%0 Journal Article %T Cancellation of factorials %A Wadim Zudilin %J Mathematics %D 2000 %I arXiv %R 10.1070/SM2001v192n08ABEH000588 %X 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. %U http://arxiv.org/abs/math/0008017v1