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arXiv · 2412.18746

Formal series of Jacobi forms

Hiroki Aoki·Tomoyoshi Ibukiyama·Cris Poor
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Abstract

We prove for general paramodular level that formal series of scalar Jacobi forms with an involution condition necessarily converge and are therefore the Fourier-Jacobi expansions at the standard 1-cusp of paramodular Fricke eigenforms.

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Hiroki Aoki, Tomoyoshi Ibukiyama, Cris Poor. 2024-12-25. Formal series of Jacobi forms. https://arxiv.org/abs/2412.18746

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