论文标题

区分所有傅立叶系数的一定子集,区分Hermitian尖端形式

Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

论文作者

Anamby, Pramath, Das, Soumya

论文摘要

我们证明,Hermitian风格的重量$ K $用于Hermitian模块化学位$ 2 $的模块化$ 2 $由其傅立叶系数确定,其矩阵索引的矩阵基本上是无正方形的。此外,我们给出了上述结果的定量版本。这是整体重量椭圆形形式的相应结果的结果,本文也对此进行了处理。

We prove that Hermitian cusp forms of weight $k$ for the Hermitian modular group of degree $2$ are determined by their Fourier coefficients indexed by matrices whose determinants are essentially square-free. Moreover, we give a quantitative version of the above result. This is a consequence of the corresponding results for integral weight elliptic cusp forms, which are also treated in this paper.

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