论文标题
与Andrews-Gordon身份相关的新$ U $ type功能的混合模拟模块
The mixed mock modularity of a new $U$-type function related to the Andrews-Gordon identities
论文作者
论文摘要
在本文中，我们解决了Bringmann，Lovejoy和Rolen在新的矢量值$ u $ type函数上的问题。我们获得了相应的Hecke-appell型总和的表达式，以混合模拟模块形式为角度；也就是说，我们以appell函数和theta函数来表达总和。此$ u $ type函数来自考虑与Rogers-Ramanujan身份Gordon概括中发生的分区的生成功能相关的特殊多项式。
In this paper we resolve a question by Bringmann, Lovejoy, and Rolen on a new vector-valued $U$-type function. We obtain an expression for a corresponding family of Hecke-Appell-type sums in terms of mixed mock modular forms; that is, we express the sum in terms of Appell functions and theta functions. This $U$-type function appears from considering the special polynomials related to generating functions for the partitions occurring in Gordon generalization of the Rogers-Ramanujan identities.
