Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distinction and Asai $L$-functions for generic representations of
  general linear groups over p-adic fields   Let $K/F$ be a quadratic extension of $p$-adic fields, and $n$ a positive
integer. A smooth irreducible representation of the group $GL(n,K)$ is said to
be distinguished, if it admits on its space a nonzero $GL(n,F)$-invariant
linear form. In the present work, we classify genric distinguished
representations of the group $GL(n,K)$ in terms of inducing
quasi-square-integrable representations. This has as a consequence the truth of
the expected equality between the Rankin-Selberg type Asai $L$-function of a
generic representation, and the Asai $L$-function of its Langlands parameter.

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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas