主讲人：朱晓杰 华东师范大学
时间：2025年6月7日14：00
地点：徐汇校区三号楼332室
举办单位：数理学院
主讲人介绍：朱晓杰，华东师范大学博士后。其主要研究领域为数论中的模形式、Jacobi~形式、分拆数等，在~Hecke~算子理论和利用模形式理论计算~Gamma~函数的特殊点取值上取得了一定的研究成果，在~《Journal of Number Theory》~、~《Acta Arithmetica》~等期刊发表文章多篇。
内容介绍：In 2024, Garvan, Sellers and Smoot discovered a remarkable symmetry in the families of congruences for generalized Frobenius partitions c\psi_{2,0}and c\psi_{2,1}. They also emphasized that the considerations for the general case of c\psi_{k,b} are important for future work. In this talk, for each k we construct a vector-valued modular form for the generating functions of c\psi_{k,b}, and determine an equivalence relation among all b. Within each equivalence class, we can identify modular transformations relating the congruences of one c\psi_{k,b} to that of another c\psi_{k,b^\prime}.
