Aarhus University Seal / Aarhus Universitets segl

Metrical results on systems of small linear forms

By M. Hussain and S. Kristensen
Preprints
No. 01, January 2012
Abstract:

In this paper the metric theory of Diophantine approximation associated with the small linear forms is investigated. Khintchine--Groshev theorems are established along with Hausdorff measure generalization without the monotonic assumption on the approximating function.

2000 Mathematics Subject Classification: 11J83.

Keywords and phrases: Diophantine approximation; systems of linear forms; absolute value

Format available: PDF (423.1 kb)