Abstract
In this paper we investigate the metrical structure of the set of all points $X\in\mathbb{R}^n$ which satisfy a simultaneously small system of Diophantine inequalities for infinitely many integer vectors. We establish the complete metric theory for the given system which implies a general Khintchine--Groshev type theorem, as well as its Hausdorff measure generalization. The latter includes the original dimension results obtained in [5] as special cases.
Citation
Mumtaz Hussain. Jason Levesley. "The metrical theory of simultaneously small linear forms." Funct. Approx. Comment. Math. 48 (2) 167 - 181, June 2013. https://doi.org/10.7169/facm/2013.48.2.1
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