Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenfunctions on the Finite Poincar\'e Plane   Let $F$ be a finite field of odd number of elements. Let $F(\sqrt{\delta})$
be its quadratic extension. $F(\sqrt{\delta})-F$ is the so-called finite
Poincare plane. This paper relates the bases of eigenfunctions constructed by
Evans and by Kuang. The finite Poincare plane can be viewed as a Ramanujan
graph. This paper also provides evidence for Terras' conjecture regarding the
asymptotic distribution of the eigenvalus of the adjacency matrices.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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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: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin