Looking for a new member of Gordon's identities
Algebraic Geometry
2021-11-11 v2 Commutative Algebra
Combinatorics
Abstract
We give a commutative algebra viewpoint on Andrews recursive formula for the partitions appearing in "Gordon's identities", which are a generalization of Rogers-Ramanujan identities. Using this approach and differential ideals we conjecture a family of partition identities which extend Gordon's identities. This family is indexed by r >=2. We prove the conjecture for r=2 and r=3.
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Cite
@article{arxiv.2006.09216,
title = {Looking for a new member of Gordon's identities},
author = {Pooneh Afsharijoo},
journal= {arXiv preprint arXiv:2006.09216},
year = {2021}
}
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