共查询到20条相似文献,搜索用时 0 毫秒
1.
Jeremy Lovejoy 《Annals of Combinatorics》2005,9(3):321-334
We discuss conjugation and Dyson’s rank for overpartitions from the perspective of the Frobenius representation. More specifically,
we translate the classical definition of Dyson’s rank to the Frobenius representation of an overpartition and define a new
kind of conjugation in terms of this representation. We then use q-series identities to study overpartitions that are self-conjugate with respect to this conjugation.
Received June 28, 2004 相似文献
2.
We study finite rank semicommutators and commutators of Toeplitz operators on the Bergman space with quasihomogeneous symbols.
We show that in this context, the situation is different from the case of harmonic Toeplitz operators.
Submitted: July 23, 2007. Accepted: December 4, 2007. 相似文献
3.
Jeffrey L. Meyer 《The Ramanujan Journal》2007,14(1):79-88
This paper considers a generalization of an integral introduced by S. Ramanujan in his third notebook. Ramanujan’s integral
is itself a version of the dilogarithm,
We prove various functional equations and properties of the generalized integral.
2000 Mathematics Subject Classification Primary–33B30 相似文献
4.
Let M be complete nonpositively curved Riemannian manifold of finite volume whose fundamental group Γ does not contain a finite
index subgroup which is a product of infinite groups. We show that the universal cover is a higher rank symmetric space iff is injective (and otherwise the kernel is infinite dimensional). This is the converse of a theorem of Burger–Monod. The proof
uses the celebrated Rank Rigidity Theorem, as well as a new construction of quasi-homomorphisms on groups that act on CAT(0)
spaces and contain rank 1 elements.
Received: September 2007, Accepted: March 2008 相似文献
5.
We consider a simple Allen-Cahn-Gurtin model with a logarithmic potential. We show that strong solutions exist locally in
time, but not globally in general. This is due to a lack of maximum principle.
相似文献
6.
Let f be an integral homogeneous polynomial of degree d, and
let
be the level set for each
. For a compact
subset in
), set
We define the notion of Hardy-Littlewood system for the sequence {Vm},
according as the asymptotic of
as
coincides
with the one
predicted by Hardy-Littlewood circle method. Using a recent work of Eskin
and Oh [EO], we then show for a large family of invariant polynomialsf,
the level sets {Vm} are Hardy-Littlewood. In particular, our results yield
a new proof of Siegel mass formula for quadratic forms. 相似文献
7.
The validity of the axiomatization of the Harsanyi solution for NTU-games by Hart (1985) is shown to depend on the regularity conditions imposed on games. Following this observation, we propose two related axiomatic characterizations, one of the symmetric egalitarian solution (Kalai and Samet, 1985) and one of the consistent solution (Maschler and Owen, 1992). The three axiomatic results are studied, evaluated and compared in detail.Revised October 2004We thank an anonymous referee and an associate editor for their helpful comments. Geoffroy de Clippel also thanks Professors Sergiu Hart, Jean-François Mertens and Enrico Minelli. Horst Zank thanks the Dutch Science Foundation NWO and the British Council for support under the UK-Netherlands Partnership Programme in Science (PPS 706). The usual disclaimer applies. 相似文献
8.
We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables
us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise
thek-affine complete finite Frobenius groups for everyk ∈ N. 相似文献
9.
F. Loose 《Journal of Geometric Analysis》2000,10(2):323-337
Let (X, ω) be a symplectic manifold and ι: M ? X an isotropic embedding, ι*ω = 0. The isotropie embedding theorem gives a local normal form of X in a neighborhood of M, in particular a natural potential α of ω, ?dα = ω. Now, given certain geometrical structures on M and on the symplectic normal bundle of M, in particular inducing a natural energy momentum function H in a neighborhood of M, we construct a natural complex structure J in a neighborhood of M satisfying certain initial conditions associated to the given initial data along M and satisfying the equation (in J): dc H = α. This generalizes a theorem of Guillemin-Stenzel and Lempert-Szöke in the Lagrangean case. 相似文献
10.
