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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
+ A/ B! W$ R# t3 E0 Q[1] G. H. Hardy , E. M. Wright, An Introduction to the Theory of Numbers, People's Posts and Telecommunications Press, Beijing,2009,1-13.2 i+ a" h) l8 Q% B: P! T
[2] Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
8 p1 c3 f; \. B, z! _3 \[3] Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217. R/ r9 b% c5 H3 r# k/ c
[4] J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.' v% G2 `# s, @ S" X
[5] Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010.
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[6] Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.
' n* h* H$ D: @3 B3 c% 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 1 f: Q! ]2 ]: U; G6 R
' A5 {" U+ [! yAbstract We Definition Collection of sums of prime numbers is a set all integers in,
) \1 x) d1 d) ?$ L {0 F Hthe form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According
: g1 Z b8 \( Q7 w m7 w3 X' ato the prime number theorem with error termestimate the extreme value of M (x),
8 p2 \7 @+ ?$ B1 n$ k1 a: ause the Newton-Leibniz formula to calculate the value difference of M (x), and
2 N0 i5 F: _8 ]derive Goldbach Theorem.
9 E% u! {/ a `# |+ M* ^" s1 d3 ^Key words even numbers, Goldbach, Collection of sums of prime numbers , constant
" T9 `, n- p- f% Q* X7 j7 @. ?# k& JMR(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 2 C7 G/ T1 T7 M5 Y9 {, p, |
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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。
5 B: D# `" ^) c4 k0 H3 d# X3 z 关键词:偶数，哥德巴赫，素数和集合，常数2 l- N8 r, I$ B- e U8 q
MR（2010）主题分类11P32
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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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