A partition bijection related to the Rogers--Selberg identities and Gordon's theorem
Combinatorics
2018-12-14 v1
Abstract
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities. The implications of applying the same map to a special case of David Bressoud's even modulus analog of Gordon's theorem are also explored.
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Cite
@article{arxiv.1812.05580,
title = {A partition bijection related to the Rogers--Selberg identities and Gordon's theorem},
author = {Andrew V. Sills},
journal= {arXiv preprint arXiv:1812.05580},
year = {2018}
}
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22 pages