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Papers

Proof of Gessel’s γ-positivity conjecture

  • Research Fields산업수학센터
  • AuthorZhicong Lin
  • JournalThe Electronic Journal of Combinatorics 23(3) (2016
  • Classification of papersSCI
  • Keyworddescents; inverse descents; Eulerian polynomials; γ-positivity

We prove a conjecture of Gessel, which asserts that the joint distribution of descents and inverse descents on permutations has a fascinating refined γ-positivity. 

We prove a conjecture of Gessel, which asserts that the joint distribution of descents and inverse descents on permutations has a fascinating refined γ-positivity.