English

The AFLT $q$-Morris constant term identity

Combinatorics 2022-10-25 v1

Abstract

It is well-known that the Selberg integral is equivalent to the Morris constant term identity. More generally, Selberg type integrals can be turned into constant term identities for Laurent polynomials. In this paper, by extending the Gessel--Xin method of the Laurent series proof of constant term identities, we obtain an AFLT type qq-Morris constant term identity. That is a qq-Morris type constant term identity for a product of two Macdonald polynomials.

Cite

@article{arxiv.2210.13245,
  title  = {The AFLT $q$-Morris constant term identity},
  author = {Yue Zhou},
  journal= {arXiv preprint arXiv:2210.13245},
  year   = {2022}
}

Comments

39 pages

R2 v1 2026-06-28T04:21:38.267Z