AbstractThe theory of inhomogeneous Diophantine approximation

LeBron played defense at a high level for several years, including in the playoffs and the Finals. He also has 3 titles. Harden has never played defense at a high level, and his team hasn made the Finals since he left OKC. AbstractThe theory of inhomogeneous Diophantine approximation on manifolds is developed. In particular, the notion of nice manifolds is introduced and the divergence part of the Groshev type theory is established for all such manifolds. Our results naturally incorporate and generalize the homogeneous measure and dimension theorems for non degenerate manifolds established to date.

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