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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1979 Volume 82, Pages 136–143 (Mi znsl2097)

This article is cited in 3 papers

Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0

N. V. Proskurin


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 $\Gamma_0(N)$.

UDC: 511.334


 English version:
Journal of Soviet Mathematics, 1982, 18:6, 951–957

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