Formal series of Jacobi forms
Abstract
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. Our hypotheses, involving Jacobi forms for a single 1-cusp and symmetries under a single involution, are quite weak.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Topics in Algebra
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 10 April 2026
- Language
- EN