Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some consequences of Arthur's conjectures for special orthogonal even
  groups   In this paper we construct explicitly a square integrable residual
automorphic representation of the special orthogonal group $SO_{2n}$, through
Eisenstein series. We show that this representation comes from an elliptic
Arthur parameter $\psi$ and appears in the space
$L^2(SO_{2n}(\mathbb{Q})\backslash SO_{2n}(\mathbb{A}_{\mathbb{Q}}))$ with
multiplicity one. Next, we consider parameters whose Hecke matrices, at the
unramified places, have eigenvalues bigger (in absolute value), than those of
the parameter constructed before. The main result is, that these parameters
cannot be cuspidal. We establish bounds for the eigenvalues of Hecke operators,
as consequences of Arthur's conjectures for $SO_{2n}$. Next, we calculate the
character and the twisted characters for the representations that we
constructed. Finally, we find the composition of the global and local Arthur's
packets associated to our parameter $\psi$. All the results in this paper are
true if we replace $\mathbb{Q}$ by any number field $F$.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org