Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Families of Congruences for Fractional Partition Functions Modulo Powers
  of Primes   Recently, Chan and Wang (Fractional powers of the generating function for the
partition function. Acta Arith. 187(1), 59--80 (2019)) studied the fractional
powers of the generating function for the partition function and found several
congruences satisfied by the corresponding coefficients. In this paper, we find
some new families of congruences modulo powers of primes. We also find
analogous results for the coefficients of the fractional powers of the
generating function for the 2-color partition function.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics