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

2020/01/31 by Pramath Anamby, Soumya Das · 1 citation
Mathematics · #math.NT #msc:11F30 #msc:11F55 #msc:11F50

paper · pdf · doi:10.5565/publmat6311911

published as Publicacions Matematiques, 63.1 (2019), 307--341

arxiv created 2020/01/31 · arxiv updated 2020/02/03

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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