Báo cáo toán học: "Depth reduction of a class of Witten zeta functions" pdf

... proof. Lemma 2.4. Every Witten multiple zeta value of the form ζ sl(4) (a, b, 1, d, 0, 1) with a, b, d ∈ N can be expressed as a rational linear combination of products of single and double Euler sums ... multiple zeta value of the form ζ sl(4) (a, b, c, d, 0 , f ) with a, b, c, d, f, ∈ N can be expressed as a rational linear combination of products of single and dou...

Ngày tải lên: 07/08/2014, 21:21

... that the set of permutations generated by a stack of depth two and an infinite stack in series has a basis (defining set of forbidden patterns) consisting of 20 permutations of length 5, 6, 7 and ... permutations generated by token pass- ing networks via finite state automata, http://www-groups.dcs.st-and.ac.uk/~sal [7] Max Murphy. Restricted permutations, antichains, atomic classe...

Ngày tải lên: 07/08/2014, 13:21

... U A =  H A H of an arrangement A. The result by Ziegler & ˇ Zivaljevi´c is actually far more general and is valid for general arrangements of linear subspaces. Here, we state an equivariant version ... combinatorics of an arrangement of hyperplanes in C n that generalizes the classical braid arrangement. The arrangement plays in important role in the work of Schechtman &...

Ngày tải lên: 07/08/2014, 06:20

... observation makes it apparent that similar replace- ments in the rest of Step 1 of Proposition 5 will produce a valid proof of Lemma 7. In particular, in (4.17), in the statements of Claim 1 and Claim ... to give a short inductive proof of the determinant evaluation in Theorem 10 (and also of its q-analogue in [9]), and could also be used to give an inductive proof of the de...

Ngày tải lên: 07/08/2014, 06:20

... assymptotically the function f(G; d) for the class G of k-colorable graphs and the class M of matchings. For the class S of graphs with at most one edge, we were not able to obtain matching lower and ... of graphs. A d-fold grid over G is a graph obtained from a d-dimensional rectangular grid of vertices by placing a graph from G on each of the lines parallel to one...

Ngày tải lên: 07/08/2014, 21:21

... journal of combinatorics 17 (2010), #R19 14 Counting subwords in a partition of a set Toufik Mansour Department of Mathematics, University of Haifa, 31905 Haifa, Israel toufik@math.haifa.ac.il Mark ... − xA a 1 , which implies that A a = A a−1 + xA a 1  A a−1 −  a 2 m−1  x ℓ−2 (1 − y)  1 − xA a 1 = A a−1  1 −  a 2 m−1  x ℓ−1 (1 − y)  1 − xA a 1 . the electroni...

Ngày tải lên: 08/08/2014, 11:20

... became aware of a recent paper [10] by Daud´e and Ravelomanana. They studied a close but different case, when a system of m equations is chosen uniformly at random among all n(n − 1) equations of ... −2k)/3) , (A. 1) and the inequalities (1/2) a+ b+2 a + b + 2  Γ (a + 1)Γ(b + 1) Γ (a + b + 2)  a a b b (a + b) a+ b  1, (a  0, b  0), which follow from a classic form...

Ngày tải lên: 08/08/2014, 12:22

... equations Huantao Zhu 1 and Weibing Wang ∗2 1 Hunan College of Information, Changsha, Hunan 410200, P.R. China 2 Department of Mathematics, Hunan University of Science and Technology, Xiangtan, ... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Periodic solutions for a class...

Ngày tải lên: 18/06/2014, 22:20

... Boundary Value Problems. Chapman and hall/CRC Press, Boca Raton (2005) 10. Gasiński, L, Papageorgiou, NS: Nontrivial solutions for a class of resonant p-Laplacian Neumann problems. Nonlinear Anal. ... (1986) doi:10.1186/1687-2770-2011-32 Cite this article as: Yang and Zhang: Existence results for a class of nonlocal problems involving p-Laplacian. Boundary Value Problems 2011 2011...

Ngày tải lên: 20/06/2014, 22:20