Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Explicit Formula for Restricted Partition Function through Bernoulli
  Polynomials   Explicit expressions for restricted partition function $W(s,{\bf d}^m)$ and
its quasiperiodic components $W_j(s,{\bf d}^m)$ (called Sylvester waves) for a
set of positive integers ${\bf d}^m = \{d_1, d_2, ..., d_m\}$ are derived. The
formulas are represented in a form of a finite sum over Bernoulli polynomials
of higher order with periodic coefficients.

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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int