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标题: Goldbach’s Theorem [打印本页]
作者: 数学1+1 时间: 2020-4-25 09:46
标题: Goldbach’s Theorem
本帖最后由 数学1+1 于 2020-4-25 09:51 编辑 6 S2 V5 i& ^# U2 h/ B2 \- V
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作者: 数学1+1 时间: 2020-4-25 09:53
References
4 \( {9 ^* p W% M( O2 x- j[1] G. H. Hardy , E. M. Wright, An Introduction to the Theory of Numbers, People's Posts and Telecommunications Press, Beijing,2009,1-13.5 d* l2 a# B: m! x0 d; A% n
[2] Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
$ a4 I! v2 }& ?3 C7 P# A8 P7 j[3] Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217.2 H3 |/ ?. z. G6 l2 {3 Q
[4] J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.7 G9 d$ w5 y1 }5 Y% d; K7 ~- _
[5] Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010. K: {% H. w f: K" P4 v7 j7 A- b
346-358.
0 l+ o3 @+ Z7 X3 Y* A( `3 _2 J- m[6] Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.
4 `% r) z7 z& E- g[7] Pan Chengdong, pan Chengbiao，Analytical number theory basis，Harbin Institute of Technology Press，Harbin，2012,196-375.* W- j: O) ?* f8 e! R* @- _! d& ~
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作者: 数学1+1 时间: 2020-4-25 09:54
本帖最后由 数学1+1 于 2020-4-25 19:48 编辑
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) w5 I* O( j1 g; O6 c9 |0 A8 AAbstract We Definition Collection of sums of prime numbers is a set all integers in,
1 y% ?6 @ {# o) ~0 e }4 z' cthe form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According # U' Y2 p) k8 a0 m0 ?
to the prime number theorem with error termestimate the extreme value of M (x),
. \3 Q4 Q& ]1 q/ W% w0 b7 k( ouse the Newton-Leibniz formula to calculate the value difference of M (x), and - ~1 h+ ]. m- j( `8 r
derive Goldbach Theorem.
! F$ m. B7 Z; X; O0 LKey words even numbers, Goldbach, Collection of sums of prime numbers , constant7 f7 e+ ^8 ?( l
MR(2010) Subject Classification 11P32
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作者: 数学1+1 时间: 2020-4-25 10:08
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作者: 数学1+1 时间: 2020-4-26 08:50
本帖最后由 数学1+1 于 2020-4-26 08:59 编辑
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) p: g# R; G% ]6 o% B$ h' L 摘要:我们定义素数和的集合是所有整数的集合，p + p’（素数p，p’不小于3）的形式，记录为M（x），根据带有误差的素数定理估计M（x）的极值，使用Newton-Leibniz公式计算M（x）的值差，然后推导哥德巴赫定理。
4 o8 c" I) R+ X, ~) E+ o' | 关键词:偶数，哥德巴赫，素数和集合，常数
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作者: 数学1+1 时间: 2020-6-25 13:09
本帖最后由 数学1+1 于 2020-6-25 13:37 编辑 7 t8 D% l2 j( a/ s
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作者: 数学1+1 时间: 2020-11-9 10:57
I havesubmitted a new manuscript titled "Goldbach Theorem" forconsideration by Annals of Mathematics.
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