Chapter 177: Wang Hao: I just proved the conjecture in two ways
Seymour passed on the sorted content to Tang Kai.
Tang Kai still has some basic level, after he received the content, he took a closer look and found that the content involved functions, number theory, analysis and other content.
Although most of it was incomprehensible, he still knew the argument for the problem of logarithmic theory, and Seymourson said that it was the way to prove Goldbach's conjecture, and he didn't think it was much of a problem.
"Seymour Sen shouldn't cheat me, he just wants to make money."
"This article is probably scrapped, or his or a colleague's, in short, it doesn't make much sense, so he passed it on to me."
"If you can make a little money from scrap manuscripts, it's really good......"
This is Tang Kai's understanding.
Tang Kai is still very cautious, and when it comes to academic things, it is difficult to say whether there is a problem.
The last time he just solved an equation, it was a problem from Wang Hao, and he asked Simonson to help solve it, so there was no problem at all, just treat it as if he solved it himself.
Now it's different.
It's a very complicated argument, and I can't even read it.
Tang Kai simply wrote a copy by himself, and then found a professional website to do a plagiarism check, and even logged on to a foreign paper website to check the plagiarism.
As a result, nothing was found.
"Looks like there's no problem!" Tang Kai was immediately relieved.
There is no problem with the content check of this article, which means that no relevant papers have been published, and it should be a waste manuscript of the research.
"That's how it should be. If you study it in this direction, it turns out that you can't study it, and it's a pity to abandon it. β
"So it was sold to me!"
This time he was sure.
After it was confirmed, Tang Kai immediately posted the content on the Internet, and marked a sentence, "It's a pity not to send the waste manuscript that I usually research, and it doesn't make much sense to send it, so if you are interested, you can take a look!" β
After he finished sending the message, he suddenly looked forward to it.
This is the method of setting up a person.
There is relevant research under the account, so that everyone can better understand his academic character, and naturally they will recognize his professionalism and be more interested in other content he postes.
Even if not many people actually look at it, as long as people are established, what they say will be more authoritative.
That's all that matters.
There are still some mathematicians among Tang Kai's fans, and the most senior even has a Ph.D. in mathematics.
When the news was released, many fans' comments were incomprehensible and uninterested.
But two people who knew math looked at it seriously and made surprised remarks, "This blogger really has something!" β
"This is supposed to prove Goldbach's conjecture, right? This is the first time I've seen this line of thinking. β
"It's awesome!"
"Although it didn't complete the proof, it also provided a good idea!"
Tang Kai looked at a few professional speeches and suddenly smiled.
That's what he wants, to set people up and let everyone know that he's a math professional.
"It seems that the two thousand dollars are worth it, and then look at the effect, if the effect is better, I will transfer another thousand to Seymourson!"
β¦β¦
Tang Kai's goal is just to set up a personality and make him more professional in the hearts of fans.
There are others who have also been moved.
The research of mathematics is so difficult, especially the research of theory, that it is difficult to publish a high-level SCI.
It is very difficult for some mathematics professors to achieve results in the study of mathematical theories.
Some scholars have learned about Wang Hao's thoughts on the proof of Goldbach's conjecture and some very detailed contents, and they have also started to think about other things.
"Continue to research along this line, and as long as there is a little result, it can be published."
"It is not necessary to prove the Goldbach conjecture, but to do research along this line of thought, and to provide a Goldbach conjecture, which seems to be a possible way to prove, is the result!"
"If we can get our results published in better mathematics journals, we may be able to apply for a project ......"
That's what some mathematicians think.
Of course, research is not easy, and it is impossible for them to submit the original content to the paper, but to continue to study on this basis, and only then can they have some results.
Of course, it's not easy to make some small progress.
But in any case, it is much easier to continue research along a good line of thought than to do groundbreaking research yourself.
Perhaps, in a month, two months, there will be progress?
In terms of mathematical research, the speed is already super fast!
At the same time.
Wang Hao was stuffy in the director's office, seriously writing a certificate that he had not come out for a week, and had been working in the office.
In normal times, students take turns bringing him meals.
Wang Hao brought six graduate students, and each graduate student helped deliver a meal, which could last for two days.
Zhang Zhiqiang, Zheng Yaojun and others will also help when they have time.
This week, Wang Hao's courses are all brought by someone, and he feels that his train of thought cannot be broken, and he must complete the research in one go, otherwise a delay may be half a day or a day.
After more than a week of research, I finally succeeded in completing my dissertation.
"That's it!"
Wang Hao looked at the more than 30 pages of papers that had been entered into the computer, exhaled a long breath, and couldn't help but smile on his face.
Then his expression became a little weird again.
[Task 2]
[Title of Research Project: Proof of Goldbach's Conjecture (Difficulty: S).] γ
[Inspiration: 85.] γ
"85 again?"
That's where the weirdness comes from, and the inspiration is growing as we continue to research.
What happens if it rises to 100 points again?
The knowledge and inspiration in his head had already been answered, and he initially thought of two directions for proving Goldbach's conjecture, and later one of them had a corresponding inspiration.
In the process of constantly writing essays, another approach also emerged as inspiration.
He knew the main direction of the proof, and then everything fell into place, and the inspiration value continued to grow.
In other words, he could prove the Goldbach conjecture in another way.
But what about the proof? Goldbach's conjecture is just a problem, one method will prove it, and the second method should be meaningless. β
"As long as one method is proven, the conjecture becomes a theorem."
Wang Hao thought about it and pushed open the door of the office.
Zhang Zhiqiang was standing in the corridor when he found the door of the director's office open, and he looked over in surprise.
Wang Hao walked out of it, with a puzzled look on his face, as if he was a little puzzled about something.
Zhang Zhiqiang knew at a glance that Wang Hao must have encountered a problem in his research, and he immediately asked, "Wang Hao, did you encounter any problems?" β
"Hmm."
Wang Hao thought and nodded slightly.
Zhang Zhiqiang patted him on the shoulder and comforted, "It's normal to encounter problems in research like this, just don't care about it, maybe you can make a breakthrough by thinking about it occasionally." You're such a genius, don't worry. β
Wang Hao continued to frown, and he suddenly asked Zhang Zhiqiang, "If I prove Goldbach's conjecture by one method, and then prove it by a second method, is there any point?" β
ββ¦β¦β
Zhang Zhiqiang was a little dazed when he heard this, but he still thought about it for a while, "Maybe...... The second is also research, but it doesn't have much impact? Can you submit a short essay as another solution to a math problem? β
"Can't you submit to the top magazine?" Wang Hao asked.
"No, I can't." Zhang Zhiqiang continued, "Unless it's a joint submission. If one of the top journals publishes a proof of conjecture, the next proof will not be accepted by the top journal. β
Wang Hao thought about it and continued to ask, "If you submit articles together, can the two top journals get subsidies from the school?" β
"This ......"
Zhang Zhiqiang had never thought of such an esoteric question, he hesitated and said, "Maybe, you have to ask Zhu Jianrong about this." β
β¦β¦
Wang Hao and Zhang Zhiqiang said a few words, then went out to the school for a walk, and then went to the science and technology department of the teaching building.
In the office of the Science and Technology Department, he found Zhu Jianrong.
"Professor Wang? Fast forward! β
Zhu Jianrong was so enthusiastic about Wang Hao that he took the initiative to bring a stool, let Wang Hao sit for a while, and asked, "Why do you have time to come here?" Is there something going on? β
"If you have nothing to do, you will go to the Three Treasures Palace, I am here to consult."
"You say."
"That's right." Wang Hao asked directly, "If I publish two different papers in the top journal at the same time, but they are aimed at the same problem, how many subsidies will the school give?" β
"This ......"
Zhu Jianrong was also stopped by this question, and he hesitated and asked, "What ...... research you are talking about?" β
Goldbach's conjecture."
"Uh~~"
Zhu Jianrong's expression froze directly.
Next to him, Li Ming's mouth was half open, and he didn't close it for a long time, he felt that he had no way to speak.
The study of Goldbach's conjecture was published in two top journals?
What does this mean?
Zhu Jianrong swallowed his saliva and said, "In this way, this question, I think, if you prove Goldbach's conjecture, even if you want three paper subsidies, the school will definitely give it, and it will definitely give a bonus, so don't worry about this problem." β
Wang Hao shook his head and said, "A subsidy is a subsidy, and a bonus is a bonus, these are two things." Anyway, you mean it's okay, right? β
"Uh, yes."
