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arXiv · 1109.3229

Metrical Diophantine approximation for quaternions

Maurice Dodson·Brent Everitt
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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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Maurice Dodson, Brent Everitt. 2014-10-17. Metrical Diophantine approximation for quaternions. https://doi.org/10.1017/s0305004114000462

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