Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of the Selberg zeta function for symmetric infinite area
  hyperbolic surfaces   In the present paper we give a simple mathematical foundation for describing
the zeros of the Selberg zeta functions $Z_X$ for certain very symmetric
infinite area surfaces $X$. For definiteness, we consider the case of three
funneled surfaces. We show that the zeta function is a complex almost periodic
function which can be approximated by complex trigonometric polynomials on
large domains (in Theorem 4.2). As our main application, we provide an
explanation of the striking empirical results of Borthwick (arXiv:1305.4850)
(in Theorem 1.5) in terms of convergence of the affinely scaled zero sets to
standard curves $\mathcal C$.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph