User talk:Ke-an feng

Here, it has two parts: 1) an abstracts of my paper. 2) some review about the paper.

Matrix Expression and Properties of non-prime odd number—Goldbach Conjecture is Right Ke-an Feng Institute of Physics, Chinese Academy of Science, Beijing 100080 Abstracts: A triangle matrix of non prime odd number (NPON) is presented. From the matrix, 4 npon sets with 8 matrices relate to the prime are obtained. The properties of the 8 matrices are discussed. A concept of prime hole (PH) is introduced. The right of Goldbach conjecture is proved in terms of the matrix properties of the npon.

1 Introduction A) As we know, odd number (oddn) and prime are two different concepts, and the prime is a part of odd number except 2. But until now, the expression and the properties of non-prime odd number (npon) are not researched in detail. Here, a npon triangle matrix is presented. From this, the npon should be classified into 6 sets. Among them, we obtained the matrix expression of 4 npon sets concerning the prime: a) Up odd npon 7+12m1,2; b) Down odd npon 11+12m3,4; c) Up even npon 1+12m5,6; d) Down even npon 5+12m7,8. Obviously, each npon set is composed by two matrices m, which to merge into a double layer matrix R. B) For eachone of 8 matrices, the matrix elements concerning npon are all possess of the translation, symmetry, multiple. The three consequences of matrix hole in matrix are proved in term of the proof by contradiction. Definition : For each npon set, the common hole of the 2 matrices is called prime hole (ph). That is, the prime hole is the hole of the double layer matrix R. C) We proved that as a double layer matrix enlarge, the proportion of ph to elements decreases, but the ph (concerning the prime) is never to zero. That is, the number of the prime hole is infinite. D) In each double layer matrix, the properties of the prime hole and relationship between two prime holes are presented. E) The even number should be classified into 6 types according to the 4 npon sets. In order to prove Goldbach conjecture, the two kinds of expression have to be proved: a) one element + one element equal to sum of two ph. b) one element + one ph equal to sum of two ph. As two examples, the even 10+12m=5+12m7,8+5+12m7,8 and 4+12m= 11+12m3,4+5+12m7,8 are discussed. The right of the Goldbach conjecture in 1742 — every even number is partitioned into sum of two primes — is proved. It is a new way to prove the right of the Goldbach conjecture from the matrix properties of the non prime odd number.

Some Letters about my manuscript. Journal of Number Theory Submission: Final Decision   [举报垃圾邮件]

发件人： 	goss@math.ohio-state.edu 添加到通讯录拒收

收件人：	fengkean@126.com

日　期：	2008-01-11 22:47:33 Dear Feng,

This is in regard to the manuscript Matrix Expression and Properties of non-prime odd number---Goldbach Conjecture is Right which you submitted for publication in Journal of Number Theory. The Editors have decided that your manuscript is not suitable for publication in the journal. Therefore, we regret to inform you that we cannot consider your paper for publication.

We would like to encourage you to submit your paper to another more suitable journal. Thank you for your interest in Journal of Number Theory.

Sincerely, Journal of Number Theory Central Editorial Office --

Paper on Riemann Hypothesis - Matrix Expression and Properties of non-prime odd number-Goldbach Conjecture is Right 发件人： IJNT Editor; (由 em.ijnt.152.2088ec.1f311253@editorialmanager.com 代发) 时　间： 2011年1月21日 15:13 (星期五) 收件人： Ke-An Feng; Ke-An Feng; Dear Professor Ke-An Feng

Paper: Matrix Expression and Properties of non-prime odd number--Goldbach Conjecture is Right

Thank you very much for submitting your paper on the Goldbach Conjecture to the International Journal of Number Theory. As you know, this is one of the most important problems in all of mathematics. It is the policy of the IJNT to neither accept nor even consider submissions claiming proofs of such important theorems.

However, we encourage you to submit your paper to one of the three world's leading journals in mathematics. If your proof is correct, publication in such a journal will give your proof the recognition and exposure that it deserves. Moreover, since these journals have published proofs of many very important theorems, they have in place a system of multiple referees who will check all details of your proof.

Sincerely, Coordinating Assistant, IJNT for the Managing Editors --- SCIENCE CHINA Rejected Notice(初筛退稿)

发件人： sender@scichina.org; 时　间： 2011年2月6日 19:43 (星期日) 收件人： fengkean@126.com; fengkean@126.com; This message is sent out by the system. No reply is required. If you have any question, please contact the managing editor(email:zhangry@scichina.org). Your manuscript entitled "Matrix Expression and Properties of non-prime odd number-Goldbach Conjecture is Right" submitted to SCIENCE CHINA Mathematics Register Number：012011-87 Title：Matrix Expression and Properties of non-prime odd number-Goldbach Conjecture is Right Author(s)：作者列表（* for corresponding author） has been received. We have a prescreening process that examines the received manuscripts to determine whether they fit into the scope and meet the standard requirements of the journal. In this process, it has been decided that your manuscript referenced above should be returned to you without being sent for review. This decision has no implication on the scientific quality and merits of your research. The prescreening process is only a measure that is used to reduce the number of manuscripts received and sent for review and to avoid possible delay with the review and publication of certain manuscripts. Nevertheless, I would like to take this opportunity to once again thank you for submitting your work to SCIENCE CHINA Mathematics. Yours sincerely, SCIENCE CHINA Mathematics 2011-02-06 Chinese Version: 冯克安先生/女士： 您好！ 谢谢您的来稿. 经初步审查，来稿反映了所在研究领域的新成果，有一定的科学意义. 遗憾的是，我刊版面有限，我们只能选择刊登一些对本领域和相关领域的研究有较大促进作用的稿件. 因此，您的来稿不适合于我刊，建议改投有关专业性期刊. 感谢您对中国科学 数学的支持和信任. 欢迎有新的研究成果时再选择中国科学 数学！ 中国科学 数学编辑部 2011-02-06