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arxiv: 1208.6178 · v2 · pith:AIASIP2Wnew · submitted 2012-08-30 · 🧮 math.DS · math.NT

A dynamical approach to Maass cusp forms

classification 🧮 math.DS math.NT
keywords cuspformsgammamaassadditionalapproachcertaincofinite
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For nonuniform cofinite Fuchsian groups $\Gamma$ which satisfy a certain additional geometric condition, we show that the Maass cusp forms for $\Gamma$ are isomorphic to 1-eigenfunctions of a finite-term transfer operator. The isomorphism is constructive.

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