4 papers
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…
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 the…
Neighborly partitions, hypergraphs and Gordon's identities
Pooneh Afsharijoo, Hussein Mourtada
We prove a family of partition identities which is "dual" to the family of Andrews-Gordon's identities. These identities are inspired by a correspondence between a special type of…
Partition identities and application to infinite dimensional Groebner basis and viceversa
Pooneh Afsharijoo, Hussein Mourtada
In the first part of this article, we consider a Groebner basis of the differential ideal {x_1^2} with respect to "the" weighted lexicographical monomial order and show that its co…