Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Fourier coefficients of certain residual representations of
  symplectic groups   In the theory of automorphic descents developed by Ginzburg, Rallis and
Soudry in [GRS11], the structure of Fourier coefficients of the residual
representations of certain special Eisenstein series plays important roles.
Started from [JLZ13], the authors are looking for more general residual
representations, which may yield more general theory of automorphic descents.
In this paper, we investigate the structure of Fourier coefficients of certain
residual representations of symplectic groups, corresponding to certain
interesting families of global Arthur parameters. On one hand, the results
partially confirm a conjecture proposed by the first named author in [J14] on
relations between the global Arthur parameters and the structure of Fourier
coefficients of the automorphic representations in the corresponding global
Arthur packets. On the other hand, the results of this paper can be regarded as
a first step towards more general automorphic descents for symplectic groups,
which will be considered in our future work.

15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph