Andrews-Gordon type series for Kanade-Russell conjectures

Kurşungöz, Kağan (2021) Andrews-Gordon type series for Kanade-Russell conjectures. In: Alladi, Krishnaswami and Berndt, Bruce C. and Paule, Peter and Sellers, James A. and Yee, Ae Ja, (eds.) George E. Andrews 80 Years of Combinatory Analysis. Trends in Mathematics. Birkhäuser Cham, Switzerland, pp. 481-534. ISBN 978-3-030-57049-1 (Print) 978-3-030-57050-7 (Online)

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We construct Andrews–Gordon type positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell. Thus, we obtain q-series conjectures as companions to Kanade and Russell’s combinatorial conjectures. We construct generating functions for missing partition enumerants as well, without claiming new partition identities.
Item Type: Book Section / Chapter
Uncontrolled Keywords: Andrews–Gordon identities; Kanade–Russell conjectures; Partition generating function
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Kağan Kurşungöz
Date Deposited: 02 Sep 2022 12:18
Last Modified: 02 Sep 2022 12:18

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