An elementary proof of the irrationality of Tschakaloff series
Number Theory
2009-02-24 v1 Classical Analysis and ODEs
Abstract
We present a new proof of the irrationality of values of the series in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to .
Cite
@article{arxiv.math/0506086,
title = {An elementary proof of the irrationality of Tschakaloff series},
author = {Wadim Zudilin},
journal= {arXiv preprint arXiv:math/0506086},
year = {2009}
}
Comments
5 pages, AMSTeX