q-Appell functions and Kleshchev 2-multipartitions
Abstract Two double sums originating from the Ariki–Koike algebras are evaluated and generalized using a transformation of F. H. Jackson. Two combinatorial approaches to these identities are given, using 2-cores and overpartitions.
Authors
- Runqiao Li
- Dennis Stanton (ORCID: https://orcid.org/0009-0005-1509-7145)
- Ae Ja Yee (ORCID: https://orcid.org/0000-0001-5384-1370)
- Seunghyun Seo
Institutions
- University of Minnesota (US)
- Pennsylvania State University (US)
- Kangwon National University (KR)
- University of Minnesota System (US)
Publication Details
- Journal
- Arabian Journal of Mathematics
- Published
- 2025-11-06
- DOI
- https://doi.org/10.1007/s40065-025-00586-0
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00