Correspondence among generalized Frobenius partitions via modular permutations

Correspondence among generalized Frobenius partitions via modular permutations

报告专家：朱晓杰 博士后（华东师范大学）

报告时间：2025年6月7日 星期五 下午 2:00

报告地点：上海师范大学（徐汇校区）3号楼332室

报告摘要：In 2024, Garvan, Sellers and Smoot discovered a remarkable symmetry in the families of congruences for generalized Frobenius partitions and . They also emphasized that the considerations for the general case of  are important for future work. In this talk, for each  we construct a vector-valued modular form for the generating functions of, and determine an equivalence relation among all . Within each equivalence class, we can identify modular transformations relating the congruences of one  to that of another .

报告人简介：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。

上海师范大学数理学院