Báo cáo toán học: "GENERATING FUNCTIONS AND GENERALIZED DEDEKIND SUM" pptx

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Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:21

... ⊂ R → R and an arbitrary linear function always has property (α γ ), then f must be outer Outer γ- Convexity and Inner γ- Convexity of Disturbed Functions 109 γ- convex, i.e., only outer γ- convex ... follow- ing. Vietnam Journal of Mathematics 35:1 (2007) 107–119 Outer γ γ γ -Convexity and Inner γ γ γ -Convexity of Disturbed Functions Hoang...

Ngày tải lên: 06/08/2014, 05:20

... θ 2 B G (r)/2+o u (θ 3 g(r) 1+ ) (19) for all >0. Proof: Using the asymptotic formula for the coefficients of admissible functions and an argument like that in Hayman’s proof of Theorem H.II, the results for a and B follow ... .WeextendR and Θ to include these variables by forming the Cartesian product of R with copies of (0, ∞) and the Cartesian product of Θ...

Ngày tải lên: 07/08/2014, 06:20

... harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on the infinite symmetric group. Our method relies on multi- variate ... this section, we deal with an abstract graph G satisfying certain conditions listed below. In the next sections, concrete examples of G will be considered. Our assumptions...

Ngày tải lên: 07/08/2014, 06:20

... Proposition 4.1. GENERATING FUNCTIONS AND GENERALIZED DEDEKIND SUMS Ira M. Gessel Department of Mathematics Brandeis University Waltham, MA 02254-9110 gessel@math.brandeis.edu Submitted: August ... N j (x)andD j (x) are algebraic functions of x,andT(x)isarational function of x.MorepreciselyT(x)is0ifthedegreeofPis less than that of Q, T (x)is−1 if the degree of P is greater, and i...

Ngày tải lên: 07/08/2014, 06:22

... contains both b and d,thenB= B  . We establish some connections between parking functions and noncrossing partitions. A generating function for the flag f -vector of the lattice NC n+1 of noncrossing ... Simion and R. Stanley, Flag-symmetry of the poset of shuffles and a local action of the symmetric group, in preparation. [27] R. Simion and D. Ullman, On the structure of the la...

Ngày tải lên: 07/08/2014, 06:22

... taken with multiplicity 2. Crooked Functions, Bent Functions, and Distance Regular Graphs T.D. Bending D. Fon-Der-Flaass School of Mathematical Sciences, Queen Mary and Westfield College, London ... {(a, i, α)}; vertices (a, i, α )and( b, j, β) are adjacent if and only if they are distinct, and α + β = D(a, i; b, j). PROPOSITION 13 The graph G Q is distance regular wit...

Ngày tải lên: 07/08/2014, 06:22

... motivations of Odlyzko and Wilf, when they study the width of labeled trees, is to give a tight estimate for the average bandwidth of this class of tree. 2 The breadth first search random walk From ... initially (0). Then, at each of the n following stages of the BFS, the vertex x at the head of the queue is removed from the queue, and all “new” neighbor...

Ngày tải lên: 07/08/2014, 06:22

... is a natural action of S n on the set of parking functions, which permutes the a j . There is also an action of S n on the set of factorizations, which goes as follows. We define an action of ... local action of S n on V NC n+1 in [S], Proposition 4.1. Thus we have two actions of S n , one on factorizations and one on parking functions, and the map we are looking at is...

Ngày tải lên: 07/08/2014, 06:23

... (2006), #A5 14 1.4 Alternating polynomials and Schur functions 1.4. Alternating polynomials and Schur functions. Now fix n ∈ N,andletA [n] denote the additive subgroup of Z[X [n] ] of alternating poly- nomials, ... ∈Pand α ∈C, the Kostka number K λ/µ,α equals the number # SST(/à, ) of semistandard tableaux of shape /à and weight ,and K /à, is the number of transposed semista...

Ngày tải lên: 07/08/2014, 08:22

... Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to F 2 Bart De Bruyn ∗ Department of Pure Mathematics and Computer Algebra Ghent University, ... conclusions remain valid for symplectic and Hermitian dual polar spaces over infinite fields. A consequence of this is that every Grassmann-embedding of a symplectic...

Ngày tải lên: 07/08/2014, 15:22

... be the permutation corresponding to the transposed of B. We start with A 0,0 . Let A x,z be the matrix we have after k − 1 steps. Let the first row of A x,z be row number r and the first column of ... first column of A x,z be column number s of the original A 0,0 . Let the number of erased columns j such that j < p r be t k and the number the electronic...

Ngày tải lên: 08/08/2014, 01:20

... q 2n−4 1 . We note that our second method can be applied to obtain generating functions for any L-tuple of permutations Σ which are to contain a given set S of common descents and a given set T of ... (1.2) A surprisingly large number of results on generating functions for various permutation statistics that have appeared in the literature as well as a large number o...

Ngày tải lên: 08/08/2014, 12:22

... u s,s , are algebraic over F (z). the electronic journal of combinatorics 18 (2011), #P5 3 Generating functions attached to some infinite matrices Paul Monsky Brandeis University Waltham MA 02454-9110, ... automorphism of the splitting field that is the id e ntity on F (z) a nd permutes the roots that hav e positive ord among themselves. The goal of this section is to show that so...

Ngày tải lên: 08/08/2014, 12:23