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)

Data:	2019
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Hermitian modular forms ; Square free ; Fourier coefficients ; Hermitian jacobi forms ; Eichler-zagier maps
Publicat a:	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

35 p, 598.9 KB

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