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Each Maass form is associated to an eigenvalue via the eigenvalue equation $(\Delta+\lambda)f(z)=0$ where $\Delta$ is the Laplacian. It is convenient to introduce the spectral parameter $r$ which is also called the eigenvalue. Only if one speaks about the true eigenvalue one refers to $\lambda$, since by convention eigenvalue refers to $r$. In hyperbolic 3-space, the eigenvalue is connected to the true eigenvalue via $\lambda=r^2+1$.

Keywords: #Maass #Picard

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• Review status: beta
• Last edited by Nathan Ryan on 2019-04-29 23:53:22
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