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Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds (1109.6428v1)
Published 29 Sep 2011 in math.NT and math.DS
Abstract: S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the p-adic case the divergence part is also obtained.