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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
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作者: 数学1+1 时间: 2020-4-25 09:53
References$ q8 l6 p, X( s( e% c' e8 L
[1] G. H. Hardy , E. M. Wright, An Introduction to the Theory of Numbers, People's Posts and Telecommunications Press, Beijing,2009,1-13.
u) M2 q7 F1 P; c. w3 Z[2] Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
+ P3 `0 M+ { Z! ~' |[3] Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217.. `8 P# i) l; I7 [" \. ^
[4] J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.
7 h/ `0 g% t6 B# T: }) S[5] Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010.. p+ l4 ]7 B1 h3 S2 {2 F
346-358.1 C" N; L. G( O2 b* ^& t; t
[6] Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.
6 F* @! J% o7 d: U& m/ Z# U[7] Pan Chengdong, pan Chengbiao，Analytical number theory basis，Harbin Institute of Technology Press，Harbin，2012,196-375.# @! z2 C4 Y d( T1 [) ]9 X
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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 . T% C5 V4 H+ _" @, k" W f
$ |4 q& U3 c' ]* u5 bAbstract We Definition Collection of sums of prime numbers is a set all integers in,
3 f5 d+ J1 ]. y+ r4 V2 X! [the form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According 8 b- q5 B% T8 N" ]) N
to the prime number theorem with error termestimate the extreme value of M (x),6 y* o" u" v" G" T5 y" u, b7 f
use the Newton-Leibniz formula to calculate the value difference of M (x), and
4 p/ ?; ?& ?- ~# Z4 oderive Goldbach Theorem." R6 P8 ?' I! a6 A' n" x
Key words even numbers, Goldbach, Collection of sums of prime numbers , constant( U$ R3 e/ N; C: q( D1 ?
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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2 K7 h4 f! J6 h$ c, q/ Z- M 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。1 L6 Q: f) w: _* O( }- G2 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
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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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