7 citations · 11 across the 3 of their papers we have counts for
4 papers
Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers
Curtis Bennett, Juan Carrillo, John Machacek +1
The Lucas sequence is a sequence of polynomials in s, and t defined recursively by {0}=0, {1}=1, and {n}=s{n-1}+t{n-2} for n >= 2. On specialization of s and t one can recover the…
Congruence classes of 2-adic valuations of Stirling numbers of the second kind
Curtis Bennett, Edward Mosteig
We analyze congruence classes of , the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna…
On axiomatic definitions of non-discrete affine buildings
Curtis D. Bennett, Petra N. Schwer, Koen Struyve
In this paper we prove equivalence of sets of axioms for non-discrete affine buildings, by providing different types of metric, exchange and atlas conditions. We apply our result t…
Affine -Buildings II
Curtis D. Bennett
The purpose of this paper is to provide an easier set of axioms for Affine -Buildings by extending results of Anne Parreau on the equivalence of axioms for Euclidean buildings.…