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- W2951938078 abstract "For any $i,j ge 0$ with $i+j =1$, let $bad(i,j)$ denote the set of points $(x,y) in R^2$ for which $ max {|qx|^{1/i}, |qy|^{1/j} } > c/q $ for all $ q in N $. Here $c = c(x,y)$ is a positive constant. Our main result implies that any finite intersection of such sets has full dimension. This settles a conjecture of Wolfgang M. Schmidt in the theory of simultaneous Diophantine approximation." @default.
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- W2951938078 date "2010-01-15" @default.
- W2951938078 modified "2023-09-27" @default.
- W2951938078 title "On a problem in simultaneous Diophantine approximation: Schmidt's conjecture" @default.
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