Badly approximable affine forms and Schmidt games

Mathematics – Number Theory

Scientific paper

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6 pages

Scientific paper

For any real number \t, the set of all real numbers x for which there exists
a constant c(x) > 0 such that \inf_{p \in \ZZ} |\t q - x - p| \geq c(x)/|q| for
all q in \ZZ {0} is an 1/8-winning set.

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