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

• Autores: Pramath Anamby, Soumya Das
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 63, Nº 1, 2019, págs. 307-341
• Idioma: inglés
• DOI: 10.5565/PUBLMAT6311911
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• Resumen

  • 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.