关系、多射、等价分类方法(I)

通过关于数论中的同余理论、抽象代数中的同态理论和高等几何中的变换群理论等有关问题讨论，归纳、总结出关系、多射、等价分类方法，即RPE方法，这种方法是继关系、映射、反演方法（RMI方法）后，又一种通过映射解决问题的数学方法；同时也是一种在数学教学与科学研究中，相当有用且为数学所独有的数学方法。

On Dickson Polynomials and Difference Sets

In 1998, Maschietti constructed several cyclic difference sets from monomial hyperovals. R. Evans, H.D.L. Holloman, C. Krattnthaler and Qing Xiang gave an algebraic proof of the two autocorrelation property of the related binary sequence. In this paper, we show that hyperovals are very closely related to two-to-one maps, and then we proceed to generalize Maschietti＇s result.

ON FACTORIZATION THEOREMS OF PLURIHARMONIC MAPS INTO THE UNITARY GROUP

The authors give some constructive factorization theorems for pluriharmonic maps from a Kaehler manifold into the unitary group U(N) and obtain some optimal upper bounds of minimal uniton numbers.

Almost Fixed Point,Fixed Point and Quasi-Variational Inequality on Generalized Convex Spaces

The definitions of S-KKM property and Γ-invariable property for multi-valued map- ping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally G-convex uniform space are obtained, and a quasi-variational inequality theorem for acyclic map on Hausdorff Φ-space is proved. Our results improve and generalize the corresponding results in recent literatures.

Uniqueness Theorems for Meromorphic Mappings in Several Complex Variables into P^N(C) with Two Families of Moving Targets

The authors prove some uniqueness theorems for meromorphic mappings in several complex variables into the complex projective space PN(C)with two families of moving targets,and the results obtained improve some earlier work.