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Mathematics  2011 

Metrical Diophantine approximation for quaternions

DOI: 10.1017/S0305004114000462

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Abstract:

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

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