关于偶数Goldbach数的均值性质

On the Mean Value Properties of Even Goldbach Conjecture

设D(n)表示方程n=p1+p2的解数,其中p1,p2为奇素数,若D(n)>0,则我们称n为偶数G o ldbach数.主要目的是利用初等和解析方法从两个不同的角度来研究偶数G o ldbach数的均值性质,并给出了两个相同的渐近公式,从而为进一步证明偶数G o ldbach猜想的正确性提供了有力的证据.

Let D（n） denotes the number of the solutions of the equation n= P1 ＋ P2, where P1 and P2 are odd primes. If D（n） 〉 0, then we call such a number n as even Goldbach number. Using the elementary and analytic methods, we study the mean value properties of the even Goldbach number from two different directions, and obtain two interesting asymptotic formulae for them, therefore provide powerful evidence to prove the correctness of the even Goldbach conjecture.