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Mathematical analysis reveals Hecke equivariance of divisor maps on meromorphic modular forms, highlighting applications to divisor sum formulas and operator self-adjointness.
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.
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Jeon et al. (2026) studied this question.
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