Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prime geodesics and averages of the Zagier $L$-series   The Zagier $L$-series encode data of real quadratic fields. We study the
average size of these $L$-series, and prove asymptotic expansions and omega
results for the expansion. We then show how the error term in the asymptotic
expansion can be used to obtain error terms in the prime geodesic theorem.

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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
30
The categories of this paper are: q-alg