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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
3 i+ F4 r4 d! F2 L8 Q$ O[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 G- S7 O2 u9 f* Y- Y5 Q[2] Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-1126 ? P f4 K; z
[3] Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217.- v0 h0 p9 v, k1 v4 }7 g9 z. S2 D
[4] J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.
8 v; Q* O+ L% ^4 m j5 F3 A+ W[5] Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010.- m4 r1 `0 `0 l. V- B
346-358.
+ ]. }3 |- f* T& y: R$ Y& u[6] Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.
5 i" c0 H9 X2 K T[7] Pan Chengdong, pan Chengbiao，Analytical number theory basis，Harbin Institute of Technology Press，Harbin，2012,196-375.
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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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6 g6 {; k J2 w* r! }& y. G0 L; V2 S: bAbstract We Definition Collection of sums of prime numbers is a set all integers in,! W% ]+ q) I; D% ~# M" n% M
the form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According . x' }4 }" |3 l3 N; J* A
to the prime number theorem with error termestimate the extreme value of M (x),
9 [7 o) o+ I$ G" luse the Newton-Leibniz formula to calculate the value difference of M (x), and 2 k0 d! ?/ H+ G
derive Goldbach Theorem.
1 l$ P# b5 @ l! p8 WKey words even numbers, Goldbach, Collection of sums of prime numbers , constant& E- R5 Y# }6 {: q: p
MR(2010) Subject Classification 11P32. j0 D& g% `4 A- k/ K' B7 m/ p
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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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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。
. S& \2 V. q# ?+ `0 D 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 ' b0 Z8 F1 X" @
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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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