| 释义 |
Andrews-Schur Identity | |  | (1) |
where  is a Gaussian Polynomial. It is a Polynomial identity for  , 1 which implies the Rogers-Ramanujan Identities by taking  and applying the Jacobi Triple Product identity. Avariant of this equation is | |  | (2) |
where the symbol  in the Sum limits is the Floor Function (Paule 1994). The Reciprocal ofthe identity is
 | (3) |
 , (1) and (2) become
 | (4) |
References
Andrews, G. E. ``A Polynomial Identity which Implies the Rogers-Ramanujan Identities.'' Scripta Math. 28, 297-305, 1970.Paule, P. ``Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type.'' Electronic J. Combinatorics 1, R10 1-9, 1994.http://www.combinatorics.org/Volume_1/volume1.html#R10.
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