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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
, `" H: p2 ~2 O& J6 _. N4 w[1] G. H. Hardy , E. M. Wright, An Introduction to the Theory of Numbers, People's Posts and Telecommunications Press, Beijing,2009,1-13.; e, C9 |$ w3 |+ x* R: |4 q+ k
[2] Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
# P) p2 x' H8 X% ^/ ~9 ~) m: `2 p[3] Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217.
" J- C' L5 P! Z" h( W. D1 e[4] J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.
8 j/ M* m( B2 l7 x0 k' v[5] Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010.
9 y& w- I( |3 l+ c5 q8 h$ k4 e) H346-358. o7 o4 T7 r" j q2 J' F! o
[6] Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.
" O+ @5 e ?, N[7] Pan Chengdong, pan Chengbiao，Analytical number theory basis，Harbin Institute of Technology Press，Harbin，2012,196-375.6 o1 k: H1 x. n, P3 B4 v& L
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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 ' z1 Z4 h) R z( f6 X) K' \2 c
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Abstract We Definition Collection of sums of prime numbers is a set all integers in,
5 E1 T, l7 Y; O- Gthe form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According # U0 Z5 \8 V1 D. W5 \4 m) D
to the prime number theorem with error termestimate the extreme value of M (x),) F" m, x( P2 w+ i" I( t; |
use the Newton-Leibniz formula to calculate the value difference of M (x), and
: S( l' p$ x: z/ L7 E" iderive Goldbach Theorem.
1 I) e/ s8 K, k _. I5 D& A5 T" `Key words even numbers, Goldbach, Collection of sums of prime numbers , constant; F" z1 i5 o( i8 g
MR(2010) Subject Classification 11P322 M- G) b% `8 l8 X
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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 - O8 P9 Z1 {' b' l& h
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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。1 ?$ ]- ^1 c6 Q- |/ Q
关键词:偶数，哥德巴赫，素数和集合，常数 n6 l: p5 r: N {- S0 H) P
MR（2010）主题分类11P321 Z; I* c* e. w$ L i
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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 0 n) |7 u: h) \5 _
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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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