Proof of Gessel's \(\gamma\)-positivity conjecture
The electronic journal of combinatorics, Tome 23 (2016) no. 3
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.
DOI :
10.37236/5797
Classification :
05A05, 11B68
Mots-clés : descents, inverse descents, Eulerian polynomials, \(\gamma\)-positivity
Mots-clés : descents, inverse descents, Eulerian polynomials, \(\gamma\)-positivity
Affiliations des auteurs :
Zhicong Lin  1
@article{10_37236_5797,
author = {Zhicong Lin},
title = {Proof of {Gessel's} \(\gamma\)-positivity conjecture},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {3},
doi = {10.37236/5797},
zbl = {1344.05007},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5797/}
}
Zhicong Lin. Proof of Gessel's \(\gamma\)-positivity conjecture. The electronic journal of combinatorics, Tome 23 (2016) no. 3. doi: 10.37236/5797
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