Simultaneous Diophantine Approximation: Searching for Analogues of Hurwitz’s Theorem

Werner Georg Nowak ()
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Werner Georg Nowak: Institute of Mathematics

A chapter in Essays in Mathematics and its Applications, 2016, pp 181-197 from Springer

Abstract: Abstract Hurwitz’s classic theorem of Diophantine approximation tells us that for any irrational number α, there exist infinitely many reduced fractions p∕q so that $$\vert \alpha - p/q\vert

Keywords: Convex Body; Star Body; Sharp Lower Bound; Simultaneous Diophantine Approximation; Explicit Lower Bound (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31338-2_9

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DOI: 10.1007/978-3-319-31338-2_9

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