Scholar’s Advanced Technological System

“neither?”

Morina is stunned.

Set the god, she looked at Lu Zhou and said in a suspicious tone: “I know that you are a genius… Although Goldbach is not my research field, if I am not mistaken, you should not intend to Has this century of work been overthrown?”

Lu Zhou faintly laughed and said with a relaxed tone.

“The problem of a+b is, in the final analysis, a complex expression of Goldbach’s conjecture, that is, each large even number N can be expressed as A+B, where the prime factors of A and B do not exceed a and b, respectively. When a=b=1, the problem will eventually return to the original expression, that is, any even number greater than 2 can be written as the sum of two prime numbers.”

The number of prime factors is 1, which is naturally prime.

So the form of 1+1 is ultimately the Goldbach conjecture itself.

Morina said in a ridiculous tone, “Do you mean that people who studied Goldbach’s conjecture are doing nothing for a century?”

“Of course not,” Lu Zhou shook his head, suddenly throwing a question that was unexpected to her. “Do you know about sports?”

Morina squatted slightly and frowned: “Sports?”

Lu Zhou: “Know the long jump.”

Morina curl one’s lip, speechless: “Of course.”

Lu Zhou faintly laughed and said: “Brown’s a+b proof method is equivalent to the run-up before the long jump. Although the run-up time itself is not included in the score, is the run-up useless? For the same reason, a+b is quite The run-up of Goldbach’s conjecture. If it weren’t for it, there would be no later big screening method – an inspiring and potential analytical tool for analytic number theory. It can even be said that the value of the big sieve method has gone beyond Goldbach guessed itself.”

Whether or not the big sieve method can really cross the final 1+1, it has already completed its historical mission and played an important role in analytic number theory.

Including Lu Zhou, all benefited a lot.

Kneeling down the long hair, Morina looked at Lu Zhou: “So, how are you going to prove?”

Lu Zhou’s mouth evoked a confident smile.

“Of course, it is proved by your own method.”

do not know why.

Seeing the confident smile on his face, Morina’s heartbeat inexplicably accelerated for two seconds.

Of course, for a woman who has decided to marry mathematics, the so-called heartbeat acceleration is just a moment…

……

The solution to a mathematic guess requires a cumulative amount of work and a creative genius.

Both are indispensable.

Just like Fermat’s theorem.

When the Gushan Zhicun conjecture was proved, although people still could not see the specific prospects, all the people had counted them, because a tool to solve the problem has already appeared. Sure enough, Andrew Wiles, who finally completed this historic work.

But for the Goldbach conjecture, whether it is the big sieve method or the round method, it is almost the same feeling.

The work of the predecessors has done a lot of preparation, but whether it is from the “9+9” to the “1+2” Chen’s theorem, or the proof of the weak guess of Goldbach under the odd conditions, only the difference last step. Even the meaning of Chen’s theorem is more to let other mathematics homes know that the road of large sieve method has been done to the extreme by Chen Jingrun, and this road has nowhere to go.

The same is true for the round method.

It is for the same reason that in the speech at the end of last year, Helfgott used the phrase “to fully prove Goldbach’s conjecture, we still have a long way to go” as the final conclusion, expressing ourselves short-term Can not solve the Bach conjecture without hope.

At least, there is no hope for the round method.

Lu Zhou can’t help but start to reflect, is it true that both methods have entered a dead end.

He had faced similar problems when he first studied the Twin Prime Number Conjecture.

Zhang Yitang’s research selects the lambdafunction by clever selection, and limits the spacing of the prime pairs to 70 million. The successor narrows the number to 246 within one year, and then can’t go further.

Lu Zhou’s original idea was to pick an appropriate lambdafunction, but after countless attempts, I finally found that this road could not get through.

There are so many lambdafunctions to choose from, but no matter how he looks for, he can’t find the right one.

Until he was inspired, he tried a very different proof of the idea, and introduced the topology theory into the concept of the sieve method, which opened the door to the new World.

