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作者单位:Emmanuel Royer (1) Jyoti Sengupta (2) Jie Wu (3)
1. Laboratoire de Mathématiques, Université Blaise Pascal, Les Cézeaux, BP 80026, 63171, Aubière Cedex, France 2. School of Mathematics, T.I.F.R., Homi Bhabha Road, Mumbai, 400 005, India 3. Institut Élie Cartan de Lorraine, UMR 7502, Université de Lorraine, 54506, Vandœuvre-lès-Nancy, France
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Number Theory Field Theory and Polynomials Combinatorics Fourier Analysis Functions of a Complex Variable
出版者:Springer U.S.
ISSN:1572-9303
文摘
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. We also prove results concerning the non-vanishing in short intervals and strong cancellation among the coefficients evaluated at powers of a fixed prime. Our results rest on a Serre’s type density result established by Kowalski and Saha in the Appendix.