主講人：朱曉杰 華東師范大學(xué)

時(shí)間：2025年6月7日14：00

地點(diǎn)：徐匯校區(qū)三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：朱曉杰，華東師范大學(xué)博士后。其主要研究領(lǐng)域?yàn)閿?shù)論中的模形式、Jacobi~形式、分拆數(shù)等，在~Hecke~算子理論和利用模形式理論計(jì)算~Gamma~函數(shù)的特殊點(diǎn)取值上取得了一定的研究成果，在~《Journal of Number Theory》~、~《Acta Arithmetica》~等期刊發(fā)表文章多篇。

內(nèi)容介紹：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}.