Geodesic
Asymptotics and sign patterns of Hecke polynomial coefficients
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 914-926

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DOI

We determine the asymptotic behavior of the coefficients of Hecke polynomials. In particular, this allows us to determine signs of these coefficients when the level or the weight is sufficiently large. In all but finitely many cases, this also verifies a conjecture on the nanvanishing of the coefficients of Hecke polynomials.
DOI : 10.4153/S0008439525000190
Mots-clés : Hecke operator, Hecke polynomial, Eichler–Selberg trace formula 
Ross, Erick; Xue, Hui. Asymptotics and sign patterns of Hecke polynomial coefficients. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 914-926. doi: 10.4153/S0008439525000190
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     title = {Asymptotics and sign patterns of {Hecke} polynomial coefficients},
     journal = {Canadian mathematical bulletin},
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     year = {2025},
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