报告题目：Congruences for modular forms and applications to crank functions

报告人：张文静助理教授

报告时间：2021/06/03 9:30-11:00

报告地点：腾讯会议369 391 291

报告摘要：In this talk, 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. We also give several noteworthy examples of crank functions, including the crank of $k$-colored partitions. This work is joint with Hao Zhang

报告人简介：张文静，湖南大学数学学院助理教授，2019年博士毕业于天津大学应用数学中心，师从陈永川院士，主要研究组合数学、特殊函数与整数分拆。目前主持国家自然科学基金青年项目一项