Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinants with Bernoulli polynomials and the restricted partition
  function   Let $r\geq 1$ be an integer, $\mathbf a=(a_1,\ldots,a_r)$ a vector of
positive integers and let $D\geq 1$ be a common multiple of $a_1,\ldots,a_r$.
We study two natural determinants of order $rD$ with Bernoulli polynomials and
we present connections with the restricted partition function $p_{\mathbf
a}(n):=$ the number of integer solutions $(x_1,\dots,x_r)$ to $\sum_{j=1}^r
a_jx_j=n$ with $x_1\geq 0, \ldots, x_r\geq 0$.

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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom