Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steinberg representation of GSp(4): Bessel models and integral
  representation of L-functions   We obtain explicit formulas for the test vector in the Bessel model and
derive the criteria for existence and uniqueness for Bessel models for the
unramified, quadratic twists of the Steinberg representation \pi of GSp(4,F),
where F is a non-archimedean local field of characteristic zero. We also give
precise criteria for the Iwahori spherical vector in \pi to be a test vector.
We apply the formulas for the test vector to obtain an integral representation
of the local L-function of \pi twisted by any irreducible, admissible
representation of GL(2,F). Together with results in \cite{Fu} and \cite{PS2},
we derive an integral representation for the global L-function of the
irreducible, cuspidal automorphic representation of GSp(4,A) obtained from a
Siegel cuspidal Hecke newform, with respect to a Borel congruence subgroup of
square-free level, twisted by any irreducible, cuspidal, automorphic
representation of GL(2,A). A special value result for this L-function in the
spirit of Deligne's conjecture is obtained.

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The categories of this paper are: hep-lat
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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: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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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: stat
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The categories of this paper are: dg-ga