有限域上椭圆曲线的分类及其性质

在这篇文章里，我们利用椭圆曲线的阶给出了椭圆曲线的一个分类，并推导出一些性质。     

一类椭圆曲线的正整数点

本文研究了一类椭圆曲线的正整数点个数的问题.利用二元四次Diophantine方程的新近结果,给出了这类椭圆曲线的正整数点个数的上界,推广了文献[4]中的结果     

TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS

We describe the 2-torsion part of the Brauer group of a hyperelliptic curve defined over an arbitrary field of characteristic different from 2 in terms of generators and relations.     

特征为3的域上的椭圆曲线点的快速计算

本文给出了特征为3的域上的椭圆曲线点的计算方法．提出了3P的计算思想；并将特征为2的域上的椭圆曲线点的一些特殊的快速计算方法移植到特征为3的域上．同时对这几种方法进行了比较；由此给出域F3^n上的椭圆曲线射影坐标的一种很好的表示法。     

B—样条逼近曲线的应用

引进了一种构造曲线的逼近技术，它放松了曲线应包含所有数据点这一严格要求。为了度量一曲线能逼近已给数据多边形的好坏，使用了移动控制点的概念。     

孪生素数椭圆曲线在p=3时的整数点(英文)

本文研究了孪生素数椭圆曲线的整数点问题.运用初等数论方法,获得了一组孪生椭圆曲线的所有整数点.     

一类半线性椭圆方程解的存在性

本文研究了一类具有临界增长的半线性椭圆型方程.采用最近A.Ambrosetti所提出的扰动方法研究这类问题,得到这类问题的解的存在性.与通常所用的临界点理论方法相比较,本文解的存在性在较弱条件下可得.     

关于椭圆型方程解的Liouville定理

在ｂ（ｘ）的较弱条件下，对下面的椭圆型方程，证整解的Ｌｉｏｕｖｉｌｌｅ 定理成立。     

THE DISTRIBUTION OF LATTICE POINTS IN ELLIPTIC ANNULI

We study the distribution of the number of lattice points lyingin thin elliptical annuli. It has been conjectured by Bleherand Lebowitz that if the width of the annuli tends to zero andtheir area tends to infinity, then the distribution of thisnumber, normalized to have zero mean and unit variance, is Gaussian.This has been proved by Hughes and Rudnick for circular annuliwhose width shrinks to zero sufficiently slowly. We prove thisconjecture for ellipses whose aspect ratio is transcendentaland strongly Diophantine, also assuming the width shrinks slowlyto zero.     

ON THE EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM ON THE EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM

i. Introduction and the Main TheoremIn this paper, we consider the elliptic boundary value problemwhere fi C RN is a bounded domain with smooth boundary off, f: R - R satisfieslocally Lipschitz condition and f(0) 2 0. By a solution u of (1.l) we mean a c…     

THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION

A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.     

椭圆曲线公钥体制的一些探讨

本文讨论了椭圆曲线公钥体制中的一些问题,并举出了几个有意义的例子。     

半线性椭圆方程正解存在性

本文讨论了临界指数情形半线性椭圆方程-Δu+α(x)u=b(x)u~p+g(x,u)在R~n中的正解存在性。     

EXTENDABILITY OF SOLUTIONS FOR THE LINEAR SYSTEM OF ELLIPTIC TYPE EQUATIONS

The solutions of linear system of elliptic type equations with first order isdiscussed by using the method of several complex analysis and, a series of newextended results of the solutions for the system of elliptic type are obtained.