Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum entropy and integer partitions   We derive asymptotic formulas for the number of integer partitions with given
sums of $j$th powers of the parts for $j$ belonging to a finite, non-empty set
$J \subset \mathbb N$. The method we use is based on the `principle of maximum
entropy' of Jaynes. This principle leads to an intuitive variational formula
for the asymptotics of the logarithm of the number of constrained partitions as
the solution to a convex optimization problem over real-valued functions.

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The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc