Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L-functions and sharp resonances of infinite index congruence subgroups
  of $SL_2(\mathbb{Z})$   For convex co-compact subgroups of SL2(Z) we consider the "congruence
subgroups" for p prime. We prove a factorization formula for the Selberg zeta
function in term of L-functions related to irreducible representations of the
Galois group SL2(Fp) of the covering, together with a priori bounds and
analytic continuation. We use this factorization property combined with an
averaging technique over representations to prove a new existence result of
non-trivial resonances in an effective low frequency strip.

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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: stat
9
The categories of this paper are: nlin