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On Diophantine transference principles

arXiv:1610.02161 · doi:10.1017/S0305004118000014

Abstract

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.

arXiv admin note: text overlap with arXiv:0802.1837 by other authors