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arXiv · 1402.1929

Vector valued hermitian and quaternionic modular forms

Eberhard Freitag·Riccardo Salvati Manni
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Abstract

Extending the method of the paper [FS3] we prove three structure theorems for vector valued modular forms, where two correspond to 4-dimensional cases (two hermitian modular groups, one belonging to the field of Eisenstein numbers, the other to the field of Gaussian numbers.) and one to a 6-dimensional case (a quaternionic modular group).

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Eberhard Freitag, Riccardo Salvati Manni. 2014-02-09. Vector valued hermitian and quaternionic modular forms. https://doi.org/10.1215/21562261-3157757

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