A **Maass form** of weight 0 on a subgroup \(\Gamma\) of \(\GL_{2}(\R)\)
is a smooth, square-integrable, automorphic eigenfunction of the Laplace-Beltrami operator $\Delta$. In other words,
$$f\in C^\infty(\mathcal{H}),\quad f\in L^2(\Gamma\backslash{\mathcal H}),\quad f(\gamma z)=f(z)\ \forall\gamma\in\Gamma,\quad (\Delta+\lambda)f(z)=0 \textrm{ for some } \lambda \in \C.$$

The database contains 15659 Maass forms of weight 0 on $\Gamma_0(N)$ for $N$ in the range from 1 to 997.

# Browse Maass forms

- Browse Maass forms of weight 0 on $\Gamma_0(N)$ with $1\leq N\leq 10$
- Browse Maass forms of weight 0 on $\Gamma_0(p)$ for prime $p$ with $100\leq p< 1000$