Arithmetic properties of generalized Euler numbers
| dc.creator | Sagan, Bruce E. | |
| dc.creator | Zhang, Ping | |
| dc.date | 1998-01-02 | |
| dc.date.accessioned | 2026-07-07T05:23:29Z | |
| dc.date.available | 2026-07-07T05:23:29Z | |
| dc.description | The generalized Euler number E_{n|k} counts the number of permutations of {1,2,...,n} which have a descent in position m if and only if m is divisible by k. The classical Euler numbers are the special case when k=2. In this paper, we study divisibility properties of a q-analog of E_{n|k}. In particular, we generalize two theorems of Andrews and Gessel about factors of the q-tangent numbers. | |
| dc.description | 9 pages, 0 figures, Latex, see related papers at http://www.math.msu.edu/~sagan | |
| dc.identifier | https://arxiv.org/abs/math/9801010 | |
| dc.identifier | http://arxiv.org/abs/math/9801010 | |
| dc.identifier | Southeast Asian Bull. Math. 21 (1997), 73-78 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76454 | |
| dc.subject | Combinatorics | |
| dc.subject | 11B68 (Primary) 11A07, 11B65, 05A30 (Secondary) | |
| dc.title | Arithmetic properties of generalized Euler numbers | |
| dc.type | text |