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Multiplicative $p$-adic metric Diophantine approximation on manifolds and dichotomy of exponents (1906.09916v2)
Published 24 Jun 2019 in math.NT and math.DS
Abstract: In this paper we study $p$-adic Diophantine approximation on manifolds, specifically multiplicative Diophantine approximation on affine subspaces and a Diophantine dichotomy for analytic $p$-adic manifolds.