Metrical theorems on systems of small inhomogeneous linear forms

By Mumtaz Hussain and Simon Kristensen
Preprints
No. 01, June 2014
Abstract:

In this paper we establish complete Khintchine--Groshev and Schmidt type theorems for inhomogeneous small linear forms in the so-called doubly metric case, in which the inhomogeneous parameter is not fixed.

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

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