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  • Title
    Doubloons and q-secant numbers
  • Author
    Foata, Dominique ; Foata, D. ; Han, Guo-Niu ; Han, Guoniu
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 89-110
  • Published
    2010
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-16409480239 
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  •  The document is publicly available on the WWW
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Abstract
  • Based on the evaluation at t = −1 of the generating polynomial for the hyperoctahedral group by the number of descents, an observation recently made by Hirzebruch, a new q-secant number is derived by working with the Chow-Gessel q-polynomial involving the flag major index. Using the doubloon combinatorial model we show that this new q-secant number is a polynomial with positive integral coefficients, a property apparently hard to prove by analytical methods.
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