Cancellation of factorials

Details Cancellation of factorials Cancellation of factorials

2000-08-02

arxiv.org/abs/math/0008017v1

Mat. Sb. 192:8 (2001), 95--122 (Russian); English transl., Sb. Math. 192:8 (2001), 1181--1207

Mathematics

Number Theory

28 pages, AmSTeX (Russian); submitted for publication

Scientific paper

10.1070/SM2001v192n08ABEH000588

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.

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