Eduardo Hernández Morales Hernán R. Henríquez Mark A. McKibben 《Integral Equations and Operator Theory》2008,62(2):191-217
We establish existence of mild solutions for a class of abstract second-order partial neutral functional differential equations
with unbounded delay in a Banach space.
The work of the second author was supported by FONDECYT-CONICYT, Grants 1050314 and 7050034. 相似文献
11.
We prove that a tournament with n vertices has more than arc-disjoint transitive triples, and more than arc-disjoint transitive quadruples, improving earlier bounds. In particular, 82 percent of the arcs of a tournament can be
packed with transitive triples and 45 percent of the arcs of a tournament can be packed with transitive quadruples. Our proof
is obtained by examining the fractional version of the problem and utilizing a connection between the integral and fractional
versions.
Received October 12, 2005 相似文献
12.
Miklós Dormán 《Algebra Universalis》2008,58(4):479-492
In this paper we determine all collapsing transformation monoids that contain at least one unary constant operation and whose
nonconstant operations are permutations. Furthermore, we find an infinite family of transformation monoids that consist of
at least three unary constant operations and some permutations for which the corresponding monoidal intervals are 2-element
chains.
This research is supported by Hungarian National Foundation for Scientific Research grant nos. T 37877 and K 60148. 相似文献
13.
Egbert Harzheim 《Order》2008,25(2):79-83
We construct a subset of the set R of real numbers of cardinality |R| which has a similarity decomposition, and which has
an ordertype < that of R. Seymour Ginsburg had posed the question whether there exist sets with another ordertype than that
of R which also have a similarity decomposition.
相似文献
14.
Thomas A. Willging 《Archiv der Mathematik》2008,91(4):323-329
In this work we discuss Schmutz’s conjecture that in dimension 2 to 8 the distinct norms that occur in the lattices with the
best known sphere packings are strictly greater than those in any other lattice of the same covolume. We see that the ternary
conjecture is not true. However, it seems that there is but one exception: one lattice, where for one length the conjecture
fails.
Received: 11 February 2008, Revised: 20 May 2008 相似文献
15.
Shuichi Sato 《Integral Equations and Operator Theory》2008,62(3):429-440
We prove certain L
p
-estimates for Littlewood-Paley functions arising from rough kernels. The estimates are useful for extrapolation to prove
L
p
-boundedness of the Littlewood-Paley functions under a sharp kernel condition.
相似文献
16.
Letg be the function which maps conformally a rectangleR onto a simply connected domainG so that the four vertices ofR are mapped respectively onto four specified pointsz
1,z
2,z
3,z
4 onG. This paper is concerned with the study of a domain decomposition method for computing approximations tog and to an associated domain functional in cases where: (i)G is bounded by two parallel straight lines and two Jordan arcs. (ii) The four pointsz
1,z
2,z
3,Z
4, are the corners where the two straight lines meet the two arcs.Communicated by Dieter Gaier. 相似文献
17.
We prove that the so-called Smoluchowski-Kramers approximation holds for a class of partial differential equations perturbed
by a non-Gaussian noisy term. Namely, we show that the solution of the one-dimensional semi-linear stochastic damped wave
equations
, u(0) = u0, ut (0) = v0, endowed with Dirichlet boundary conditions, converges as the parameter μ goes to zero to the solution of the semi-linear
stochastic heat equation
, u(0) = u0, endowed with Dirichlet boundary conditions.
Dedicated to Giuseppe Da Prato on the occasion of his 70th birthday 相似文献
18.
Anand Prakash Singh 《Proceedings Mathematical Sciences》1988,98(1):25-30
We study the slowly changing functions and use them in the study of entire functions.
An erratum to this article is available at . 相似文献
19.
Recently, Chawla et al. described a second order finite difference method for the class of singular two-point boundary value problems:
相似文献
20.
In this paper, a new criterion of the non-existence of periodic solutions for a generalized liénard system
|