Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Period Relations for Standard $L$-functions of Symplectic Type   This article is to understand the critical values of $L$-functions
$L(s,\Pi\otimes \chi)$ and to establish the relation of the relevant global
periods at the critical places. Here $\Pi$ is an irreducible regular algebraic
cuspidal automorphic representation of $\mathrm{GL}_{2n}(\mathbb A)$ of
symplectic type and $\chi$ is a finite order automorphic character of
$\mathrm{GL}_1(\mathbb A)$, with $\mathbb A$ is the ring of adeles of a number
field $\mathrm k$.

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat