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arXiv · 1109.6428

Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds

Amir Mohammadi·Alireza Salehi Golsefidy
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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.

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Amir Mohammadi, Alireza Salehi Golsefidy. 2011-09-29. Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds. https://arxiv.org/abs/1109.6428

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