Báo cáo toán học: "Weighted Zeta Functions of Graph Coverings" docx
Báo cáo toán học: " Some certain properties of the generalized hypercubical functions" ppt
... −
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...
Báo cáo toán học: "Bi-invariant subspaces of weak contractions " docx
... class="bi x1 y1 w2 h 2" alt =""
Báo cáo toán học: "Spectral shift functions that arise in perturbations of a positive operator. (Russian) " ppsx
... class="bi x0 y0 w2 h 1" alt =""
Báo cáo toán học: "Weighted Estimates of Multilinear Singular Integral Operators with Variable Calder´n-Zygmund Kernel for the Extreme Cases" ppt
... 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...
Báo cáo toán học: "Counting distinct zeros of the Riemann zeta-function" docx
... 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...
Báo cáo toán học: "Linearly Independent Products of Rectangularly Complementary Schur Functions" doc
... 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...
Báo cáo toán học: "Regular character tables of symmetric groups" docx
... 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...
Báo cáo toán học: "Coding parking functions by pairs of permutations" docx
... 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...
Báo cáo toán học: "Distinguishing Cartesian Powers of Graph" ppsx
... 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...
Báo cáo toán học: "The Zeta Function of a Hypergraph" potx
... 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...
Báo cáo toán học: "Weighted Zeta Functions of Graph Coverings" docx
... 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...
Báo cáo toán học: "Bartholdi Zeta Functions for Hypergraphs" doc
... 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...
Báo cáo toán học: "Bartholdi Zeta Functions of Fractal Graphs" pptx
... 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...