Speaker
Soon-Yi Kang
(Kangwon National University)
Description
This talk explores structural connections between integer partitions and Eisenstein series, with an emphasis on the arithmetic implications of modularity and quasi-modularity. As a primary example, we study generating functions arising from MacMahon-type partition variants and show that they admit quasi-modular descriptions. This framework provides effective control over their coefficients and leads to arithmetic applications, including a new expression for prime detection.
