Badri.Vishal.Pandey

Affiliation: University of Cologne

Title Of Talk: Quasimodularity and Limiting Behavior for Variations of MacMahon Series

URLS:
https://arxiv.org/abs/2505.08035
https://arxiv.org/abs/2402.08340
https://arxiv.org/abs/2407.04798

Abstract: We discuss recent results showing that large families of MacMahon-type q-series arising in partition theory are quasimodular forms with rich algebraic structure, with applications from quasi-shuffle algebras. These functions provide effective approximations to classical partition functions and infinite product reciprocals, revealing new connections between quasimodularity, partition statistics, and explicit product expansions.

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