Sign changes of Fourier coefficients of Maass
eigenforms
佚名
【期刊名称】《中国科学》 【年(卷),期】2010(000)001
【摘要】Let f be a Maass eigenform that is a new form of level N on Γ0(N),with Laplace eigenvalue 1/4 + νf2 . Then,all its Fourier coefficients {λf(n)}∞n=1 are real,and we may normalize so that λf (1) = 1. It is proved,in this paper,that the first sign change in the sequence {λf(n)}n∞=1 occurs at some n satisfying n《{(3+|νf|2)N }1/2-δ and (n,N)=1. This generalizes the previous results for holomorphic Hecke eigenforms.
【总页数】8页(P.243-250)
【关键词】Maass;cusp;form;Fourier;coefficient;sign;change 【作者】佚名 【作者单位】; 【正文语种】英文 【中图分类】N 【相关文献】
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Sign changes of Fourier coefficients of Maass eigenforms
