Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Archimedean Local Gamma Factors for Adjoint Representation of
  $\mathrm{GL}_3$, Part I   Studying the analytic properties of the partial Langlands $L$-function via
Rankin-Selberg method has been proved to be successful in various cases. Yet in
few cases is the local theory studied at the archimedean places, which causes a
tremendous gap to complete the analytic theory of the complete $L$-function. In
this paper, we will establish the meromorphic continuation and the functional
equation of the archimedean local integrals associated with D. Ginzburg's
global integral for the adjoint representation of $\mathrm{GL}_3$. Via the
local functional equation, the local gamma factor
$\Gamma(s,\pi,\mathrm{Ad},\psi)$ can be defined. In a forthcoming paper, we
will compute the local gamma factor $\Gamma(s,\pi,\mathrm{Ad},\psi)$
explicitly, which fills in some blanks in the archimedean local theory of
Ginzburg's global integral.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con