Partitions and Hecke images
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909806885863424 |
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| author | Breuer, Florian Pazuki, Fabien |
| author_facet | Breuer, Florian Pazuki, Fabien |
| contents | We obtain a new family of relations satisfied by the partition function. In contrast with most partition relations, these involve non-trivial roots of unity. We present two proofs, one using the fact that the discriminant modular form is a multiplicative Hecke eigenform, and one direct proof using q-series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partitions and Hecke images Breuer, Florian Pazuki, Fabien Number Theory Combinatorics 11F11, 11P82, 05A17 We obtain a new family of relations satisfied by the partition function. In contrast with most partition relations, these involve non-trivial roots of unity. We present two proofs, one using the fact that the discriminant modular form is a multiplicative Hecke eigenform, and one direct proof using q-series. |
| title | Partitions and Hecke images |
| topic | Number Theory Combinatorics 11F11, 11P82, 05A17 |
| url | https://arxiv.org/abs/2509.21603 |