Diophantine approximations on definable sets

Consider the vanishing locus of a real analytic function on R n restricted to [ 0 , 1 ] n . We bound the number of rational points of bounded height that approximate this set very well. Our result is formulated and proved in the context of o-minimal structures which give a general framework to work...

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Veröffentlicht in:	Selecta mathematica (Basel, Switzerland) Switzerland), 2018-04, Vol.24 (2), p.1633-1675
1. Verfasser:	Habegger, P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic functions Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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