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Weak Jacobi forms of weight $0$ and index $m$ can be exponentially lifted to meromorphic Siegel paramodular forms. It was recently observed that the Fourier coefficients of such lifts are… Click to show full abstract
Weak Jacobi forms of weight $0$ and index $m$ can be exponentially lifted to meromorphic Siegel paramodular forms. It was recently observed that the Fourier coefficients of such lifts are then either fast growing or slow growing. In this note we investigate the space of weak Jacobi forms that lead to slow growth. We provide analytic and numerical evidence for the conjecture that there are such slow growing forms for any index $m$.
Keywords:
weak jacobi;
jacobi forms;
slow growing;
space slow
Journal Title: Journal of Number Theory
Year Published: 2022
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Journal Title: Journal of Number Theory
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!