N. G. Moshchevitin, “A note on badly approximable affine forms and winning sets”, Mosc. Math. J., 2011, Volume 11, Number 1,Pages <nobr>129

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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.

MSC: 11J20

Received: September 23, 2009; in revised form July 14, 2010

Language: English

DOI: 10.17323/1609-4514-2011-11-1-129-137