Puchsian groups and small eigenvalues of the Laplace operator

Let $H$ be the Lobachevsky plane and $\Gamma$ be an arbitrary Puchsian group of the first kind. We give upper bounds for the total number and for the multiplicities of small eigenvalues (i. e. such in $[0,\frac14]$) of the Laplace operator on $H/\Gamma$ in which only topological invariants occur.