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Partial-sum analogues of the Rogers-Ramanujan identities

S. Ole Warnaar

math.COarXiv:math/0108193

Abstract

A new type of polynomial analogue of the Rogers-Ramanujan identities is proven. Here the product-side of the Rogers-Ramanujan identities is replaced by a partial theta sum and the sum-side by a weighted sum over Schur polynomials.

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