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Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight O

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Abstract

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 Γo(N).

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Literature cited

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 82, pp. 136–143, 1979.

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Proskurin, N.V. Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight O. J Math Sci 18, 951–957 (1982). https://doi.org/10.1007/BF01763966

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  • DOI: https://doi.org/10.1007/BF01763966

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