Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The second moment of Dirichlet twists of a $\textrm{GL}_{4}$ automorphic
  $L$-function   In this paper, we give an asymptotic formula for the second moment of
Dirichlet twists of an automorphic $L$-function $L(s, \pi)$ on the critical
line averaged over characters and conductors, where $\pi$ denotes an
irreducible tempered cuspidal automorphic representation of $\textrm{GL}_{4}$
with unitary central character. We give some hybrid bound for the error term
with respect to the size of conductors of Dirichlet characters and that of the
automorphic representation.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org