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

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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

Item Type:	Article
Keywords:	Diophantine approximation; Hausdorff dimension; Hausdorff measure; system linear forms;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	4844
Identification Number:	https://doi.org/10.1142/S1793042112501278
Depositing User:	Dr. Detta Dickinson
Date Deposited:	25 Mar 2014 16:07
Journal or Publication Title:	International Journal of Number Theory
Publisher:	World Scientific Publishing
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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