2 papers
math.AG2026
Partition identities associated with -Surface singularities
Pooneh Afsharijoo, Pedro D. González Pérez, Hussein Mourtada
We prove a family of partition identities involving integer partitions in three colors. The conditions imposed on the types of partitions appearing in these identities involve cons…
math.CO2024
Even-Odd partition identities of Göllnitz-Gordon type
Pooneh Afsharijoo
In this paper, we establish a new companion to the Göllnitz--Gordon identities. We give two independent proofs. The first is based on a new system of recurrence formulas, while th…