Cancellation of factorials
Abstract
An arithmetical property allowing an improvement of some numbertheoretic estimates is studied. Previous results were mostly qualitative. Application of quantitative results of the paper to the class of generalized hypergeometric Gfunctions extends the set of irrational numbers representable as values of these functions.
 Publication:

Sbornik: Mathematics
 Pub Date:
 August 2001
 DOI:
 10.1070/SM2001v192n08ABEH000588
 arXiv:
 arXiv:math/0008017
 Bibcode:
 2001SbMat.192.1181Z
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Classical Analysis and ODEs;
 11J82;
 33C20 (Primary);
 11C;
 05A10
 EPrint:
 28 pages, AmSTeX (Russian)