Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting irreducible polynomials with prescribed coefficients over a
  finite field   We continue our study on counting irreducible polynomials over a finite field
with prescribed coefficients. We set up a general combinatorial framework using
generating functions with coefficients from a group algebra which is generated
by equivalent classes of polynomials with prescribed coefficients. Simplified
expressions are derived for some special cases. Our results extend some earlier
results.

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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an