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Doubloons and q-secant numbers

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.

Titel: Doubloons and q-secant numbers
Verfasser: Foata, Dominique GND
Han, Guo-Niu GND
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2010
Publikation in MIAMI: 22.11.2010
Datum der letzten Änderung: 08.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 3 (2010), S. 89 - 110
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-16409480239