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arxiv: 1509.02431 · v2 · pith:BR6I5FLInew · submitted 2015-09-08 · 🧮 math.NT

On Products of Fourier Coefficients of Cusp Forms

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

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