Metrical Diophantine approximation for quaternions
classification
🧮 math.NT
keywords
approximationdiophantinemetricalquaternionsanaloguesapplyingclassicalestablished
read the original 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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