13 citations · 18 across the 7 of their papers we have counts for
7 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…
New companions to the Andrews--Gordon identities motivated by commutative algebra
Pooneh Afsharijoo, Jehanne Dousse, Frédéric Jouhet +1
We give a proof of a recent combinatorial conjecture due to the first author, which was discovered in the framework of commutative algebra. This result gives rise to new companions…
Even-Odd partition identities of Rogers-Ramanujan type
Pooneh Afsharijoo
We prove a theorem which add a new member to Rogers-Ramanujan identities. This new member counts partitions with different type of constraints on even and odd parts. Generalizing t…
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…
Looking for a new member of Gordon's identities
Pooneh Afsharijoo
We give a commutative algebra viewpoint on Andrews recursive formula for the partitions appearing in "Gordon's identities", which are a generalization of Rogers-Ramanujan identitie…