Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A product of Gamma function values at fractions with the same
  denominator   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.

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol