paper

Cancellation of factorials

arXiv:math/0008017 · doi:10.1070/SM2001v192n08ABEH000588

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.

28 pages, AmSTeX (Russian); submitted for publication

Cancellation of factorials · wovepaper