This note demonstrates magnetic properties of certain meromorphic orthogonal modular forms, implying new mathematical insights.
R\'esum\'e. In this note we show that certain meromorphic orthogonal modular forms are magnetic, i.e. their Fourier coefficients satisfy special divisibility criteria. These meromorphic orthogonal modular forms are counterparts to the orthogonal cusp forms considered by Oda. We show that the seminal work of Borcherds implies the magneticity of these forms.
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Alfes et al. (2026) studied this question.
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