Cancellation of factorials

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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

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Number Theory, Classical Analysis and ODEs, 11J82, 33C20 (Primary), 11C, 05A10

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http://salesiana.dossiersoluciones.com/handle/123456789/98190

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008017
 http://arxiv.org/abs/math/0008017
 Mat. Sb. 192:8 (2001), 95--122 (Russian); English transl., Sb. Math. 192:8 (2001), 1181--1207
 doi:10.1070/SM2001v192n08ABEH000588

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arXiv