We prove that Cohen’s Maass wave form and Li–Ngo–Rhoades’ Maass wave form are Hecke eigenforms with respect to certain Hecke operators. As a corollary, we find new identities of the pth coefficients of these Maass wave forms in terms of pth root of unity.

中文翻译：

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Maass波形，量子模形式和Hecke算符

我们证明，相对于某些Hecke算子，Cohen的Maass波形和Li-Ngo-Rhoades的Maass波形是Hecke本征形。作为推论，我们发现这些Maass波形的p个系数的第一个单位是p个单位的根。