A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS

Stephen Harrap, Nikolay Moshchevitin

Type: Article

Publication Date: 2016-06-10

Citations: 7

DOI: https://doi.org/10.1017/s0017089516000203

Abstract

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.

Locations

Glasgow Mathematical Journal - View
arXiv (Cornell University) - View - PDF
Durham Research Online (Durham University) - View - PDF

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+	Badly Approximable Systems of Affine Forms	1999	Dmitry Kleinbock
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+	Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen	1924	A. Khintchine
+	The shrinking target property of irrational rotations	2007	Dong Han Kim
+	Badly approximable systems of linear forms	1969	Wolfgang M. Schmidt
+ PDF Chat	Best Diophantine approximations to a set of linear forms	1983	J. C. Lagarias