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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.14990 |
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| _version_ | 1866915031090724864 |
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| author | Krishnamoorthy, S. Dalal, T. |
| author_facet | Krishnamoorthy, S. Dalal, T. |
| contents | J.-P. Serre, in his paper [1], established a sufficient condition on $n$ for the $n$-th coefficient of the series $η^{26}$ to vanish. However, the question that whether this is a necessary condition remained unanswered. In this paper, using the theory of Hecke eigenforms explored by Serre, we prove some partial cases for the converse part. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14990 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the vanishing of coefficients of $η^{26} Krishnamoorthy, S. Dalal, T. Number Theory J.-P. Serre, in his paper [1], established a sufficient condition on $n$ for the $n$-th coefficient of the series $η^{26}$ to vanish. However, the question that whether this is a necessary condition remained unanswered. In this paper, using the theory of Hecke eigenforms explored by Serre, we prove some partial cases for the converse part. |
| title | On the vanishing of coefficients of $η^{26} |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.14990 |