Proof of Gessel's $\gamma$-Positivity Conjecture

  • Zhicong Lin
DOI: https://doi.org/10.37236/5797
Keywords: Descents, Inverse descents, Eulerian polynomials, $\gamma$-Positivity

Abstract

We prove a conjecture of Gessel, which asserts that the joint distribution of descents and inverse descents on permutations has a fascinating refined $\gamma$-positivity.
Published
2016-07-22
How to Cite
Lin, Z. (2016). Proof of Gessel’s $\gamma$-Positivity Conjecture. The Electronic Journal of Combinatorics, 23(3), P3.15. https://doi.org/10.37236/5797
Issue
Volume 23, Issue 3 (2016)
Article Number
P3.15