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- W2891633805 abstract "We consider approximation of vectors $mathbf{z}in Fotimesmathbb{R}congmathbb{R}^rtimesmathbb{C}^s$ by elements of a number field $F$ and construct examples of badly approximable vectors. These examples come from compact subspaces of $SL_2(mathcal{O}_F)backslash SL_2(Fotimesmathbb{R})$ naturally associated to (totally indefinite, anisotropic) $F$-rational binary quadratic and Hermitian forms, a generalization of the well-known fact that quadratic irrationals are badly approximable over $mathbb{Q}$." @default.
- W2891633805 created "2018-09-27" @default.
- W2891633805 creator A5017519676 @default.
- W2891633805 date "2018-09-19" @default.
- W2891633805 modified "2023-09-27" @default.
- W2891633805 title "Examples of badly approximable vectors over number fields" @default.
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