Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)

Emmanuel Royer; Jyoti Sengupta; Jie Wu

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arXiv · 1406.1646

Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)

Emmanuel Royer·Jyoti Sengupta·Jie Wu

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Abstract

In this paper, we show that half of non-zero coefficients of the spinor zeta function of a Siegel cusp form of genus 2 are positive and half are negative.

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Emmanuel Royer, Jyoti Sengupta, Jie Wu. 2014-09-01. Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha). https://arxiv.org/abs/1406.1646

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