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This article is cited in 18 scientific papers (total in 18 papers)
A note on badly approximable affine forms and winning sets
N. G. Moshchevitin Dept. Number Theory, Fac. Mathematics and Mechanics, Moscow Lomonosov State University, Moscow, Russia
Abstract:
We prove a result on inhomogeneous Diophantine approximations related to the theory of $(\alpha,beta)$-games.
Key words and phrases:
Diophantine approximations, inhomogeneous linear forms, Schmidt's games.
Received: September 23, 2009; in revised form July 14, 2010
Citation:
N. G. Moshchevitin, “A note on badly approximable affine forms and winning sets”, Mosc. Math. J., 11:1 (2011), 129–137
Linking options:
https://www.mathnet.ru/eng/mmj413 https://www.mathnet.ru/eng/mmj/v11/i1/p129
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Abstract page: | 388 | References: | 87 |
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