Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gamma Factors of Distinguished Representations of GL_n(C)   Let $(\pi,V)$ be a $GL_n(\mathbb{R})$-distinguished, irreducible, admissible
representation of $GL_n(\mathbb{C})$, let $\pi'$ be an irreducible, admissible,
$GL_m(\mathbb{R})$-distinguished representation of $GL_m(\mathbb{C})$, and let
$\psi$ be a non-trival character of $\mathbb{C}$ which is trivial on
$\mathbb{R}$. We prove that Rankin-Selberg gamma factor at $s=\frac{1}{2}$ is
$\gamma(\frac{1}{2},\pi \times \pi'; \psi) = 1$. The result follows as a simple
consequence from the characterisation of $GL_n(\mathbb{R})$-distinguished
representations in terms of their Langlands data.

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con