素数定理

抽象素数定理及广义黎曼假设的判别准则

The Abstract Prime Number Theorem and a Criterion for the Generalized Riemann Hypothesis

有限域上单变量代数函数域中的素数定理

Prime Number Theorem of an Algebraic Function Field of Dimension 1 over a Finite Field

算术数列中三素数定理的实效证明

An Effective proof of the Three primes Theorem in Arithmetical Progressions

树的最大特征值素数定理的一个推广

THE LARGEST EIGENVALUE ON TREES The Generalization of Prime Theorem

论余新河－哥德巴赫素数定理

On the Yu - Goldbach Prime Theorem

关于素数定理的构成图

On Supergraph for Prime Number Theorem

素数定理的拓展

The generalization of prime theorem

最后，在第三章里，首先简单介绍了素数定理，最后利用初等方法和解析方法证明了一些关于整数核的新结论。

In last chapter , firstly , we sim-ply introduce prime number theory . Finally , we gain some new results on the kernel of integers making use of fundamental and analytic method .

算术级数中的华罗庚五素数平方定理

Hua 's Five Primes Squares Theorem in Arithmetic Progressions

本文给出了华罗庚五素数平方定理的算术级数形式，证明了其中一个素数可以取在大模的算术级数中。

In this paper , we generalize Hua 's five primes squares theorem , and prove that one of the primes can be taken in arithmetic progressions with large moduli .

小区间上的五素数平方和定理

The Five Prime Squares Theorem in Short Intervals

小素数的陈氏定理

Chen 's Theorem on Small Primes