Metrical Diophantine approximation for quaternions

MAURICE DODSON, BRENT EVERITT
2014 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
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.
doi:10.1017/s0305004114000462 fatcat:qrta3oacmjbqnjeuue4ehoynxy