单准周期的Riemann边值问题

本文研究了光滑封闭曲线情况下的加法与乘法单准周期Riemann边值问题,运用保角变换的方法,获得了单准周期函数的一些性质,并且对解在无穷远处作适当要求下给出了单准周期边值问题的解法.     

On the order of a group of even order

We present an upper bound for |G| of a group G of even order possessing a unique conjugacy class of involutions.     

基于范德瓦尔斯气体的迈耶公式修正

在近似真实情况下,对迈耶公式作了理论修正,并与实验值进行了比较.     

常型Sturm-Liouville问题的特征值

This article discuss on the existence condition and of Sturm-Liouville feature value by analyzing its existence, asymptotic distribution and locus formula in special instance.     

The Sylvester-Ramanujan System of Equations and The Complex Power Moment Problem

A classical system of algebraic equations is treated as a finite power moment problem in C and investigated on this base. Being originated from the algebraic theory of binary forms, this system is closely related to an extraordinary number of different subjects in the classical and modern analysis. A survey of these relations is presented.     

COMPARISION THEOREMS OF THE TOPOLOGICAL PROPERTIES FOR A NEW MODEL OF ISOMERS

ＣＯＭＰＡＲＩＳＩＯＮＴＨＥＯＲＥＭＳＯＦＴＨＥＴＯＰＯＬＯＧＩＣＡＬＰＲＯＰＥＲＴＩＥＳＦＯＲＡＮＥＷＭＯＤＥＬＯＦＩＳＯＭＥＲＳＡｙｇｕｌＭａｍｕｔ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉｎｊｉａｎｇＵｎｉｖｅｒｓｉｔｙ，Ｕｒｕｍｑ...     

On the Mean Square of the Error Terms Corresponding to Exponential Sums Involving the Ideal Counting Function

In this paper we consider the asymptotic behaviour of the error term Q(x;h/q), which is defined by (1.2). In particular, we derive a certain lower bound estimate of this function when h, k and q are fixed integers, and study the non-trivial upper bound estimates of the mean value of Q(x;h/q).     

重核自发裂变寿命的新公式

利用Swiatecki寿命公式及其推广形式系统计算了重核的自发裂变寿命，并提出一个新的四参数自发裂变寿命公式，公式计算结果和实验数据能够很好地符合. 对于Z≥90的重核存在一条N=Z+52的长寿命线. 新公式可以预言长寿命线附近的重核自发裂变寿命.     

重端点的 Gauss一Lag ue re求积公式

本文对[}o,})上的权函数WP(z) = s"e-}(}>一1)讨论了在端点z=。重数>1情形下的Gauss型求积公式.特别地，对Laguerre权函数W(z)~e-}.给出了重数为2的卿uss-Laguerre显式公式.     

There Are Not Too Many Magic Configurations

A finite planar point set P is called a magic configuration if there is an assignment of positive weights to the points of P such that, for every line l determined by P, the sum of the weights of all points of P on l equals 1. We prove a conjecture of Murty from 1971 and show that if a set of n points P is a magic configuration, then P is in general position, or P contains n−1 collinear points, or P is a special configuration of 7 points. The research by Rom Pinchasi was supported by a Grant from the G.I.F., the German-Israeli Foundation for Scientific Research and Development.