Metrical Diophantine approximation for quaternions

Maurice Dodson; Brent Everitt

doi:10.1017/S0305004114000462

Metrical Diophantine approximation for quaternions

Maurice Dodson, Brent Everitt

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	513-542
Number of pages	30
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	157
Issue number	3
DOIs	https://doi.org/10.1017/S0305004114000462
Publication status	Published - Nov 2014

Bibliographical note

(c) Cambridge Philosophical Society 2014. This is an author produced version of a paper published in Mathematical Proceedings of the
Cambridge Philosophical Society. Uploaded in accordance with the publisher's self-archiving policy.

Access to Document

10.1017/S0305004114000462

dodson_everitt_final2
(c) Cambridge Philosophical Society 2014. This is an author produced version of a paper published in Mathematical Proceedings of the Cambridge Philosophical Society. Uploaded in accordance with the publisher's self-archiving policy.
Accepted author manuscript, 479 KB

http://arxiv.org/abs/1109.3229

Cite this

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