Geodesic
Puchsian groups and small eigenvalues of the Laplace operator
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part IV, Tome 122 (1982), pp. 24-29

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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. 
@article{ZNSL_1982_122_a3,
     author = {P. G. Zograf},
     title = {Puchsian groups and small eigenvalues of the {Laplace} operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {24--29},
     publisher = {mathdoc},
     volume = {122},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a3/}
}
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P. G. Zograf. Puchsian groups and small eigenvalues of the Laplace operator. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part IV, Tome 122 (1982), pp. 24-29. http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a3/