Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean Value Theorems for L-functions over Prime Polynomials for the
  Rational Function Field   The first and second moments are established for the family of quadratic
Dirichlet $L$--functions over the rational function field at the central point
$s=\tfrac{1}{2}$ where the character $\chi$ is defined by the Legendre symbol
for polynomials over finite fields and runs over all monic irreducible
polynomials $P$ of a given odd degree. Asymptotic formulae are derived for
fixed finite fields when the degree of $P$ is large. The first moment obtained
here is the function field analogue of a result due to Jutila in the
number--field setting. The approach is based on classical analytical methods
and relies on the use of the analogue of the approximate functional equation
for these $L$--functions.

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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex