"neither?"

Molina stunned.

Set the god, she looked at Lu Zhou and said with a sceptical 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 a century of work overthrown redo?"

Lu Zhou smiled lightly and said with a relaxed tone.

"The problem of ab is, in the final analysis, a complex expression of Goldbach's conjecture, that is, each large even number n can be expressed as ab, where the prime factors of a and b do not exceed a and b respectively. When ab1, This 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, and naturally it is prime.

So the form of 11 is ultimately the Goldbach conjecture itself.

Molina said in a tone of tone, "Do you mean that people who studied Goldbach's conjecture are doing nothing for this century?"

"Of course not," Lu Zhou shook his head and suddenly threw out a question that was unexpected to her. "Do you know about sports?"

Molina squinted slightly and frowned: "Sports?"

Lu Zhou: "Know the long jump."

Molina grinned and said nothing: "Of course."

Lu Zhou smiled a little and said: "Brown's ab proof method is equivalent to the run-up before the long jump. Although the run-up time itself is not included in the score, but the run-up is useless? The same reason, ab is equivalent to brother Debach's conjecture of running. If it is not because of it, there will be no inspiring and potential analytic number theory research tools. Later, it can be said that the value of the big sieve method has surpassed the Goldbach conjecture. itself."

Whether or not the big screening method can really cross the final 11, it has already completed its historical mission and played an important role in analytical number theory.

Including Lu Zhou, all benefited a lot.

Knocking down the long hair, Molina 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, Molina's heartbeat inexplicably accelerated for two seconds.

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

......

The solution to a mathematical conjecture requires the accumulation of workload 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 preparations, but whether it is the Chen's theorem from "99" to "12" or the proof of the weak guess of Goldbach under odd conditions, it is only the last step. Even the meaning of Chen's theorem is more to let other mathematicians know that the road of the big sieve method has been done to the extreme by Chen Jingrun, and this road has no way 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 also faced similar problems when he first studied the twin prime guess.

Zhang Yitang's research selected the lambda function by clever selection, limiting the spacing of prime pairs to 70 million. The successor reduced this number to 246 within one year, and then could not go further.

Lu Zhou's original idea was to choose an appropriate lambda function, but after numerous attempts, he finally found that this road could not get through.

There are so many lambda functions that you can choose from, but no matter how he looks for, you 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 1995 paper by Professor Zellberg on the study of Goldbach's conjecture, it is his own to improve it and introduce it into the problem of prime numbers.

Later, on the basis of this, Lu Zhou introduced the knowledge of group theory, and pushed the prime number of finite distances to infinity. On this basis, the Polignac conjecture was solved. This method has been transformed by two demons. Unrecognizable, completely deviated from 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 mathematical method is continually perfected 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 Disease" in the mathematics world, the "intergain teihmuller theory" created in the study of ab 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 new theory while studying 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 did not make an appointment, according to Professor DeLin himself, no accident, he will be here every night from 6 to 8 o'clock.

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

After stopping the ballpoint pen in his hand, Professor Delini looked at the boat standing opposite the desk and asked in a relaxed tone.

"Have you considered it?"

Lu Zhou nodded and said.

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

Deligne nodded and did not feel dissatisfied.

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

De Ligne: "I respect your choice, but as your mentor, I need to know what your research topic is?"

Lu Zhou replied truthfully: "Goldbach conjecture."

Deligne nodded and did not express his surprise at the subject he studied like Molina. The usual calmness on his face was to make the accident of the ship that had thrown the proposition unexpected.

Is it...

Deliène also believes that he is the "best candidate" to solve this conjecture?

How amuse this is.

Lu Zhou’s heart was small and proud.

Deligne: "Gödbach's 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 with 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, Mr. De Ligne stretched out the drawer and took out a certificate-like thing from it and placed it on the table. The serious face eased a smile.

"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."