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arXiv · 1303.3556

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

Emmanuel Royer·Jyoti Sengupta·Jie Wu
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Abstract

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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Emmanuel Royer, Jyoti Sengupta, Jie Wu. 2013-03-14. Sign changes in short intervals of coefficients of spinor zeta function of a Siegel cusp form of genus 2. https://arxiv.org/abs/1303.3556

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