The number of Hecke eigenvalues of same signs
classification
🧮 math.NT
keywords
eigenvaluesheckenumberanalogousbestboundsgiveimproves
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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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