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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
1 v% P7 t5 K$ m6 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.
" F! ], }3 B/ v[2] Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
! [: L5 z# N3 I/ z7 h( T[3] Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217.
# k |- z) H! B[4] J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.8 ?/ S% Q+ o/ V$ E& |1 L1 g0 p
[5] Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010.
, H& \% P9 j* c. Y% N- s" @346-358.
% @ J! d& P. o9 W4 m% @ a) [[6] Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.$ `- ~! ]9 ?# m- W4 p: Y( y3 z8 Z
[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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9 N! Q2 H- q) NAbstract We Definition Collection of sums of prime numbers is a set all integers in,! w, p0 L- u, I5 I1 \3 C( }8 O
the form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According % d* t* }* B- g3 N% ?+ `; {8 l
to the prime number theorem with error termestimate the extreme value of M (x),5 m) b2 W: D! F7 v7 P) W1 X
use the Newton-Leibniz formula to calculate the value difference of M (x), and 0 \! ]9 T: ]9 R
derive Goldbach Theorem.% a# R. t5 O W
Key words even numbers, Goldbach, Collection of sums of prime numbers , constant9 f( Z3 O) L* N: o# o6 i& U( \
MR(2010) Subject Classification 11P32: C& Z' z# a/ u* [
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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。! O u8 E( [5 ?4 m) F: N
关键词:偶数，哥德巴赫，素数和集合，常数2 N# u% m+ a6 B' E" V& d- V
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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