A commutative algebra proof is supplied for the J-generalization of the Rogers-Ramanujan-Gordon identities by relating their generating functions to Hilbert-Poincaré series of suitably constructed graded algebras.
Schur,Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbr¨ uche, S.-B
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$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra
A commutative algebra proof is supplied for the J-generalization of the Rogers-Ramanujan-Gordon identities by relating their generating functions to Hilbert-Poincaré series of suitably constructed graded algebras.