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arXiv · 0812.3025

The number of Hecke eigenvalues of same signs

Yuk Kam Lau·Jie Wu
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Abstract

We give the best possible lower bounds in order of magnitude for the number of positive and negative Hecke eigenvalues. This improves upon a recent work of Kohnen, Lau & Shparlinski. Also, we study an analogous problem for short intervals.

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Yuk Kam Lau, Jie Wu. 2008-12-16. The number of Hecke eigenvalues of same signs. https://arxiv.org/abs/0812.3025

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