Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ihara zeta function of the infinite grid   The infinite grid is the Cayley graph of $\mathbb{Z} \times \mathbb{Z}$ with
the usual generators. In this paper, the Ihara zeta function for the infinite
grid is computed using elliptic integrals and theta functions. The zeta
function of the grid extends to an analytic, multivalued function which
satisfies a functional equation. The set of singularities in its domain is
finite.
  The grid zeta function is the first computed example which is non-elementary,
and which takes infinitely many values at each point of its domain. It is also
the limiting value of the normalized sequence of Ihara zeta functions for
square grid graphs and torus graphs.

1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an