Metrical Diophantine approximation for quaternions

Details Metrical Diophantine approximation for quaternions Metrical Diophantine approximation for quaternions

2011-09-15

arxiv.org/abs/1109.3229v2

Mathematics

Number Theory

26 pages. A number of improvements to version 1

Scientific paper

The metrical theory of Diophantine approximation for quaternions is developed
using recent results in the general theory. In particular, Quaternionic
analogues of the classical theorems of Khintchine, Jarnik and
Jarnik-Besicovitch are established.

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