The number of Hecke eigenvalues of same signs

Details The number of Hecke eigenvalues of same signs The number of Hecke eigenvalues of same signs

2008-12-16

arxiv.org/abs/0812.3025v1

Mathematics

Number Theory

to appear in Math. Z

Scientific paper

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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