Anamby, Pramath and Das, Soumya (2019) DISTINGUISHING HERMITIAN CUSP FORMS OF DEGREE 2 BY A CERTAIN SUBSET OF ALL FOURIER COEFFICIENTS. In: PUBLICACIONS MATEMATIQUES, 63 (1). pp. 307-341.
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Official URL: https://doi.org/10.5565/PUBLMAT6311911
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.
| Item Type: | Journal Article |
|---|---|
| Publication: | PUBLICACIONS MATEMATIQUES |
| Publisher: | UNIV AUTONOMA BARCELONA |
| Additional Information: | Copyright of this article belongs to UNIV AUTONOMA BARCELONA |
| Keywords: | Hermitian modular forms; square free; Fourier coefficients; Hermitian Jacobi forms; Eichler-Zagier maps |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 25 Jan 2019 12:56 |
| Last Modified: | 25 Jan 2019 12:56 |
| URI: | http://eprints.iisc.ac.in/id/eprint/61435 |
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