Cancellation of factorials
Number Theory
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We study the arithmetic property which allows to sharpen number-theoretic estimates. Previous results on this property are, as a rule, quantitive. The application of our general qualitive theorems to generalized hypergeometric functions extends the set of irrational numbers which are the values of these functions.
Cite
@article{arxiv.math/0008017,
title = {Cancellation of factorials},
author = {Wadim Zudilin},
journal= {arXiv preprint arXiv:math/0008017},
year = {2007}
}
Comments
28 pages, AmSTeX (Russian); submitted for publication