Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using GENERATINGFUNCTIONOLOGY to Enumerate Distinct-Multiplicity
  Partitions   This article, written in fond memory of Herbert Saul Wilf (June 13, 1931-
Jan. 7, 2012), explores integer partitions where each part shows up a different
number of times than the other parts (if it shows up at least once), thereby
making a modest contribution towards the solution of one of the eight
intrigiung problems posted by Herb Wilf on his website on Dec. 13, 2010

5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex