Geodesic
Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight~0
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 136-143

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From the summation formulas for general Kloosterman sums and from Weil's estimates, one derives nontrivial estimates for the eigenvalues of Hecke operators, acting in the Hilbert space of parabolic forms of weight 0 relative to the group $\Gamma_0(N)$. 
@article{ZNSL_1979_82_a7,
     author = {N. V. Proskurin},
     title = {Estimates of the eigenvalues of {Hecke} operators in the space of cusp forms of weight~0},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {136--143},
     publisher = {mathdoc},
     volume = {82},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a7/}
}
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N. V. Proskurin. Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight~0. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 136-143. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a7/