2021/04/19 by Afsharijoo, Pooneh, Dousse, Jehanne, Jouhet, Frédéric +1 · 1 citation
#05A17 #05A30 #11B65 #11P81 #11P84 #12H05 #13A02 #46M18 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2104.09422
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 to the famous Andrews-Gordon identities. Our tools involve graded quotient rings, Durfee squares and rectangles for integer partitions, and q-series identities.