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MATHEMATICS (647 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 3)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 18)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 17)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 2)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 12)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Acta Mathematica Sinica, English Series
  [SJR: 0.406]   [H-I: 30]   [5 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1439-8516 - ISSN (Online) 1439-7617
   Published by Springer-Verlag Homepage  [2345 journals]
  • A comparison between the metric dimension and zero forcing number of trees
           and unicyclic graphs
    • Authors: Linda Eroh; Cong X. Kang; Eunjeong Yi
      Pages: 731 - 747
      Abstract: The metric dimension dim(G) of a graph G is the minimum number of vertices such that every vertex of G is uniquely determined by its vector of distances to the chosen vertices. The zero forcing number Z(G) of a graph G is the minimum cardinality of a set S of black vertices (whereas vertices in V(G)S are colored white) such that V(G) is turned black after finitely many applications of “the color-change rule”: a white vertex is converted black if it is the only white neighbor of a black vertex. We show that dim(T) ≤ Z(T) for a tree T, and that dim(G) ≤ Z(G)+1 if G is a unicyclic graph; along the way, we characterize trees T attaining dim(T) = Z(T). For a general graph G, we introduce the “cycle rank conjecture”. We conclude with a proof of dim(T) − 2 ≤ dim(T + e) ≤ dim(T) + 1 for \(e \in E\left( {\bar T} \right)\) .
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-017-4699-4
      Issue No: Vol. 33, No. 6 (2017)
  • Semiparametric Bayesian inference for mean-covariance regression models
    • Authors: Han Jun Yu; Jun Shan Shen; Zhao Nan Li; Xiang Zhong Fang
      Pages: 748 - 760
      Abstract: In this paper, we propose a Bayesian semiparametric mean-covariance regression model with known covariance structures. A mixture model is used to describe the potential non-normal distribution of the regression errors. Moreover, an empirical likelihood adjusted mixture of Dirichlet process model is constructed to produce distributions with given mean and variance constraints. We illustrate through simulation studies that the proposed method provides better estimations in some non-normal cases. We also demonstrate the implementation of our method by analyzing the data set from a sleep deprivation study.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-016-6357-7
      Issue No: Vol. 33, No. 6 (2017)
  • A remark on the existence of entire large and bounded solutions to a ( k 1
           , k 2 )-Hessian system with gradient term
    • Authors: Dragos Patru Covei
      Pages: 761 - 774
      Abstract: In this paper, we study the existence of positive entire large and bounded radial positive solutions for the following nonlinear system $$\left\{ {\begin{array}{*{20}c} {S_{k_1 } \left( {\lambda \left( {D^2 u_1 } \right)} \right) + a_1 \left( {\left x \right } \right)\left {\nabla u_1 } \right ^{k_1 } = p_1 \left( {\left x \right } \right)f_1 \left( {u_2 } \right)} & {for x \in \mathbb{R}^N ,} \\ {S_{k_2 } \left( {\lambda \left( {D^2 u_2 } \right)} \right) + a_2 \left( {\left x \right } \right)\left {\nabla u_2 } \right ^{k_2 } = p_2 \left( {\left x \right } \right)f_2 \left( {u_1 } \right)} & {for x \in \mathbb{R}^N .} \\ \end{array} } \right.$$ Here \({S_{{k_i}}}\left( {\lambda \left( {{D^2}{u_i}} \right)} \right)\) is the k i -Hessian operator, a 1, p 1, f 1, a 2, p 2 and f 2 are continuous functions.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-017-6291-3
      Issue No: Vol. 33, No. 6 (2017)
  • A revised pre-order principle and set-valued Ekeland variational
           principles with generalized distances
    • Authors: Jing Hui Qiu
      Pages: 775 - 792
      Abstract: In my former paper “A pre-order principle and set-valued Ekeland variational principle” (see [J. Math. Anal. Appl., 419, 904–937 (2014)]), we established a general pre-order principle. From the pre-order principle, we deduced most of the known set-valued Ekeland variational principles (denoted by EVPs) in set containing forms and their improvements. But the pre-order principle could not imply Khanh and Quy’s EVP in [On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings, J. Glob. Optim., 49, 381–396 (2011)], where the perturbation contains a weak τ-function, a certain type of generalized distances. In this paper, we give a revised version of the pre-order principle. This revised version not only implies the original pre-order principle, but also can be applied to obtain the above Khanh and Quy’s EVP. In particular, we give several new set-valued EVPs, where the perturbations contain convex subsets of the ordering cone and various types of generalized distances.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-017-5062-5
      Issue No: Vol. 33, No. 6 (2017)
  • Singularity categories with respect to Ding projective modules
    • Authors: Wen Jing Chen; Zhong Kui Liu; Xiao Yan Yang
      Pages: 793 - 806
