论文标题
在缓慢生长的弱雅各比形成的空间
On the Space of Slow Growing Weak Jacobi Forms
论文作者
论文摘要
弱的雅各比（Jacobi）的重量$ 0 $和索引$ m $可以指数呈指数提升为Meromormormormormormormormorphic siegel partododular形式。最近观察到，此类升降机的傅立叶系数随后快速生长或增长缓慢。在本说明中，我们研究了弱雅各比形式的空间，从而导致生长缓慢。我们为任何指数$ M $ a $ $ $的猜想提供了分析性和数值证据。
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 $m$.
