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Metrical Diophantine approximation for quaternions

Published online by Cambridge University Press:  01 December 2014

MAURICE DODSON  and
BRENT EVERITT
MAURICE DODSON
Affiliation:
Department of Mathematics, University of York, York, YO10 5DD.
BRENT EVERITT
Affiliation:
Department of Mathematics, University of York, York, YO10 5DD.
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Abstract

Analogues of the classical theorems of Khintchine, Jarník and Jarník-Besicovitch in the metrical theory of Diophantine approximation are established for quaternions by applying results on the measure of general ‘lim sup’ sets.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 3 , November 2014 , pp. 513 - 542
Copyright
Copyright © Cambridge Philosophical Society 2014 

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References

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