English

On Kadell's two Conjectures for the $q$-Dyson Product

Combinatorics 2010-09-08 v1

Abstract

By extending Lv-Xin-Zhou's first layer formulas of the qq-Dyson product, we prove Kadell's conjecture for the Dyson product and show the error of his qq-analogous conjecture. With the extended formulas we establish a qq-analog of Kadell's conjecture for the Dyson product.

Keywords

Cite

@article{arxiv.1009.1291,
  title  = {On Kadell's two Conjectures for the $q$-Dyson Product},
  author = {Yue Zhou},
  journal= {arXiv preprint arXiv:1009.1291},
  year   = {2010}
}

Comments

15 pages

R2 v1 2026-06-21T16:10:30.218Z