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arxiv: 1610.02161 · v1 · pith:7VVYNHMQnew · submitted 2016-10-07 · 🧮 math.NT · math.DS

On Diophantine transference principles

classification 🧮 math.NT math.DS
keywords diophantineinhomogeneoustransferenceaffineapproximationberesnevichboundsconnecting
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We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their nondegenerate submanifolds.

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