A note on weighted badly approximable linear forms

Harrap, S.; Moshchevitin, N.

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
• Public URL: https://durham-repository.worktribe.com/output/1424282
• Related Public URLs: http://arxiv.org/abs/1501.04433