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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 the…
math.CO2021★ 1 cited
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…