At the same time,some properties of number theory function and calculation formula of were discussed.
给出了3N+1猜想中周期为l的周期数的概念、数论函数potpn的定义以及二进制中的横和数的定义:A(xi,2),高斯函数[x];同时给出了数论函数potpn的性质和potpm!的计算公式,利用数论函数potpn提出了3N+1猜想中周期数存在的一个必要条件,为进一步研究3N+1猜想中周期问题提供参考。
Gaussian function is one of the important number theory function.
高斯函数是一个非常重要的数论函数,其应用非常广泛。
A note for some inequalities for arithmetical function;
关于数论函数若干不等式的一个注记
An arithmetical function and its mean value;
一个数论函数及其他的均值
Two new arithmetical functions and their asymptotic formulae;
关于两个新的数论函数及其渐近公式
On the mean value of a number theoretic function;
一个数论函数的均值问题
A number theoretic function and its 8-th power mean value formula;
一个数论函数的八次均值计算
A number theoretic function and its seventh power mean value formula;
一个数论函数七次均值的计算
On the mean value of a new arithmetic function and its convolution;
一个新的数论函数及其他对合式的均值
On the arithmetic functional equation P(m)=P(n);
关于数论函数方程P(m)=P(n)
The Yu math problem and Goldbach conjecture are proved using the arithmetic function(ω).
利用数论函数 （ω），证明了余新河数学题和哥德巴赫猜想。
The ringed space is a recent development of the geometric function theory.
赋环空间是几何函数论的最新发展。
The Research on Several Questions of E.Borel's Function Theory;
对E.Borel在函数论的几个工作研究
Revelation of function teaching about history of function concept;
论函数概念发展史对函数教学的启示
On the Deficient Functions, the Singular Directions and Normal Family Theory for Meromorphic Functions;
亚纯函数的亏函数、奇异方向和正规族理论
An Essence Theoretic Expression of Production Function--Elasticity Production Function;
生产函数的一种基本理论表达式——弹性生产函数
The Mean Value of Arithmetic Function on Special Sequencs
关于一些特殊数列上数论函数的均值
Some Mean Values on Arithmetical Functions and Equations Involving Arithmetical Functions;
一些关于数论函数的均值及包含数论函数的特殊方程
Mean Value Properties on Some Arithmetical Functions and Some Equations Involving Arithmetical Functions;
一些数论函数的均值性质及包含数论函数的方程求解
g-Functions, Weak Base g-Functions and Applications of Cardinal Functions;
g-函数，弱基g-函数及基数函数的应用
Mean Value and Convergence on Some Arithmetical Functions;
一些数论函数的敛散性及其均值估计
Analysis of the Function Conception Learning from the Dual Character of the Mathematics Conception;
从数学概念的二重性论函数概念学习
An Equation Concerning the Arithmetic Functions△(K) and ψ(K);
关于数论函数δ(k)和ψ(k)的一个方程
Symmetric partial derivative of a binary function and interrelated theory;
二元函数的对称偏导数及其相关理论
On an Open Problem of the Arithmatic Function δ(n);
关于数论函数δ(n)的一个公开问题
The Mean Value of Several Kinds of Smarnadache Function
几个Smarandache数论函数的均值性质
Mean Value of the Square Root Sequence and Arithmetical Function U(n)
平方根序列和数论函数U（n）的均值
Application of Matlab language in solving function value of elementary number theory
Matlab语言在求初等数论函数值的应用
The Mean Value of τ_(sp)(n) Function
一个数论函数τ_(sp)(n)的均值