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arxiv: 1303.3556 · v2 · pith:WOOORE3Gnew · submitted 2013-03-14 · 🧮 math.NT

Sign changes in short intervals of coefficients of spinor zeta function of a Siegel cusp form of genus 2

classification 🧮 math.NT
keywords coefficientscuspformformulafunctiongenusintervalsshort
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In this paper, we establish a Voronoi formula for the spinor zeta function of a Siegel cusp form of genus 2. We deduce from this formula quantitative results on the number of its positive (resp. negative) coefficients in some short intervals.

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