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 $\lambda=r^2+1$.

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- Last edited by Nathan Ryan on 2019-04-29 23:53:22

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