:05Z
dc.date.available2026-07-07T05:18:05Z
dc.descriptionWe study the problem of best approximations of a vector $α\in{\mathbb R}^n$ by rational vectors of a lattice $Λ\subset {\mathbb R}^n$ whose common denominator is bounded. To this end we introduce successive minima for a periodic lattice structure and extend some classical results from geometry of numbers to this structure. This leads to bounds for the best approximation problem which generalize and improve former results.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0503365
dc.identifierhttp://arxiv.org/abs/math/0503365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74537
dc.subjectNumber Theory
dc.subject11J13; 11H06; 11H31; 52C07
dc.titleSuccessive Minima and Best Simultaneous Diophantine Approximations
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