A note on weighted badly approximable linear forms

Harrap, S.; Moshchevitin, N.

doi:10.1017/s0017089516000203

A note on weighted badly approximable linear forms

Harrap, S.; Moshchevitin, N.

Authors

Dr Stephen Harrap s.g.harrap@durham.ac.uk
Assistant Professor

N. Moshchevitin

Abstract

We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give an affirmative answer to the analogue in this setting of a famous conjecture of Schmidt from Diophantine approximation.

Citation

Harrap, S., & Moshchevitin, N. (2017). A note on weighted badly approximable linear forms. Glasgow Mathematical Journal, 59(2), 349-357. https://doi.org/10.1017/s0017089516000203

Journal Article Type	Article
Online Publication Date	Jun 10, 2016
Publication Date	May 1, 2017
Deposit Date	Dec 30, 2015
Publicly Available Date	Dec 14, 2016
Journal	Glasgow Mathematical Journal
Print ISSN	0017-0895
Electronic ISSN	1469-509X
Publisher	Cambridge University Press
Peer Reviewed	Peer Reviewed
Volume	59
Issue	2
Pages	349-357
DOI	https://doi.org/10.1017/s0017089516000203
Related Public URLs	http://arxiv.org/abs/1501.04433

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Copyright Statement
This article has been published in a revised form in Glasgow mathematical journal https://doi.org/10.1017/S0017089516000203. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Glasgow Mathematical Journal Trust 2016