Zhu Jianrong nodded directly.
He felt that compared to proving Goldbach's conjecture, what kind of school subsidy was a trivial matter, and there was no need to consider it at all.
As for publishing two related papers, it feels like it's not realistic than a dream, and it's okay to come down.
Wang Hao got the result he wanted, and immediately felt that it made sense to write another proof.
He walked around the school, ran around the playground, moved a little, went to lunch in about time, and then went back to the Mason Mason Lab office.
The other side.
Zhu Jianrong thought about the question Wang Hao asked him, and the more he thought about it, the more strange he felt, so he simply went to the experimental building of the College of Science and found Luan Haiping in the dean's office.
He told Luan Haiping about the matter.
Luan Haiping called Zhou Qingyuan and several other professors to conduct an analysis together.
"This matter, I feel that it is not good to ask Wang Hao directly, his mental state is ......" Zhu Zhen said and shook his head, "It may be that the research is too fascinating, and I feel that I have been thinking about this thing." β
"He's been in the office for a week, and he's listening to his students say he's doing research."
"That office is very good, there is no problem, there are so many people in the laboratory, there will be no problems."
"I'm not worried about this, I just want to know, what does he mean by asking?" Zhu Jianrong pulled the topic back.
Zhou Qingyuan said, "Why don't I call and ask?" β
"Don't, don't!" Zhu Jianrong immediately stopped, "If you call and ask, let Wang Hao know that I chew my tongue?" What else will I say then? β
ββ¦β¦ That's right, too. β
Now that Zhu Jianrong came to tell the matter, it was also out of concern for Wang Hao, and it was not good for Wang Hao to be dissatisfied with him.
Several professors discussed it, but they couldn't think of a reason.
Later, he simply found Zhang Zhiqiang.
After Zhang Zhiqiang came over, he was asked about Wang Hao's research, and he immediately shook his head and said, "Wang Hao also asked me about this, but I am sure that he did not complete the research." β
"I saw that he was thinking, as if he was a little confused, and he probably encountered some difficulties."
He said in the affirmative.
The others also listened and nodded, they simply did not dare to imagine that there were two ways to prove the Goldbach conjecture?
That's a problem with that!
In the end, Luan Haiping analyzed the reason, "I know! β
"It must have been Wang Hao's research that ran into a problem, and he found that this method could not be proven, so he thought of other methods."
"Later, I thought about the original method, and I became curious about whether I could publish two proofs......
"So let's just ask, let's not read too much."
Everyone else listened and nodded.
Makes sense!
Maybe they overinterpreted, Wang Hao was just interested in asking, what's strange?
β¦β¦
After Zhang Zhiqiang left the laboratory building of the School of Science, he went back to the office of the comprehensive building, and he couldn't help but talk about it with others.
Yan Jing's judgment was the same as Luan Haiping's, "Maybe it's just curiosity, right?" He is devoted to research, and if he can't think of some questions, he may just get into the horns, and when he thinks of a question, he wants to know the answer. β
Luo Dayong said, "Why don't you think about it, what if Wang Hao really thinks of two methods?" β
He laughed as he spoke.
He only said a possibility, but even he had a hard time believing it.
Zhu Ping said, "I don't care about this. β
"Why?" Everyone else looked at it curiously.
Zhu Ping said as a matter of course, "What do you think, what is this?" Wang Hao is concerned about whether he can get two grants for publishing papers in top journals. β
"What about me? I can't even write a SCI, and I'm still worried about what to write for my doctoral dissertation! β
The others sighed neatly.
Makes sense!
This is not something that they 'ordinary people' can care about at all, anyway, they can't publish two top journal papers in one go.
Zhu Ping looked at Zhang Zhiqiang and asked, "By the way, Zhang Zhiqiang, I think of one thing, do you still need people in the Mason Number Lab?" β
"You want to join?"
"That's right."
Zhang Zhiqiang was puzzled, "Why? You are a Ph.D. student, and the most you can do to come to our lab is to get a subsidy, so it's not necessary at all, right? And now I'm working on a project, very busy. β
"Busy, it's okay, it's okay if you don't have money, Dean Chen suggested that I go to your lab, and he said you have a big project."
