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; Jie Wu (IECL); Jyoti Sengupta (TIFR)

arxiv: 1406.1646 · v2 · pith:DOPORR2Enew · submitted 2014-06-06 · 🧮 math.NT

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 (TIFR) , Jie Wu (IECL) This is my paper

classification 🧮 math.NT

keywords cuspgenushalfsiegelappendixchangescoefficientseigenvalues

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

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