منابع مشابه
A SYMMETRICAL q - EULERIAN IDENTITY
We find a q-analog of the following symmetrical identity involving binomial coefficients ( n m ) and Eulerian numbers An,m, due to Chung, Graham and Knuth [J. Comb., 1 (2010), 29–38]: ∑ k≥0 ( a + b k ) Ak,a−1 = ∑ k≥0 ( a + b k ) Ak,b−1. We give two proofs, using generating function and bijections, respectively.
متن کاملOn a General $q$-identity
In this paper, by means of the q-Rice formula we obtain a general q-identity which is a unified generalization of three kinds of identities. Some known results are special cases of ours. Meanwhile, some identities on q-generalized harmonic numbers are also derived.
متن کاملA new Q-matrix in the Eight-Vertex Model
We construct a Q-matrix for the eight-vertex model at roots of unity for crossing parameter η = 2mK/L with odd L, a case for which the existing constructions do not work. The new Q-matrix Q̂ depends on the spectral parameter v and also on a free parameter t. For t = 0 Q̂ has the standard properties. For t 6= 0, however, it does not commute with the operator S and not with itself for different val...
متن کاملA q-Foata Proof of the q-Saalschütz Identity
Dominique Foata [2] [6] gave a beautiful combinatonal proof or the following binomial coefficients identity, that is trivially equivalent to the famous PfaCSaalschutz identity: a + b a + e b + c (a + b + r-n)! (a + k) (e + k) (h + k)
متن کاملA NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11
Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q 11 is necessarily isomorphic to the group G 2 (q)
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1991
ISSN: 0097-3165
DOI: 10.1016/0097-3165(91)90066-p