      Abstract: We introduce the singularity category with respect to Ding projective modules, D dpsg b (R), as the Verdier quotient of Ding derived category D DP b (R) by triangulated subcategory K b (DP), and give some triangle equivalences. Assume DP is precovering. We show that D DP b (R) ≈ K −,dpb (DP) and D dpsg b (R) ≈ D defect b (R). We prove that each R-module is of finite Ding projective dimension if and only if D dpsg b (R) = 0.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-017-6209-0
      Issue No: Vol. 33, No. 6 (2017)
  • Existence, uniqueness and approximation for L p solutions of reflected
           BSDEs with generators of one-sided Osgood type
    • Authors: Sheng Jun Fan
      Pages: 807 - 838
      Abstract: We prove several existence and uniqueness results for L p (p > 1) solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition in y and a uniform continuity condition or a linear growth condition in z. A necessary and sufficient condition with respect to the growth of barrier is also explored to ensure the existence of a solution. And, we show that the solutions may be approximated by the penalization method and by some sequences of solutions of reflected BSDEs. These results are obtained due to the development of those existing ideas and methods together with the application of new ideas and techniques, and they unify and improve some known works.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-016-6281-x
      Issue No: Vol. 33, No. 6 (2017)
  • Chung’s law of the iterated logarithm for subfractional Brownian
    • Authors: Na Na Luan
      Pages: 839 - 850
      Abstract: Let X H = {X H(t), t ∈ ℝ+} be a subfractional Brownian motion in ℝ d . We provide a sufficient condition for a self-similar Gaussian process to be strongly locally nondeterministic and show that X H has the property of strong local nondeterminism. Applying this property and a stochastic integral representation of X H, we establish Chung’s law of the iterated logarithm for X H.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-016-6090-2
      Issue No: Vol. 33, No. 6 (2017)
  • All good (bad) words consisting of 5 blocks
    • Authors: Jian Xin Wei
      Pages: 851 - 860
      Abstract: Generalized Fibonacci cube Q d (f), introduced by Ilić, Klavžar and Rho, is the graph obtained from the hypercube Q d by removing all vertices that contain f as factor. A word f is good if Q d (f) is an isometric subgraph of Q d for all d ≥ 1, and bad otherwise. A non-extendable sequence of contiguous equal digits in a word μ is called a block of μ. Ilić, Klavžar and Rho shown that all the words consisting of one block are good, and all the words consisting of three blocks are bad. So a natural problem is to study the words consisting of other odd number of blocks. In the present paper, a necessary condition for a word consisting of odd number of blocks being good is given, and all the good (bad) words consisting of 5 blocks is determined.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-017-6134-2
      Issue No: Vol. 33, No. 6 (2017)
  • The fourth power mean of the general 2-dimensional Kloostermann sums mod p
    • Authors: Wen Peng Zhang; Xiao Xue Li
      Pages: 861 - 867
      Abstract: The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of the general 2-dimensional Kloostermann sums mod p, and give an exact computational formula for it.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-016-6347-9
      Issue No: Vol. 33, No. 6 (2017)
  • A splitting primal-dual proximity algorithm for solving composite
           optimization problems
    • Authors: Yu Chao Tang; Chuan Xi Zhu; Meng Wen; Ji Gen Peng
      Pages: 868 - 886
      Abstract: Our work considers the optimization of the sum of a non-smooth convex function and a finite family of composite convex functions, each one of which is composed of a convex function and a bounded linear operator. This type of problem is associated with many interesting challenges encountered in the image restoration and image reconstruction fields. We developed a splitting primal-dual proximity algorithm to solve this problem. Furthermore, we propose a preconditioned method, of which the iterative parameters are obtained without the need to know some particular operator norm in advance. Theoretical convergence theorems are presented. We then apply the proposed methods to solve a total variation regularization model, in which the L2 data error function is added to the L1 data error function. The main advantageous feature of this model is its capability to combine different loss functions. The numerical results obtained for computed tomography (CT) image reconstruction demonstrated the ability of the proposed algorithm to reconstruct an image with few and sparse projection views while maintaining the image quality.
      PubDate: 2017-06-01
      DOI: 10.1007/s10114-016-5625-x
      Issue No: Vol. 33, No. 6 (2017)
  • Riemann–Hilbert-type boundary value problems on a half hexagon
    • Authors: Mohamed Akel; Fatimah Alabbad
      Abstract: In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann–Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are obtained. The boundary behavior of these operators is discussed. Finally, we investigate the Schwarz problem and the Riemann–Hilbert problem for inhomogeneous Cauchy–Riemann equations.
