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• W2901443817 abstract "We solve the convergence case of the generalized Baker-Schmidt problem for simultaneous approximation on affine subspaces, under natural diophantine type conditions. In one of our theorems, we do not require monotonicity on the approximation function. In order to prove these results, we establish asymptotic formulae for the number of rational points close to an affine subspace. One key ingredient is a sharp upper bound on a certain sum of reciprocals of fractional parts associated with the matrix defining the affine subspace." @default.
• W2901443817 created "2018-11-29" @default.
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• W2901443817 date "2019-11-11" @default.
• W2901443817 modified "2023-09-24" @default.
• W2901443817 title "Simultaneous Approximation on Affine Subspaces" @default.
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• W2901443817 doi "https://doi.org/10.1093/imrn/rnz190" @default.
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