The distribution of the eigenvalues of Hecke operators

1996/09/10 by Conrey, J. Brian, Duke, William, Farmer, David W. · 2 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/9609214

Abstract

For each prime p, we determine the distribution of the p^th Fourier coefficients of the Hecke eigenforms of large weight for the full modular group. As p→∞, this distribution tends to the Sato--Tate distribution.

Cited by

• Low-lying zeros of Hilbert modular L-functions weighted by powers of central L-values
• The hyperbolic circle problem over Heegner points

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