English

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

Number Theory 2019-11-05 v2 Dynamical Systems

Abstract

In this paper we study pp-adic Diophantine approximation on manifolds, specifically multiplicative Diophantine approximation on affine subspaces and a Diophantine dichotomy for analytic pp-adic manifolds.

Keywords

Cite

@article{arxiv.1906.09916,
  title  = {Multiplicative $p$-adic metric Diophantine approximation on manifolds and dichotomy of exponents},
  author = {Shreyasi Datta and Anish Ghosh},
  journal= {arXiv preprint arXiv:1906.09916},
  year   = {2019}
}

Comments

formerly part of arXiv:1903.09362