1998/01/02 by Bruce E. Sagan, Ping Zhang
Mathematics · #math.CO #msc:11B68 #msc:11A07 #msc:11B65 #msc:05A30
published as Southeast Asian Bull. Math. 21 (1997), 73-78 · 9 pages, 0 figures, Latex, see related papers at http://www.math.msu.edu/~sagan
arxiv created 1998/01/02 · arxiv updated 2009/11/30
The generalized Euler number En|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 En|k. In particular, we generalize two theorems of Andrews and Gessel about factors of the q-tangent numbers.