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Reducible modular differential equations, Jacobi pole divisors, and supersingular lifts

Besrour, Khalil et al.
arXiv (OAI Expanded) · Papers
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33c45classical-analysis-and-odesnumber-theory
We study the reducible parameter values of a second-order modular differential equation for the full modular group and show that their pole data is controlled by a single polynomial linking three a priori different structures. The residue conditions for the associated weight two form are exactly the
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