Mumtaz Hussain, Jason Levesley
Published 2009-10-19Version 1
In this paper we investigate the metrical theory of Diophantine approximation associated with linear forms that are simultaneously small for infinitely many integer vectors; i.e. forms which are close to the origin. A complete Khintchine--Groshev type theorem is established, as well as its Hausdorff measure generalization. The latter implies the complete Hausdorff dimension theory.
On a theorem of V. Bernik in the metrical theory of Diophantine approximation
Metrical theory for $α$-Rosen fractions
Inhomogeneous Diophantine approximation on curves and Hausdorff dimension
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