Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Degenerate Residual Spectrum of Quasi-Split Forms of $Spin_8$
  Associated to the Heisenberg Parabolic Subgroup   In \cite{MR3284482} and \cite{MR3658191}, the twisted standard
$\mathcal{L}$-function $\mathcal{L}(s,\pi,\chi,st)$ of a cuspidal
representation $ \pi$ of the exceptional group of type $G_2$ was shown to be
represented by a family of new-way Rankin-Selberg integrals. These integrals
connect the analytic behaviour of $\mathcal{L}(s,\pi,\chi,st)$ with that of a
family of degenerate Eisenstein series $\mathcal{E}_E(\chi, f_s, s, g)$ on
quasi-split forms $H_E$ of $Spin_8$, induced from Heisenberg parabolic
subgroups. The analytic behaviour of the series $\mathcal{E}_E(\chi, f_s, s,
g)$ in the right half-plane $Re(s)>0$ was studied in \cite{SegalEisen}. In this
paper we study the residual representations associated with
$\mathcal{E}_E(\chi, f_s, s, g)$.

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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: cs