On sign changes of Fourier coefficients of modular forms
It is known that if a nonzero cusp form has real Fourier coefficients, then its Fourier coefficients change signs infinitely often. In this paper, we prove that there is a codimension one subspace in the space of holomorphic modular forms of square-free level such that all of its non-zero forms have...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
31 January 2018
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| In: |
Research in number theory
Year: 2018, Volume: 4, Issue: 1, Pages: 1-6 |
| ISSN: | 2363-9555 |
| DOI: | 10.1007/s40993-018-0102-5 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/s40993-018-0102-5 Verlag, Volltext: https://link.springer.com/article/10.1007/s40993-018-0102-5 
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| Author Notes: | Winfried Kohnen, Yichao Zhang |
| Summary: | It is known that if a nonzero cusp form has real Fourier coefficients, then its Fourier coefficients change signs infinitely often. In this paper, we prove that there is a codimension one subspace in the space of holomorphic modular forms of square-free level such that all of its non-zero forms have similar sign change property. |
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| Item Description: | Gesehen am 19.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 2363-9555 |
| DOI: | 10.1007/s40993-018-0102-5 |