论文标题
假雅各比形式的泰勒系数和单峰序列的等级
Taylor coefficients of false Jacobi forms and ranks of unimodal sequences
论文作者
论文摘要
我们将新框架应用于第二作者和纳扎罗格鲁(Nazaroglu)开发的假theta函数模块化,以研究假雅各比形式的泰勒系数的渐近行为。我们研究的示例生成了单峰序列的等级时刻。对于两种类型的单峰序列,我们证明了排名力矩的渐近系列。
We apply the new framework for modularity of false theta functions developed by the second author and Nazaroglu to study the asymptotic behavior of Taylor coefficients of false Jacobi forms. The examples we study generate moments of the rank for unimodal sequences. For two types of unimodal sequences, we prove asymptotic series for the rank moments.