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arXiv:0812.3025 [math.NT]AbstractReferencesReviewsResources

The number of Hecke eigenvalues of same signs

Yuk Kam Lau, Jie Wu

Published 2008-12-16Version 1

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.

Comments: to appear in Math. Z
Categories: math.NT
Subjects: 11F30, 11N25
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