Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients
Anamby, Pramath (Indian Institute of Science (Bangalore, Índia). Department of Mathematics)
Das, Soumya (Indian Institute of Science (Bangalore, Índia). Department of Mathematics)
Date: |
2019 |
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. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Hermitian modular forms ;
Square free ;
Fourier coefficients ;
Hermitian jacobi forms ;
Eichler-zagier maps |
Published in: |
Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 307-341 (Articles) , ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/347166
DOI: 10.5565/PUBLMAT6311911
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Record created 2019-01-08, last modified 2022-09-03