Representation of Ramanujan's tau function by twisted divisor functions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913032998748160 |
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| author | Ni, Tianyu |
| author_facet | Ni, Tianyu |
| contents | We present an infinite family of identities that represent Ramanujan's tau function in terms of convolution sums of twisted divisor functions. Our method involves explicitly constructing non-vanishing level $1$ cusp forms from modular forms of higher levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13365 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Representation of Ramanujan's tau function by twisted divisor functions Ni, Tianyu Number Theory 11F11, 11A25 We present an infinite family of identities that represent Ramanujan's tau function in terms of convolution sums of twisted divisor functions. Our method involves explicitly constructing non-vanishing level $1$ cusp forms from modular forms of higher levels. |
| title | Representation of Ramanujan's tau function by twisted divisor functions |
| topic | Number Theory 11F11, 11A25 |
| url | https://arxiv.org/abs/2604.13365 |