Chapter 236 Prove My Brother's Guess!

The sky is bright outside the window.

Lu Zhou, lying on the desk, slowly opened his eyes.

Rubbing his sour eyebrows, he looked at the calendar on the corner of the table.

It's already May...

Lu Zhou shook his head with a headache.

Since he came to Princeton in February, he has spent almost half of his time in this ten-square-meter house. Except for driving to the supermarket to buy groceries, he has basically never left the house.

What bothered him the most was the $5,000 club card, which he didn't even use a few times.

After receiving that task, he has been challenging Goldbach's conjecture for nearly half a year.

Now, it all finally came to an end.

Taking a deep breath, Lu Zhou stood up from his chair.

After reaching the last step, he was not so anxious.

Humming a little song, he walked into the kitchen and made himself something to eat. Lu Zhou even took out a champagne from the refrigerator, opened the bottle cap and poured it for himself.

The champagne was bought two months ago, just for this moment.

After quietly enjoying the dinner, Lu Zhou calmly went to the kitchen to wash his hands, then returned to his desk, and began to finish his work during this period.

After nearly fifty pages of the paper, he picked up his pen and continued writing in the place where he fell asleep before finishing yesterday.

[...Obviously, we have Px(1,1)≥P(x,x^{1/16})-(1/2)∑Px(x,p,x)-Q/2-x^(log4 )...(30)]

[...From formula (30), Lemma 8, Lemma 9, and Lemma 10, it can be proved that Theorem 1 is established. 】

The so-called Theorem 1 is the mathematical expression of the Goldbach conjecture he defined in his paper.

That is, given a sufficiently large even number N, there exist prime numbers P1 and P2 such that N=P1+P2.

Similar to it is Chen's theorem N=P1+P2·P3, and a series of theorems about P(a, b).

Of course, although this formula is now called Theorem 1 in his paper, it may not be long before the mathematical community generally accepts his proof process, and this theorem may be upgraded to "Lu type theorem" something like that.

However, the review cycle for such major mathematical conjectures is generally longer.

It took three years for Perelman’s paper proving the Poincaré conjecture to be recognized by the mathematics community. Mochizuki Shinichi’s proof of the ABC conjecture is mixed with a lot of "mysterious terms", and the review threshold must at least read him first. The "Cosmic Period Theory" is considered an introduction, so no one has read it until now, and it is expected that the future will be very difficult.

The review speed of a major conjecture largely depends on the popularity of the proposition and how "new" the work is.

When proving the twin prime number theorem, Lu Zhou did not use a particularly novel theory. He just innovated the topology method mentioned in the paper published by Professor Zellberg in 1995. He has already studied this paper. A person can quickly understand what work he has done.

However, for papers that prove the Polignac-Lu theorem, the review period is obviously lengthened by a large amount.

Even though his group construction method has been reflected in the proof of the twin prime number theorem, the element of magic modification makes it far away from the scope of the sieve method. Even if the reviewer is a big cow like Deligne, It took a lot of time to come to a final conclusion.

And this paper on the proof of Goldbach's conjecture, Lu Zhou wrote a total of 50 pages, and at least half of it was spent on discussing the theoretical framework he built for the entire proof.

This part of the work can even be published as a separate paper.

To a large extent, his review cycle depends on others' interest in and acceptance of his theoretical framework.

As for how long it will take, it is beyond his control.

In fact, Lu Zhou had been thinking about what the system's criteria for judging the completion of tasks would be.

If he completes the proof of a theorem, but no one recognizes his work for ten years or even decades, does it mean that his task will have to be stuck for so long?

And what puzzled him the most was that since the system database stored huge data, it must come from a higher civilization—at least this civilization is more developed than the civilization on Earth.

Leaving aside the motivation for its existence, Lu Zhou felt that the system from a higher civilization should not refer to the opinions of "natives" to determine whether a problem is solved.

Based on this analysis, Lu Zhou came to the conclusion that the completion of the system task should be judged by two factors.

One is correctness.

The other is to make it public!

In fact, there is a very simple way to verify whether his proof is correct.

If it's just for publicity, it doesn't have to be published in journals...

...

After completing the thesis proving Goldbach's conjecture, Lu Zhou spent three full days sorting out the paper on the computer and converting it into a PDF file, and then logged on to Arxiv's official website to upload the thesis.

He is more than 90% sure of the correctness, because his habit is to rigorously check every conclusion and repeatedly scrutinize all possible mistakes.

As for publicity.

Arxiv without peer review is undoubtedly the fastest choice!

The only disadvantage may be that it conflicts with the submission principles of some journals and conferences. For example, uploading papers before the deadline may violate the double-blind rules, etc., but Lu Zhou doesn't care much about these things now, and he believes that those journals that accept manuscripts , and don't care about those minutiae.

After all, the contributor is no longer an unknown person, but the winner of the Cole Prize in Number Theory. The academic achievement of the report is not an obscure work, but the Goldbach conjecture in the eighth question of Hilbert's 23 questions, one of the crowns in the field of analytical number theory second only to the millennium problem!

In two days, he will reorganize the paper again, fix the formatting problems, make it look more comfortable, and then submit it to the "Annual Journal of Mathematics".

The paper on the proof of Fermat's last theorem that proved Wiles was reviewed by six reviewers at the same time. Lu Zhou didn't know how many big bosses his paper would be reviewed by, but it should not be less than four Bar?

Looking at the prompt pop-up window on the webpage that the upload is complete, Lu Zhou let out a sigh of relief.

In this way, it is considered to be public, right?

After the paper is published, people or research units who pay attention to this field will receive an alert (similar to a reminder). If there is no accident, someone should already be reading his article in a certain corner of the earth.

He just didn't know whether the system had a judgment value for the number of papers read. If so, he would have to wait a few days to verify his guess.

Sitting in front of the computer, waiting for a cup of coffee, Lu Zhou closed his eyes, took a deep breath, and muttered quietly.

"system."

When he opened his eyes again, it was pure white.

It has been a long time since I came back here last time, so that Lu Zhou even felt a little uncomfortable when he came here this time.

Walking to the side of the translucent holographic screen, he stretched out his hand and pressed the position of the taskbar with a trace of anxiety.

Soon he will be able to verify his guess...

At the same time, you can also know whether your thinking is correct or not.

and many more……

At this moment, Lu Zhou suddenly realized a problem.

If the system does not respond to itself, does it mean that the analysis of the conditions for the completion of the task is wrong, or does it mean that there is a problem with the thesis itself?

However, the system did not give him time to think about this question.

A reminder sounded like the sound of nature.

Immediately afterwards, a line of text came into his eyes.

[Congratulations to the host, the task is completed! 】