Non-vanishing and Sign Changes of Hecke Eigenvalues for Siegel Cusp Forms of Genus Two
HAL (Le Centre pour la Communication Scientifique Directe)(2016)
摘要
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.
更多查看译文
关键词
Spinor zeta function,Siegel form,Fourier coefficients,Hecke eigenvalues
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要