      PubDate: 2017-06-25
      DOI: 10.1007/s10114-016-6127-6
  • On the number of irreducible characters in a 3-block with a minimal
           nonabelian defect group
    • Authors: Sheng Yang; Sheng Gao; Chong Bin Xu
      Abstract: Let B be a 3-block of a finite group G with a defect group D. In this paper, we are mainly concerned with the number of characters in a particular block, so we shall use Isaacs’ approach to block structure. We consider the block B of a group G as a union of two sets, namely a set of irreducible ordinary characters of G having cardinality k(B) and a set of irreducible Brauer characters of G having cardinality l(B). We calculate k(B) and l(B) provided that D is normal in G and \(D \cong \left\langle {x,y,z {x^{{3^n}}} = {y^{{3^m}}} = {z^3} = \left[ {x,z} \right] = \left[ {y,z} \right] = 1,\left[ {x,y} \right] = z} \right\rangle \left( {n > m \geqslant 2} \right)\) .
      PubDate: 2017-06-15
      DOI: 10.1007/s10114-017-5792-4
  • New algebraic structures from Hermitian one-matrix model
    • Authors: Xiang Mao Ding; Yu Ping Li; Ling Xian Meng
      Abstract: Virasoro constraint is the operator algebra version of one-loop equation for a Hermitian one-matrix model, and it plays an important role in solving the model. We construct the realization of the Virasoro constraint from the Conformal Field Theory (CFT) method. From multi-loop equations of the one-matrix model, we get a more general constraint. It can be expressed in terms of the operator algebras, which is the Virasoro subalgebra with extra parameters. In this sense, we named as generalized Virasoro constraint. We enlarge this algebra with central extension, this is a new kind of algebra, and the usual Virasoro algebra is its subalgebra. And we give a bosonic realization of its subalgebra.
      PubDate: 2017-06-15
      DOI: 10.1007/s10114-017-6268-2
  • Rational curves and prolongations of G -structures
    • Authors: Jun-Muk Hwang
      Abstract: In a joint work with Mok in 1997, we proved that for an irreducible representation G ⊂ GL(V), if a holomorphic G-structure exists on a uniruled projective manifold, then the Lie algebra of G has nonzero prolongation. Using a different approach, we generalize this to an arbitrary connected algebraic subgroup G ⊂ GL(V) and a complex manifold containing an immersed rational curve. We also prove a partial converse: a construction of a holomorphic G-structure on a homogeneous complex manifold containing smooth rational curves, under the condition that G has no nonzero fixed vector in V and the prolongation of the Lie algebra of G is finite-dimensional and nonzero.
      PubDate: 2017-06-15
      DOI: 10.1007/s10114-017-7014-5
  • Stationary Gromov–Witten invariants of projective spaces
    • Authors: Paul Norbury
      Abstract: We represent stationary descendant Gromov–Witten invariants of projective space, up to explicit combinatorial factors, by polynomials. One application gives the asymptotic behaviour of the large degree behaviour of stationary descendant Gromov–Witten invariants in terms of intersection numbers over the moduli space of curves. We also show that primary Gromov–Witten invariants are “virtual” stationary descendants and hence the string and divisor equations can be understood purely in terms of stationary invariants.
      PubDate: 2017-06-15
      DOI: 10.1007/s10114-017-5314-4
  • Some developments in Nielsen fixed point theory
    • Authors: Bo Ju Jiang; Xue Zhi Zhao
      Abstract: We give a brief survey of some developments in Nielsen fixed point theory. After a look at early history and a digress to various generalizations, we confine ourselves to several topics on fixed points of self-maps on manifolds and polyhedra. Special attention is paid to connections with geometric group theory and dynamics, as well as some formal approaches.
