Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
Number Theory
2011-09-30 v1 Dynamical Systems
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.
Cite
@article{arxiv.1109.6428,
title = {Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds},
author = {Amir Mohammadi and Alireza Salehi Golsefidy},
journal= {arXiv preprint arXiv:1109.6428},
year = {2011}
}