Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a theta product of Jacobi and its applications to $q$-gamma products   We give a new proof for a product formula of Jacobi which turns out to be
equivalent to a $q$-trigonometric product which was stated without proof by
Gosper. We apply this formula to derive a $q$-analogue for the Gauss
multiplication formula for the gamma function. Furthermore, we give explicit
formulas for short products of $q$-gamma functions.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph