Best Simultaneous Diophantine Approximations under a Constraint on the Denominator

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dc.creatorAliev, Iskander
dc.creatorGruber, Peter
dc.date2005-10-08
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:47:14Z
dc.date.available2026-07-07T06:47:14Z
dc.descriptionWe investigate the problem of best simultaneous Diophantine approximation under a constraint on the denominator, as proposed by Jurkat. New lower estimates for optimal approximation constants are given in terms of critical determinants of suitable star bodies. Tools are results on simultaneous Diophantine approximation of rationals by rationals with smaller denominator. Finally, the approximation results are applied to the decomposition of integer vectors.
dc.description17 pages, corrected typos
dc.identifierhttps://arxiv.org/abs/math/0510164
dc.identifierhttp://arxiv.org/abs/math/0510164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103591
dc.subjectNumber Theory
dc.subject11J13; 11H06; 52C07
dc.titleBest Simultaneous Diophantine Approximations under a Constraint on the Denominator
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