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

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 (respectively, negative) coefficients in some short intervals.

Article de revue

International Journal of Number Theory 10, No. 2, 327-339