Metrical theorems on systems of small inhomogeneous linear forms

Mumtaz Hussain, Simon Kristensen

Research output: Working paper/Preprint Working paperResearch

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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 languageEnglish
PublisherDepartment of Mathematics, Aarhus University
Number of pages21
Publication statusPublished - 2014
SeriesPreprints
Number1
ISSN1397-4076

Keywords

  • Diophantine approximation
  • systems of linear forms
  • absolute value

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