Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeta Functions of the Dirac Operator on Quantum Graphs   We construct spectral zeta functions for the Dirac operator on metric graphs.
We start with the case of a rose graph, a graph with a single vertex where
every edge is a loop. The technique is then developed to cover any finite graph
with general energy independent matching conditions at the vertices. The
regularized spectral determinant of the Dirac operator is also obtained as the
derivative of the zeta function at a special value. In each case the zeta
function is formulated using a contour integral method, which extends results
obtained for Laplace and Schrodinger operators on graphs.

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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph