Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Fourier coefficients of Siegel modular forms of degree two with
  respect to congruence subgroups   We prove a formula of Petersson's type for Fourier coefficients of Siegel
cusp forms of degree 2 with respect to congruence subgroups, and as a
corollary, show upper bound estimates of individual Fourier coefficient. The
method in this paper is essentially a generalization of Kitaoka's previous work
which studied the full modular case, but some modification is necessary to
obtain estimates which are sharp with respect to the level aspect.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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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: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat