On the average size of the eigenvalues of the Hecke operators

2024/07/26 by Cason, William, Jim, Akash, Medlock, Charlie +2
#11F11 #11F25 #11F72 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2407.19076

Abstract

We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space S_k(Γ₀(N)) in both the vertical and the horizontal perspective. The "average size" is measured via the quadratic mean.

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