Dickinson, Detta and Hussain, Mumtaz
(2013)
The metric theory of mixed type linear forms.
International Journal of Number Theory, 9 (1).
pp. 77-90.
ISSN 1793-0421
Abstract
In this paper the metric theory of Diophantine approximation of linear forms that are of mixed type is investigated. Khintchine-Groshev theorems are established together with the Hausdorff measure generalizations. The latter includes the original dimension results obtained in [H. Dickinson, The Hausdorff dimension of sets arising in metric Diophantine approximation, Acta Arith. 68(2) (1994) 133-140] as special cases
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