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arXiv:1808.01432 [math.CO]AbstractReferencesReviewsResources

Andrews-Gordon Type Series for Kanade-Russell Conjectures

Kağan Kurşungöz

Published 2018-08-04Version 1

We construct Andrews-Gordon type evidently positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell. We construct generating functions for missing partition enumerants, naturally without claiming new partition identities. Thus, we obtain $q$-series conjectures as companions to Kanade and Russell's combinatorial conjectures.

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