Metrical results on systems of small linear forms

M. Hussain; S. Kristensen

doi:10.1142/S1793042112501606

Metrical results on systems of small linear forms

Department of Mathematics

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11 Citations (Scopus)

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 approximation function.

Original language	English
Journal	International Journal of Number Theory
Volume	9
Issue	3
Pages (from-to)	769-782
Number of pages	14
ISSN	1793-0421
DOIs	https://doi.org/10.1142/S1793042112501606
Publication status	Published - May 2013

Keywords

absolute value
Diophantine approximation
systems of linear forms

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10.1142/S1793042112501606

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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 approximation function.",

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year = "2013",

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AU - Kristensen, S.

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KW - absolute value

KW - Diophantine approximation

KW - systems of linear forms

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JO - International Journal of Number Theory

JF - International Journal of Number Theory

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Metrical results on systems of small linear forms

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