arXiv Analytics

Sign in

arXiv:math/0108193 [math.CO]AbstractReferencesReviewsResources

Partial-sum analogues of the Rogers-Ramanujan identities

S. Ole Warnaar

Published 2001-08-28, updated 2002-08-26Version 2

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.

Comments: 15 pages, AMS-LaTeX
Journal: J. Combin. Theory Ser. A 99 (2002), 143--161
Categories: math.CO, math.QA
Subjects: 05A19, 33D15, 05A17, 17B68
Related articles: Most relevant | Search more
arXiv:1001.1571 [math.CO] (Published 2010-01-11, updated 2010-01-22)
Dedekind's eta-function and Rogers-Ramanujan identities
arXiv:math/0410592 [math.CO] (Published 2004-10-28, updated 2005-06-17)
Hall--Littlewood functions and the A_2 Rogers--Ramanujan identities
arXiv:2006.03878 [math.CO] (Published 2020-06-06)
Tiling proofs of Jacobi triple product and Rogers-Ramanujan identities

Links

Toolbox