Hecke equivariance of the divisor map
Abstract
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 3
- Publication date
- 1 September 2026
- Language
- EN