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• W3036262748 abstract "Point counting estimates are a key stepping stone to various results in metric Diophantine approximation. In this paper we use the quantitative non-divergence estimates originally developed by Kleinbock and Margulis to improve lower bounds by Bernik, Gotze et al. for the number of points with algebraic conjugate coordinates close to a given manifold. In the process, we also improve on a Khinchin-Groshev-type theorem for a problem of constrained approximation by polynomials." @default.
• W3036262748 created "2020-06-25" @default.
• W3036262748 creator A5039575919 @default.
• W3036262748 date "2020-06-18" @default.
• W3036262748 modified "2023-09-27" @default.
• W3036262748 title "Quantitative non-divergence and lower bounds for points with algebraic coordinates near manifolds" @default.
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• W3036262748 hasPublicationYear "2020" @default.
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