Soon-Yi.Kang

Affiliation: Kangwon National University

Title Of Talk: Quasi-Modularity and Prime Detection in MacMahon-Type Partition Variants

Abstract: Building upon the framework of Craig, van Ittersum, and Ono, we examine the generating functions of MacMahon-type partition variants and show that they admit quasi-modular descriptions. This provides effective structural control over their coefficients, leading to a new prime-detecting expression as a key application. Furthermore, we discuss these developments through the lens of the recently introduced traces of partition Eisenstein series by Amdeberhan, Griffin, Ono, and Singh.

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