Partial-sum analogues of the Rogers-Ramanujan identities

Details Partial-sum analogues of the Rogers-Ramanujan identities Partial-sum analogues of the Rogers-Ramanujan identities

2001-08-28

arxiv.org/abs/math/0108193v2

J. Combin. Theory Ser. A 99 (2002), 143--161

Mathematics

Combinatorics

15 pages, AMS-LaTeX

Scientific paper

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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