Badly approximable affine forms and Schmidt games

Jimmy Tseng*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

22 Citations (Scopus)


For any real number Θ, the set of all real numbers x for which there exists a constant c(x) > 0 such that inf p∈(|Θq - x- p|≥ c(x)/|q| for all p∈(\{0} is a 1/8-winning set.

Original languageEnglish
Pages (from-to)3020-3025
Number of pages6
JournalJournal of Number Theory
Issue number12
Publication statusPublished - Dec 2009


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