THE METRIC THEORY OF MIXED TYPE LINEAR FORMS

Autor:	Mumtaz Hussain, Detta Dickinson
Rok vydání:	2012
Předmět:	Discrete mathematics Pure mathematics Algebra and Number Theory Mathematics::Number Theory Minkowski–Bouligand dimension Dimension function Mathematics & Statistics Effective dimension Packing dimension Hausdorff distance Hausdorff dimension Outer measure Hausdorff measure Mathematics
Zdroj:	International Journal of Number Theory. :77-90
ISSN:	1793-7310 1793-0421
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80177fa161294696617a5bce4db1a593 https://doi.org/10.1142/s1793042112501278 Zobrazit plný text záznamu