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

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.

arXiv commentformerly part of arXiv:1903.09362