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 combina...
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| FB/Einrichtung: | FB 10: Mathematik und Informatik |
| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2010 |
| Publikation in MIAMI: | 22.11.2010 |
| Datum der letzten Änderung: | 08.05.2015 |
| Quelle: | Münster Journal of Mathematics, 3 (2010), S. 89-110 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-16409480239 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-16409480239 |
| Onlinezugriff: | mjm_vol_3_06.pdf |
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.