Hecke equivariance of the divisor map
Abstract We study the multiplicative Hecke operators acting on the space of meromorphic modular forms, and show that the divisor map to divisors on 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.
Authors
- Daeyeol Jeon (ORCID: https://orcid.org/0000-0002-5174-9375)
- Toshiki Matsusaka
- Chang Heon Kim
- Soon-Yi Kang (ORCID: https://orcid.org/0000-0002-7522-0185)
Institutions
- Korea Institute for Advanced Study (KR)
- Kyushu University (JP)
- Kangwon National University (KR)
- Kongju National University (KR)
- Gongju National University of Education (KR)
- Sungkyunkwan University (KR)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2026-09-01
- DOI
- https://doi.org/10.1112/jlms.70692
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation
- Ministry of Education, Culture, Sports, Science and Technology
- National Research Foundation of Korea
- Kementerian Pendidikan
- Ministry of Science and ICT, South Korea
- Japan Society for the Promotion of Science