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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/4844 |
| 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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