"Does it matter?" Zhang Zhiqiang's face was puzzled, "This is not a physical experiment, it is a project, just like the nature of the work of a software company." β
"The main core content must have nothing to do with doctoral students, when the time comes, you are busy for a long time, and you still have to think about your doctoral dissertation, even if you enter the laboratory, you still do the research alone?"
Zhu Ping was stunned for a moment when she heard this, and after reacting, she immediately gritted her teeth, "It turns out that the trap is here!" β
"I'll just say how kind old man Chen suggested that I go to your laboratory, now I know!"
"He definitely didn't want to take me, he almost fooled me!"
Looking at Zhu Ping's angry appearance of teeth and claws, the rest of the office couldn't help laughing.
β¦β¦
Wang Hao had already completed the first proof method, and after he returned to the laboratory, he continued to 'retreat'.
He already had a reason to do the second proof.
One is the Teaching Coin.
Each of the S-level achievements adds 3,000 Teaching Coins.
The second is the school subsidy, a top journal paper, can get more than 200,000 yuan in subsidies.
In addition, he also found it interesting to prove it in the second way.
The second method is not the covering method, but the method of establishing the center line, which is straightforward and rude.
First of all, the number n is regarded as the central number of the large even number S, that is, n is equal to the large even number divided by two.
"Heaven Descends"
If the number n is prime, the natural corresponding even number can be expressed as the sum of two prime numbers.
If n is not prime, take n as the center line and find all the preceding primes p, p1, p2......
Then find the corresponding S-p, S-p1, and S-p2......
Then expand the analysis.
As long as S-p, S-p1, S-p2...... The inclusion of a prime number is enough to prove that any even number large enough can be broken down into the sum of two prime numbers.
This method is still difficult to analyze, but it turns out that it is easier than the first method to get over the difficult points.
Wang Hao did research very patiently, and read two papers halfway to find inspiration.
It took four days to finally complete the proof.
This time the paper was written 25 pages.
"One more proof!" He looked at the computer screen with some excitement, and then carefully read it from beginning to end, and after making sure that there was no problem, he submitted the manuscript.
First, he turned to Bruce Pulitzer, the editor-in-chief of New Advances in Mathematics.
"Bruce, I have a research paper here, and you're definitely going to be interested."
Pulitzer immediately replied, "What paper?" β
Goldbach's conjecture."
ββ¦β¦β
Pulitzer seemed to digest the information for a long time, and it took a long time to reply, "Upload it and send it." β
Wang Hao happily ended the conversation with Pulitzer, and then found Fayes Lebnitz, the editor-in-chief of Acta Mathematica Sinica.
Bunnitz sent him several e-mails, seemingly trying to 'dig' him to Acta Mathematica Sinica.
Wang Hao has published a paper in Acta Mathematica Sinica, but has only published a study of the Mongeampère equation.
One of the big problems with Acta Mathematica Sinica is that it is a quarterly journal, and it only runs once every three months, and the number of papers published is too small, and it usually takes a long time to submit a paper to publication.
Wang Hao decided to submit the paper after noticing that the new issue of Acta Mathematica Sinica would be published next month.
He first asked the question, "If I publish a very influential paper, can I cut the queue to publish it next month?" β
Bunnitz immediately replied, "No problem! β
Wang Hao simply spoke to Bunnitz and asked, "Are you sure you can publish it next month?" From review to publication, there is only half a month left. β
"If it's a major research, of course, you can cut the queue to publish it, Dr. Wang, you can rest assured that there are many top mathematicians in the world who are willing to help us do the review work." β
"Okay."
"What kind of research?"
Goldbach's conjecture."
ββ¦β¦β
Bunitz made sure and asked, "You're not kidding, are you, Dr. Wang?" β
"Of course." Wang Hao added after speaking, "By the way, by the way, it is best to publish it next month, because I also submitted "New Advances in Mathematics". β
Bunnitz was shocked to hear it, "Multiple submissions in one draft?" This is not allowed! β
"Of course not." Wang Hao explained, "I used two methods, two completely different methods, so I applied for two journals separately. β
Bunnitz was silent for a long time, and then said, "Now I'm sure you're joking." β
(Ask for a commuter pass)