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arXiv · 1906.09916

Multiplicative $p$-adic metric Diophantine approximation on manifolds and dichotomy of exponents

Shreyasi Datta·Anish Ghosh
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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.

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Shreyasi Datta, Anish Ghosh. 2019-06-24. Multiplicative $p$-adic metric Diophantine approximation on manifolds and dichotomy of exponents. https://arxiv.org/abs/1906.09916

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