论文标题
一致性的模块化表格和曲柄功能的应用
Congruences for modular forms and applications to crank functions
论文作者
论文摘要
在本文中，在马尔堡（Mahlburg）的工作中，我们为大量模块化形式找到了一致性。此外，我们概括了安德鲁斯 - 加尔万 - 迪森曲柄的生成功能，并建立了几个新的无限一致家庭。在此框架中，我们证明了Hammond和Lewis引入的一对分区的围栏，以及FU引入的$ K $颜色分区的$ K $ Crank和Tang Process与分区功能和曲柄相同。
In this paper, motivated by the work of Mahlburg, we find congruences for a large class of modular forms. Moreover, we generalize the generating function of the Andrews-Garvan-Dyson crank on partition and establish several new infinite families of congruences. In this framework, we showed that both the birank of an ordered pair of partitions introduced by Hammond and Lewis, and $k$-crank of $k$-colored partition introduced by Fu and Tang process the same as the partition function and crank.
