Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triangle Groups: Automorphic Forms and Nonlinear Differential Equations   We study the relations governing the ring of quasiautomorphic forms
associated to triangle groups with a single cusp, thereby extending our earlier
results on Hecke groups. The Eisenstein series associated to these triangle
groups are shown to satisfy Ramanujan-like identities. These identities in turn
allow us to associate a nonlinear differential equation to each triangle group.
We show that they are solved by the quasiautomorphic weight-2 Eisenstein series
associated to the triangle group and its orbit under the group action. We
conclude by discussing the Painlev\'e property of these nonlinear differential
equations.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas