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Coefficients and Roots of Peak Polynomials

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Publication:2802005
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DOI10.1080/10586458.2015.1051193zbMath1338.05002arXiv1410.8506OpenAlexW3099604818MaRDI QIDQ2802005

Matthew Fahrbach, Alan Talmage, Sara C. Billey

Publication date: 22 April 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8506


zbMATH Keywords

combinatoricspermutationbinomial coefficientpeak


Mathematics Subject Classification ID

Permutations, words, matrices (05A05)


Related Items (8)

Peaks on Graphs ⋮ Roots of descent polynomials and an algebraic inequality on hook lengths ⋮ A proof of the peak polynomial positivity conjecture ⋮ Some coefficient sequences related to the descent polynomial ⋮ A proof of the peak polynomial positivity conjecture ⋮ Descent polynomials ⋮ The pinnacle set of a permutation ⋮ Cyclic pattern containment and avoidance


Uses Software

  • SageMath
  • OEIS


Cites Work

  • A local Riemann hypothesis. I
  • Location of Zeros of Chromatic and Related Polynomials of Graphs
  • On the zeros of certain polynomials
  • XXII.—Some Distributions associated with a Randomly Arranged Set of Numbers


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