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arxiv: 1109.6428 · v1 · pith:ISA67JNGnew · submitted 2011-09-29 · 🧮 math.NT · math.DS

Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds

classification 🧮 math.NT math.DS
keywords p-adiccasemanifoldsnon-degenerateanalyticapproximationconvergencediophantine
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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.

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