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arXiv · 2006.09216

Looking for a new member of Gordon's identities

Pooneh Afsharijoo
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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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Pooneh Afsharijoo. 2020-06-13. Looking for a new member of Gordon's identities. https://doi.org/10.1007/s00026-021-00530-x

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