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arXiv · 0907.4384

A product of Gamma function values at fractions with the same denominator

Greg Martin
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Abstract

Let D(n) be the set of all fractions in the unit interval whose denominator in lowest terms equals $n$. We evaluate the product of the values of the Gamma function at the points of D(n), as a function of $n$; the answer depends on whether or not $n$ is a prime power.

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Greg Martin. 2009-12-14. A product of Gamma function values at fractions with the same denominator. https://arxiv.org/abs/0907.4384

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