Maurice Dodson, Brent Everitt
Published 2011-09-15, updated 2014-10-17Version 4
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.
Comments: 30 pages. Some minor improvements
A note on zero-one laws in metrical Diophantine approximation
Weak Siegel-Weil formula for M_2(Q) and arithmetic on quaternions
Numbers represented by restricted sums of four squares
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