Metrical theorems on systems of small inhomogeneous linear forms

Mumtaz Hussain; Simon Kristensen

Metrical theorems on systems of small inhomogeneous linear forms

Mumtaz Hussain, Simon Kristensen

Department of Mathematics

Research output: Working paper/Preprint › Working paper › Research

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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.

Original language	English
Publisher	Department of Mathematics, Aarhus University
Number of pages	21
Publication status	Published - 2014

Series	Preprints
Number	1
ISSN	1397-4076

Keywords

Diophantine approximation
systems of linear forms
absolute value

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math-pp-2014-01Submitted manuscript, 420 KB

http://math.au.dk/publs?publid=1009

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KW - Diophantine approximation

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KW - absolute value

M3 - Working paper

T3 - Preprints

BT - Metrical theorems on systems of small inhomogeneous linear forms

PB - Department of Mathematics, Aarhus University

ER -

Metrical theorems on systems of small inhomogeneous linear forms

Abstract

Keywords

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