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On Products of Fourier Coefficients of Cusp Forms

preprint2016arXivOpen access
Eric HofmannWinfried Kohnen
math.NT
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Abstract

The purpose of this paper is to study products of Fourier coefficients of an elliptic cusp form, a(n)a(n+r)a(n)a(n + r) (n≥1)(n \geq 1) for a fixed positive integer rr, concerning both non-vanishing and non-negativity.

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