Coefficients of symmetric square L-functions

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：HalfHour

【摘要】

：

Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function associated with a holomorphic primitive cusp form f.We prove

【作者】

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LAU Yuk-Kam

【机构】

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DepartmentofMathematics

【出处】

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中国科学：数学英文版

【发表日期】

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2010年9期

【关键词】

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FOURIER COEFFICIENTS of MODULAR forms B-free NUMBERS Fourier coefficients of mod

【基金项目】

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the James D.Wolfensohn Fund,the S.S.Chern Fund,the Minerva Research Foundation,National Natural Science Foundation of China (Grant No.10531060) for their supports during the academicyear

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Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function associated with a holomorphic primitive cusp form f.We prove Ω± results for λsym2f(n) and evaluate the number of positive(resp.,negative) λsym2f(n) in so

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Coefficients of symmetric square L-functions

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