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Cuspidality and the growth of Fourier coefficients of modular forms.
- Source :
- Journal für die Reine und Angewandte Mathematik; 2018, Vol. 2018 Issue 741, p161-178, 18p
- Publication Year :
- 2018
-
Abstract
- We characterize Siegel cusp forms in the space of Siegel modular forms of large weight k > 2 n {k>2n} on any Siegel congruence subgroup Γ of any degree n and any level N, by a suitable growth of their Fourier coefficients (e.g., by the well-known Hecke bound) at any one of the cusps. For this, we use a ‘local’ approach as compared to our previous results on this topic. We also touch upon the question in the context of vector-valued modular forms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2018
- Issue :
- 741
- Database :
- Complementary Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 131059861
- Full Text :
- https://doi.org/10.1515/crelle-2015-0075