On products of Fourier coefficients of cusp forms

On products of Fourier coefficients of cusp forms
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DOI:
10.1515/forum-2015-0175
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发表时间:
2015-09
期刊:
影响因子:
0.8
通讯作者:
Eric Hofmann;W. Kohnen
Eric Hofmann;W. Kohnen
中科院分区:
数学2区
文献类型:
--
作者:
Eric Hofmann;W. Kohnen

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本文的目的是研究固定正整数r的椭圆尖点形式a⁢(N)⁢a⁢(n+r)${a(N)a(n+r)}$(n≥1${n\geq1}$)的傅里叶系数乘积,涉及非零性和非负性。
Abstract The purpose of this paper is to study products of Fourier coefficients of an elliptic cusp form, a ⁢ ( n ) ⁢ a ⁢ ( n + r ) ${a(n)a(n+r)}$ ( n ≥ 1 ${n\geq 1}$ ) for a fixed positive integer r, concerning both non-vanishing and non-negativity.