Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local spectral equidistribution for Siegel modular forms and
  applications   We study the distribution, in the space of Satake parameters, of local
components of Siegel cusp forms of genus 2 and growing weight, subject to a
specific weighting which allows us to apply results concerning Bessel models
and a variant of Petersson's formula. We obtain for this family a quantitative
local equidistribution result, and derive a number of consequences. In
particular, we show that the computation of the density of low-lying zeros of
the spinor L-functions (for restricted test functions) gives global evidence
for a well-known conjecture of B\"ocherer concerning the arithmetic nature of
Fourier coefficients of Siegel cusp forms.

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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con