On the Fourier coefficients of Siegel modular forms
One can characterize Siegel cusp forms among Siegel modular forms by growth properties of their Fourier coefficients. We give a new proof, which works also for more general types of modular forms. Our main tool is to study the behavior of a modular form for Z = X + iY when Y −→ 0.
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
21 October 2016
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| In: |
Nagoya mathematical journal
Year: 2019, Volume: 234, Pages: 1-16 |
| ISSN: | 2152-6842 |
| DOI: | 10.1017/nmj.2016.41 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1017/nmj.2016.41 Verlag, Volltext: https://www.cambridge.org/core/product/identifier/S0027763016000416/type/journal_article 
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| Author Notes: | Siegfried Böcherer and Winfried Kohnen |
| Summary: | One can characterize Siegel cusp forms among Siegel modular forms by growth properties of their Fourier coefficients. We give a new proof, which works also for more general types of modular forms. Our main tool is to study the behavior of a modular form for Z = X + iY when Y −→ 0. |
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| Item Description: | Gesehen am 16.07.2019 |
| Physical Description: | Online Resource |
| ISSN: | 2152-6842 |
| DOI: | 10.1017/nmj.2016.41 |