An Ultrametric lethargy result and its application to p-adic number theory

Details An Ultrametric lethargy result and its application to p-adic number theory An Ultrametric lethargy result and its application to p-adic number theory

2011-10-07

arxiv.org/abs/1110.1459v3

Mathematics

Number Theory

9 pages, Submitted to a Journal

Scientific paper

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.

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