Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier coefficients attached to small automorphic representations of
  ${\mathrm{SL}}_n(\mathbb{A})$   We show that Fourier coefficients of automorphic forms attached to minimal or
next-to-minimal automorphic representations of ${\mathrm{SL}}_n(\mathbb{A})$
are completely determined by certain highly degenerate Whittaker coefficients.
We give an explicit formula for the Fourier expansion, analogously to the
Piatetski-Shapiro-Shalika formula. In addition, we derive expressions for
Fourier coefficients associated to all maximal parabolic subgroups. These
results have potential applications for scattering amplitudes in string theory.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg