本刊英文版Vol.28(2012),No.2论文摘要(英文)

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本刊英文版Vol.27(2011),No.2论文摘要(英文)

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本刊英文版Vol.27(2011),No.1论文摘要(英文)

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本刊英文版Vol.28(2012),No.8论文摘要(英文)

<正>Estimating Complex Covariance by Observing Two Variables at a Time C.S.WITHERS S.NADARAJAH O.NφRKLI R.RAICH R.G.VAUGHAN     

本刊英文版Vol.28(2012),No.7论文摘要(英文)

<正>Exponential Polynomials as Solutions of Certain Nonlinear Difference Equations Zhi Tao WEN Janne HEITTOKANGAS Ilpo LAINE Abstract Recently,C.-C.Yang and I.Laine have investigated finite order entire solutions     

本刊英文版Vol.20(2004),No.1论文摘要(英文)

<正> Non-Zero Degree Maps Between 2n-ManifoldsHai Bao DUAN Shi Cheng WANGAbstract Thom-Pontrjagin constructions are used to give a computable necessary andsufficient condition for a homomorphism φ : Hn(L;Z) → Hn(M;Z) to be realized by a map f : M → L of degree k for closed (n - 1)-connected 2n-manifolds M and L, n > 1. A corollary is that each (n - l)-connected 2n-manifold admits selfmaps of degree larger than 1, n > 1.In the most interesting case of dimension 4, with the additional surgery arguments we give     

本刊英文版Vol.26(2010),No.12论文摘要(英文)

<正>Distances between Elements of a Semigroup and Estimates for Derivatives Zohra BENDOUAD Isabelle CHALENDAR Jean ESTERLE Jonathan R.PARTINGTON Abstract This paper is concerned first with the behaviour of differences T(t) - T(s) near the origin,where(T(t)) is a semigroup of operators on a Banach space,defined either on the positive real line or a sector in the right half-plane(in which case it is assumed analytic).For the non-quasinilpotent case extensions of results in the published literature are provided,with best possible constants;in the case of quasinilpotent semigroups on the half-plane,it is shown     

本刊英文版Vol.27(2011),No.10论文摘要(英文)

<正>On the Boundedness of Rough Oscillatory Singular Integrals on Triebel-Lizorkin Spaces Hussain AL-QASSEM Leslie CHENG Yi Biao PAN Abstract We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase.By using these bounds and using an extrapolation argument we obtain some new and previously known results for oscillatory integrals under very weak size conditions on the kernel functions.     

本刊英文版Vol.26(2010),No.4论文摘要(英文)

<正>Multi-parameter Triebel-Lizorkin and Besov Spaces Associated with Flag Singular Integrals Yong DING Guo Zhen LU Bo Lin MA Though the theory of one-parameter Triebel-Lizorkin and Besov spaces has been very well developed in the past decades,the multi-parameter counterpart of such a theory is still absent.The main purpose of this paper is to develop a theory of multi-parameter Triebel-     

本刊英文版Vol.28(2012),No.4论文摘要(英文)

<正>On a Variant of Giuga Numbers Jose Maria GRAU Florian LUCA Antonio M.OLLER-MARCEN In this paper,we characterize the odd positive integers n satisfying the congruence∑_(j=1)~(n-1) j~((n-1)/2) = 0(rood n).We show that the set of such positive integers has an asymptotic density which turns out to be slightly larger than 3/8.     

本刊英文版Vol.26(2010),No.3论文摘要(英文)

<正>A Decomposition Theorem for G-GroupsⅠ.LIZASOAIN Some classical results about linear representations of a finite group G have been also proved for representations of G on non-abelian groups(G-groups).In this paper we establish a decomposition theorem for irreducible G-groups which expresses a suitable irreducible G-group as a tensor product of two projective G-groups in a similar way to the celebrated theorem of Clifford for linear representations.Moreover,we study the non-abelian minimal normal subgroups of G in which this decomposition is possible.     

本刊英文版Vol.27(2011),No.9论文摘要(英文)

<正>Graphs Whose Critical Groups Have Larger Rank Yao Ping HOU Wai Chee SHIU Wai Hong CHAN Abstract The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix.Let r(G) be the minimum number of generators(i.e.,the rank) of the group C(G) andβ(G) be the number of independent     

本刊英文版Vol.30(2014),No.9论文摘要(英文)

<正>Least Number of Periodic Points of Self-maps of Lie Groups Jerzy JEZIERSKI Abstract There are two algebraic lower bounds of the number of n-periodic points of a self-map f:M→M of a compact smooth manifold of dimension at least 3:NF_n(f)=min{#Fix(g~n);g~f;g is continuous}and NJD_n(f)=min{#Fix(g~n);g~f;g is smooth}.In general,NJD_n(f)may be much greater than NF_n(f).If M is a torus,then the invariants are     

本刊英文版Vol.28(2012),No.3论文摘要(英文)

<正>Closed 3-stop Center and Periphery in Graphs Linda EROH Ralucca GERA Steven J.WINTERS A delivery person must leave the central location of the business,deliver packages at a number of addresses,and then return.Naturally,he/she wishes to reduce costs by finding the most efficient route.This motivates the following: Given a set of k distinct vertices S = {x_1,x_2,…,x_k} in a simple graph G,the closed k-stop-distance of set S is defined to be     

本刊英文版Vol.29(2013),No.12论文摘要(英文)

<正>On Strong Kadison-Singer Algebras Ai Ju DONG Dong WANG Abstract We show that many Kadison-Singer algebras are maximal triangular in all algebras containing them although their definition requires the maximality taken in the class of reflexive algebras.Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified.     

本刊英文版Vol.25(2009),No.12论文摘要

<正>Pfaffians and Representations of the Symmetric Group Alain LASCOUX Pfaffians of matrices with entries z[i,j]/(x_i+x_j),or determinants of matrices with entries z[i,j]/(x_i-x_j),where the antisymmetrical indeterminates z[i,j]satisfy the Pl_(u|¨)cker relations,can be identified with a trace in an irreducible representation of a product of two     

本刊英文版Vol.27(2011),No.4论文摘要(英文)

<正>Distribution of a Certain Partition Function Modulo Powers of Primes Hei-Chi CHAN Abstract In this paper,we study a certain partition function a(n) defined by∑_n≥0 a(n)q~n :=П_(n=1)(1 - q~n)~(-1)(1 - q~(2n)~(-1).We prove that given a positive integer j≥1 and a prime m≥5, there are infinitely many congruences of the type a(An + B)≡0(mod m~j).This work is inspired by Ono's ground breaking result in the study of the distribution of the partition function p(n).     

本刊英文版Vol.28(2012),No.12论文摘要

<正>Nordhaus-Gaddum Results for the Sum of the Induced Path Number of a Graph and Its Complement Johannes H.HATTINGH Lucas C.VAN DER MERWE Ossama A.SALEH Terry J.WALTERS     

本刊英文版Vol.27(2011),No.7论文摘要

<正>A Semilinear Elliptic Equation with Double Resonance Mei Yue JIANG Ming Zheng SUN Abstract In this paper,the existence and multiplicity of a class of double resonant semilinear elliptic equations with the Dirichlet boundary value are studied. Asymptotic Formulae for Multivariate Kantorovich Type Generalized Sampling Series     

本刊英文版Vol.30(2014),No.11论文摘要(英文)

<正>On Equivalence of Simple Closed Curves in Flat Surfaces Zong Liang SUN Abstract By explicit constructions,we give direct proofs of the following results:for any distinct homotopy classes of simple closed curvesαandβin a closed surface of genus g1,there exist a hyperbolic structure X and a holomorphic quadratic differential q on X such that