      PubDate: 2017-06-07
      DOI: 10.1007/s10114-017-6503-x
  • Hörmander type theorem for Fourier multipliers with optimal smoothness on
           Hardy spaces of arbitrary number of parameters
    • Authors: Jiao Chen
      Abstract: The main purpose of this paper is to establish the Hörmander–Mihlin type theorem for Fourier multipliers with optimal smoothness on k-parameter Hardy spaces for k ≥ 3 using the multi-parameter Littlewood–Paley theory. For the sake of convenience and simplicity, we only consider the case k = 3, and the method works for all the cases k ≥ 3: $${T_m}f\left( {{x_1},{x_2},{x_3}} \right) = \frac{1}{{{{\left( {2\pi } \right)}^{{n_1} + {n_2} + {n_3}}}}}\int_{{\mathbb{R}^{{n_1}}} \times {\mathbb{R}^{{n_2}}} \times {\mathbb{R}^{{n_3}}}} {m\left( \xi \right)\widehat f} {e^{2\pi ix \cdot \xi }}d\xi $$ where \(x = \left( {{x_1},{x_2},{x_3}} \right) \in {\mathbb{R}^{{n_1}}} \times {\mathbb{R}^{{n_2}}} \times {\mathbb{R}^{{n_3}}}\) and \(\xi = \left( {{\xi _1},{\xi _2},{\xi _3}} \right) \in {\mathbb{R}^{{n_1}}} \times {\mathbb{R}^{{n_2}}} \times {\mathbb{R}^{{n_3}}}\) . One of our main results is the following: Assume that m(ξ) is a function on \({\mathbb{R}^{{n_1} + {n_2} + {n_3}}}\) satisfying \(\mathop {\sup }\limits_{j,k,l \in \mathbb{Z}} {\left\ {{m_{j,k,l}}} \right\ _{{W^{\left( {{s_1},{s_2},{s_3}} \right)}}}} < \infty \) with s i > n i (1/p−1/2) for 1 ≤ i ≤ 3. Then T m is bounded from \({H^p}\left( {{\mathbb{R}^{{n_1}}} \times {\mathbb{R}^{{n_2}}} \times {\mathbb{R}^{{n_3}}}} \right)\) to \({H^p}\left( {{\mathbb{R}^{{n_1}}} \times {\mathbb{R}^{{n_2}}} \times {\mathbb{R}^{{n_3}}}} \right)\) for all 0 < p ≤ 1 and \(\left\ {{T_m}} \right\ {}_{{H^P} \to {H^P}} \lesssim \mathop {\sup }\limits_{j,k,l \in \mathbb{Z}} {\left\ {{m_{j,k,l}}} \right\ _{{W^{\left( {{s_1},{s_{2,}}{s_3}} \right)}}}}\) . Moreover, the smoothness assumption on s i for 1 ≤ i ≤ 3 is optimal. Here we have used the notations m j,k,l (ξ) = m(2 j ξ 1, 2 k ξ 2, 2 l ξ 3)Ψ(ξ 1)Ψ(ξ 2)Ψ(ξ 3) and Ψ(ξ i ) is a suitable cut-off function on \({\mathbb{R}^{{n_i}}}\) for 1 ≤ i ≤ 3, and \({W^{\left( {{s_1},{s_2},{s_3}} \right)}}\) is a three-parameter Sobolev space on \({\mathbb{R}^{{n_1}}} \times {\mathbb{R}^{{n_2}}} \times {\mathbb{R}^{{n_3}}}\) . Because the Fefferman criterion breaks down in three parameters or more, we consider the L p boundedness of the Littlewood–Paley square function of T m f
      PubDate: 2017-06-07
      DOI: 10.1007/s10114-017-6526-3
  • Picard type theorems concerning certain small functions
    • Authors: Pai Yang; Lei Qiao
      Abstract: Let f(z) be a meromorphic function in the complex plane, whose zeros have multiplicity at least k + 1 (k ≥ 2). If sin z is a small function with respect to f(z), then f(k)(z) − P(z) sinz has infinitely many zeros in the complex plane, where P(z) is a nonzero polynomial of deg(P(z)) ≠ 1.
      PubDate: 2017-05-13
      DOI: 10.1007/s10114-017-6137-z
  • Distortion theorems for normalized biholomorphic quasi-convex mappings
    • Authors: Xiao Fei Zhang; Tai Shun Liu; Yong Hong Xie
      Abstract: In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball B n respectively.
      PubDate: 2017-05-13
      DOI: 10.1007/s10114-017-6220-5
  • Normality concerning the sequence of functions
    • Authors: Bing Mao Deng; De Gui Yang; Ming Liang Fang
      Abstract: Let {f n } be a sequence of functions meromorphic in a domain D, let {h n } be a sequence of holomorphic functions in D, such that \({h_n}\left( z \right)\mathop \Rightarrow \limits^\chi h\left( z \right)\) , where h(z) ≢ 0 is holomorphic in D, and let k be a positive integer. If for each n ∈ ℕ+, f n (z) ≠ 0 and f n (k) − h n (z) has at most k distinct zeros (ignoring multiplicity) in D, then {f n } is normal in D.
      PubDate: 2017-05-10
      DOI: 10.1007/s10114-017-6234-z
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