Báo cáo toán học: "Weighted Zeta Functions of Graph Coverings" docx

... − 2 3  2π 2 − 46 3  . The fourth derivative of the HC on the argument n, and the common radius is of the form Figure 8 The HC and its derivative with the HC maximum location and optimum for the value of the degree ... 2)  . In general, the HC of the mth derivative of n can be defined on the basis of the pro- duct of polygamma (psi) polynomial of t...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:21

... Journal of Mathematics 34:1 (2006) 51–61 Weighted Estimates of Multilinear Singular Integral Operators with Variable Calder´on-Zygmund Kernel for the Extreme Cases * Liu Lanzhe College of Math. ... C ||=m D A BMO . This completes the proof of Theorem 1.  Proof of Theorem 2. We only give the proof for case of homogeneous Herz type Hardy space. Without...

Ngày tải lên: 06/08/2014, 05:20

... 13, 1994. Abstract. Bounds on the number of simple zeros of the derivatives of a function are used to give bounds on the number of distinct zeros of the function. The Riemann ξ-function is defined ... generically, the left side of (7) equals N (j) s (T ). In other words, the zeros of the derivatives of a generic function are all simple, except for thos...

Ngày tải lên: 07/08/2014, 06:20

... shortly. the electronic journal of combinatorics 9 (2002), #R39 6 Linearly Independent Products of Rectangularly Complementary Schur Functions Michael Kleber Department of Mathematics Brandeis University Waltham, ... central box of R. Theorem. The squares of the self -complementary Schur functions, s 2 λ for λ = c ,are linearly independent of all other products...

Ngày tải lên: 07/08/2014, 07:21

... determinant of the character tables of finite symmetric groups. It is a well-known fact that if X n is the character table of the symmetric group S n , then the absolute value of the determinant of X n equals ... as the product of all parts of all partitions of n. It also equals b n , which is defined as the product of all factorials of all multiplicities of part...

Ngày tải lên: 07/08/2014, 07:21

... new class of admissible pairs of triangular sequences and prove a bijection between the set of admissible pairs of triangular sequences of length n and the set of parking functions of length ... Coding parking functions by pairs of permutations Yurii Burman Independent University of Moscow, 121002, 11, B.Vlassievsky per., Moscow, Russia burman@mccme.ru Michae...

Ngày tải lên: 07/08/2014, 07:21

... Distinguishing Cartesian Powers of Graphs Michael O. Albertson Department of Mathematics Smith College, Northampton, MA 01063 USA albertson@math.smith.edu Submitted: ... id}.Callm(σ)themotion of σ and m(G)themotion of G. Using an appealing probabilistic argument Russell and Sundaram showed that if the motion of G is large, then the distinguishing number of G is small. ... x.An...

Ngày tải lên: 07/08/2014, 08:22

... Theorem 10 makes it clear that the problem of factoring the generalized zeta function is really a problem of factoring the zeta function of a bipartite graph. Fortunately, in [11], Hashimoto deals with this ... instead. 3.1. Consequences of the Factorization Our first observation is that the zeta function of a hypergraph is a non-trivial gener- alization of the...

Ngày tải lên: 07/08/2014, 13:21

... runs over all equivalence classes of prime, reduced cycles of G, and | C | is the length of C. Zeta functions of graphs started from zeta functions of regular graphs by Ihara [8]. In [8], he showed ... Sato [10] showed that the zeta function of a regular covering of G is a product of L -functions of G. Stark and Terras [16] treated zeta functions of bipartit...

Ngày tải lên: 07/08/2014, 13:21

... give a decomposition formula (Theorem 4) for the Bartholdi zeta function of semiregular bipartite graph. As a corollary, we obtain a decomposition formula for the Bartholdi zeta function of some ... By the fact that B H = B H ∗ . ✷ 3 Bartholdi zeta functions of (d, r)-regular hypergraphs At first, we state a decomposition formula for the Bartholdi zeta function of a semiregular...

Ngày tải lên: 07/08/2014, 13:21

... proof of Theorem 1, and discussed three different zeta functions of any graph. Various proofs of Bass’ theorem were known. Kotani and Sunada [15] proved Bass’ theorem by using the property of ... Ihara zeta function of a fractal graph, and gave a determinant expression of it. We define the Bartholdi zeta function of a fractal graph, and present its determinant expressi...

Ngày tải lên: 07/08/2014, 21:21