An Ultrametric lethargy result and its application to p-adic number theory
Number Theory
2011-12-21 v3
Abstract
In this paper we show a lethargy result in the non-Arquimedian context, for general ultrametric approximation schemes and, as a consequence, we prove the existence of p-adic transcendental numbers whose best approximation errors by algebraic p-adic numbers of degree less than or equal to n decays slowly.
Keywords
Cite
@article{arxiv.1110.1459,
title = {An Ultrametric lethargy result and its application to p-adic number theory},
author = {J. M. Almira},
journal= {arXiv preprint arXiv:1110.1459},
year = {2011}
}
Comments
9 pages, Submitted to a Journal