Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Shalika Periods and a Theorem of Jacquet-Martin   Let \pi be a cuspidal automorphic representation of GL_4 with central
character \mu^2. It is known that \pi has Shalika period with respect to \mu if
and only if the L-function L^S(s, \pi, \bigwedge^2\otimes\mu^{-1}) has a pole
at s=1. Recentlt, Jacquet and Martin considered the analogous question for
cuspidal representations \pi_D of the inner form GL_2(D)(\A), and obtained a
partial result via the relative trace formula. In this paper, we provide a
complete solution to this problem via the method of theta correspondence, and
give necessary and sufficient conditions for the existence of Shalika period
for \pi_D. We also resolve the analogous question in the local setting.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph