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

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

2009-07-24

arxiv.org/abs/0907.4384v2

Mathematics

Classical Analysis and ODEs

Since writing this note, I have been informed that the main theorem has already been proved: S\'andor, J.; T\'oth, L. A remark

Scientific paper

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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