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Symmetric function generalizations of the q-Baker--Forrester ex-conjecture and Selberg-type integrals.
- Source :
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Transactions of the American Mathematical Society . 2024, Vol. 377 Issue 6, p4303-4363. 61p. - Publication Year :
- 2024
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Abstract
- It is well-known that the famous Selberg integral is equivalent to the Morris constant term identity. In 1998, Baker and Forrester conjectured a generalization of the q-Morris constant term identity[J. Combin. Theory Ser. A 81 (1998), pp. 69–87]. This conjecture was proved and extended by Károlyi, Nagy, Petrov, and Volkov (KNPV) in 2015 [Adv. Math. 277 (2015), pp. 252–282]. In this paper, we obtain two symmetric function generalizations of the q-Baker–Forrester ex-conjecture. These include: (i) a q-Baker–Forrester type constant term identity for a product of a complete symmetric function and a Macdonald polynomial; (ii) a complete symmetric function generalization of KNPV's result. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMMETRIC functions
*GENERALIZATION
*MATHEMATICS
*LOGICAL prediction
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 377
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 177372852
- Full Text :
- https://doi.org/10.1090/tran/9142