论文标题
Bailey成对和奇怪的身份
Bailey pairs and strange identities
论文作者
论文摘要
Zagier介绍了“奇怪的身份”一词，以描述特定$ q $ - hyphemetric系列与统一根部的部分theta功能之间的渐近关系。我们表明，Zagier的奇怪身份背后是关于Bailey对的声明。然后，使用Bailey对的迭代机械，然后导致许多多国奇怪身份的家庭，包括Hikami对Zagier身份的概括。
Zagier introduced the term "strange identity" to describe an asymptotic relation between a certain $q$-hypergeometric series and a partial theta function at roots of unity. We show that behind Zagier's strange identity lies a statement about Bailey pairs. Using the iterative machinery of Bailey pairs then leads to many families of multisum strange identities, including Hikami's generalization of Zagier's identity.
