Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spectral interpretation of the zeros of the constant term of certain
  Eisenstein series   In this paper we consider the constant term $\phi_K(y,s)$ of the
non-normalized Eisenstein series attached to $\PSL(2,\cO_K)$, where $K$ is
either $\Q$ or an imaginary quadratic field of class number one. The main
purpose of this paper is to show that for every $a\ge 1$ the zeros of the
Dirichlet series $\phi_K(a,s)$ admit a spectral interpretation in terms of
eigenvalues of a natural self-adjoint operator $\Delta_a$. This implies that,
except for at most two real zeros, all zeros of $\phi_K(a,s)$ are on the
critical line, and all zeros are simple. For $K=\Q$ this is due to Lagarias and
Suzuki and Ki.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn