Publicacions Matemàtiques

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

Pramath Anamby and Soumya Das

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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.

Article information

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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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11F30: Fourier coefficients of automorphic forms 11F55: Other groups and their modular and automorphic forms (several variables)
Secondary: 11F50: Jacobi forms

Hermitian modular forms square free Fourier coefficients Hermitian Jacobi forms Eichler–Zagier maps


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.

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