Badly approximable affine forms and Schmidt games
classification
🧮 math.NT
keywords
realaffineapproximablebadlyconstantexistsformsgames
read the original abstract
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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