用傅里叶系数的某个子集来区分2次的厄米尖形式

Pub Date : 2019-01-01 DOI:10.5565/PUBLMAT6311911

Pramath Anamby, Soumya Das

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引用次数: 9

摘要

我们证明了2次的厄米模群的权k的厄米尖形式是由它们的傅里叶系数决定的，这些系数由其行列式本质上是无平方的矩阵表示。此外，我们给出了上述结果的一个定量版本。这是对积分权椭圆尖形的相应结果的推论，这在本文中也得到了处理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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