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arXiv · 0806.4668

Power sums of Hecke's eigenvalues and application

Jie Wu
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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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Jie Wu. 2008-06-28. Power sums of Hecke's eigenvalues and application. https://doi.org/10.4064/aa137-4-3

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