Partial-sum analogues of the Rogers-Ramanujan identities
Combinatorics
2007-05-23 v2 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/0108193,
title = {Partial-sum analogues of the Rogers-Ramanujan identities},
author = {S. Ole Warnaar},
journal= {arXiv preprint arXiv:math/0108193},
year = {2007}
}
Comments
15 pages, AMS-LaTeX