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Metrical Diophantine approximation for quaternions
Published online by Cambridge University Press: 01 December 2014
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