Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $\mathrm{G}_2$-period of a Fourier coefficient of an Eisenstein series
  on $\mathrm{E}_6$   We calculate a $\mathrm{G}_2$-period of a Fourier coefficient of a cuspidal
Eisenstein series on the split simply-connected group $\mathrm{E}_6$, and
relate this period to the Ginzburg-Rallis period of cusp forms on
$\mathrm{GL}_6$. This gives us a relation between the Ginzburg-Rallis period
and the central value of the exterior cube L-function of $\mathrm{GL}_6$

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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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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: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph