Hecke equivariance of the divisor map
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910927218016256 |
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| author | Jeon, Daeyeol Kang, Soon-Yi Kim, Chang Heon Matsusaka, Toshiki |
| author_facet | Jeon, Daeyeol Kang, Soon-Yi Kim, Chang Heon Matsusaka, Toshiki |
| contents | We study the multiplicative Hecke operators acting on the space of meromorphic modular forms, and show that the divisor map to divisors on $X_0(N)$ is a Hecke equivariant map. As applications, we investigate the divisor sum formula of Bruinier-Kohnen-Ono and more general Rohrlich-type divisor sums for polyharmonic Maass forms, discussing several implications for the Hecke action and its relation to the self-adjointness of the Hecke operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01702 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hecke equivariance of the divisor map Jeon, Daeyeol Kang, Soon-Yi Kim, Chang Heon Matsusaka, Toshiki Number Theory 11F12, 11F25, 11F30, 11F37 We study the multiplicative Hecke operators acting on the space of meromorphic modular forms, and show that the divisor map to divisors on $X_0(N)$ is a Hecke equivariant map. As applications, we investigate the divisor sum formula of Bruinier-Kohnen-Ono and more general Rohrlich-type divisor sums for polyharmonic Maass forms, discussing several implications for the Hecke action and its relation to the self-adjointness of the Hecke operators. |
| title | Hecke equivariance of the divisor map |
| topic | Number Theory 11F12, 11F25, 11F30, 11F37 |
| url | https://arxiv.org/abs/2505.01702 |