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arxiv: math/0008017 · v1 · submitted 2000-08-02 · 🧮 math.NT · math.CA

Cancellation of factorials

classification 🧮 math.NT math.CA
keywords functionspropertyallowsapplicationarithmeticcancellationestimatesextends
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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.

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