Power sums of Hecke's eigenvalues and application
classification
🧮 math.NT
keywords
eigenvaluesheckeapplicationpowersumsboundestimateshigher
read the original abstract
We sharpen some estimates of Rankin on power sums of Hecke eigenvalues, by using Kim & Shahidi's recent results on higher order symmetric powers. As an application, we improve Kohnen, Lau & Shparlinski's lower bound for the number of Hecke eigenvalues of same signs.
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