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arXiv · 2001.11764

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

Pramath Anamby·Soumya Das
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Abstract

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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BibTeXRIS

Pramath Anamby, Soumya Das. 2020-01-31. Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients. https://doi.org/10.5565/publmat6311911

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