Proves homogeneous p-adic convergence for dual Diophantine approximation on hypersurfaces of dimension >=3 with mild regularity and some other manifolds; weaker inhomogeneous results.
Beresnevich, A Groshev type theorem for convergence on manifolds , Acta Math
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Dual $p$-adic Diophantine approximation on manifolds
Proves homogeneous p-adic convergence for dual Diophantine approximation on hypersurfaces of dimension >=3 with mild regularity and some other manifolds; weaker inhomogeneous results.