论文标题
无限的矢量值模拟theta函数家族
An infinite family of vector-valued mock theta functions
论文作者
论文摘要
我们展示了一个无限的矢量价值模拟theta功能，该功能由积极的整数coprime索引至$ 6 $。这些是由戴森（Watson），戈登（Gordon）和麦金托什（McIntosh）研究的戴森（Dyson）等级生成函数的专长和相关功能构建的。相关的完成的谐波maass形式根据等级一晶格附带的Weil表示。这加强了2010年Bringmann和ono的结果，以及Garvan的2019年结果。
We exhibit an infinite family of vector-valued mock theta functions indexed by positive integers coprime to $6$. These are built from specializations of Dyson's rank generating function and related functions studied by Watson, Gordon, and McIntosh. The associated completed harmonic Maass forms transform according to the Weil representation attached to a rank one lattice. This strengthens a 2010 result of Bringmann and Ono and a 2019 result of Garvan.
