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arXiv:1309.5154 [math.NT]AbstractReferencesReviewsResources

Diophantine properties of continued fractions on the Heisenberg group

Joseph Vandehey

Published 2013-09-20, updated 2014-08-11Version 2

We provide several results on the diophantine properties of continued fractions on the Heisenberg group, many of which are analogous to classical results for real continued fractions. In particular, we show an analog of Khinchin's theorem and that convergents are also best approximants up to a constant factor of the denominator.

Comments: 14 pages
Categories: math.NT
Subjects: 11J70, 11A55
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