- Publ. Mat.
- Volume 63, Number 1 (2019), 307-341.
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.
Publ. Mat., Volume 63, Number 1 (2019), 307-341.
Received: 3 July 2017
Revised: 25 July 2018
First available in Project Euclid: 7 December 2018
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Anamby, Pramath; Das, Soumya. Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients. Publ. Mat. 63 (2019), no. 1, 307--341. doi:10.5565/PUBLMAT6311911. https://projecteuclid.org/euclid.pm/1544151640