Although this idea was first mentioned in the thesis of the Goldbach conjecture study of Prof. Zelberg 95, it is his own to improve it and introduce it into the prime question.

Later, on the basis of this, Lu Zhou introduced the knowledge of group theory, and pushed the prime distance of finite distance to infinity. On this basis, it solved the Polignac conjecture. This method has been completely changed from the two magical transformations. The original appearance of the sieve method.

Therefore, Lu Zhou engraved a new name for this weapon of his own, namely the “group structure method”.

But when thinking about Goldbach’s conjecture, inertial thinking allowed him to selectively ignore his tools.

On the surface, the group structure seems to have nothing to do with the Goldbach conjecture, but from the root it evolves from the sieve method and always goes to solve the prime problem.

As long as improvements are made, it may not be possible to use this tool for the Goldbach conjecture that is also a prime question.

When this method of mathematics is constantly improved and perfected to solve many problems and perfected from a toothpick to a Swiss army knife, its meaning may no longer be a simple tool, but gradually evolve into a theoretical framework! And it is the theoretical framework in analytical number theory!

Just like the famous “Secondary Diseases” in the world of mathematics, the “intergain Teichmüller theory” created in the study of the ABC conjecture is the same as the “extra-equivalent structure of extraterrestrial arithmetic”.

Whether it is to establish the theory first to prove the value of the theory, or to develop a novel theory while studying the specific mathematical problems, there are precedents to follow.

From the Goldbach conjecture, Lu Zhou vaguely saw hope.

……

After coming out of the Diet Club, Lu Zhou did not go to the library for a while after dinner, but went to the Princeton Institute of Advanced Studies.

Although he didn’t make an appointment, according to Delin’s own statement, no accident, he will be here every night during the 6 point to 8.

Knocking on the door of the office, Lu Zhou walked in.

Stopped the ballpoint pen in his hand, Professor Pierre Deligne looked towards Lu Zhou, standing across the desk, asking in a relaxed tone.

“Have you considered it?”

Lu Zhou nodded, said.

“Yes, I plan to continue my research… I am sorry, I may not be able to extract extra energy to join your subject.”

Pierre Deligne nodded did not have any dissatisfaction.

Sitting in his position, it is difficult to be as narrow-minded as the general doctoral student Boss, using some boring tests to test whether the student is “obedient.” As he said at the beginning, he offered Lu Zhou two options.

Pierre Deligne: “I respect your choice, but as your mentor, I need to know what your research topic is?”

Lu Zhou replied truthfully: “Goldbach conjecture.”

Pierre Deligne nodded did not surprise Moran with the subject he studied. The usual calmness on his face was to surprise Lu Zhou who threw the proposition.

Is it…

Pierre Deligne Old Senior also believes that he is the “best candidate” to solve this conjecture?

How amuse this is.

Lu Zhou was a little smug in her heart.

Pierre Deligne: “Goldbach conjecture is an interesting question. I have studied it when I was young, but I didn’t go deep and may not be able to provide you with much help. The closest international research results are Chen’s theorem and Helfgot’s proof of weak conjecture, I am looking forward to your research on something new.”

“Of course, in addition to your own research, there are some work outside of my research that I need to do. For example, a job like a teaching assistant.”

Lu Zhou nodded: “No problem… If it’s a course on number theory or functional analysis, I can still talk about it.”

“The main thing is to analyze number theory. I believe that with your ability, it is more than enough for this job… In addition, I have prepared a meeting for you.”

After a pause, Pierre Deligne’s old mister stretched out the drawer, took out a certificate-like thing from it, placed it on the table, and eased a smile on the serious face.

“I heard from you that your family’s conditions are not good. When I helped you with the admission procedures yesterday, I helped you solve the problem of the bursary. You will take this thing for a while and then take the scholastic affairs. By the way, The tuition fee has been solved.”