Research starts with PhD students

Chapter 97: Reporting the accident, rescue specialist Zhang Shuo! This is a genius!

"Professor Zhang Shuo and I worked together to prove the Jebov conjecture!"

"Yes, it's the Jebov conjecture!"

"We are quite sure that the proof is complete and perfect..."

Sun Xingli stood on the podium and shouted excitedly, he had waited for this moment for too long.

When he completed the proof, he imagined himself standing on the stage, announcing the completion of the proof to the audience.

His face turned red with excitement!

The lecture hall was completely silent, with everyone staring at Sun Xingli on the stage.

When Sun Xingli walked onto the stage, not many people paid attention. The title of his report was "Test Method for Prime Number Distribution Starting from Square Numbers."

It is difficult to say what the results are in the areas of prime number distribution and testing. Some results are so great that they can win international awards, while others are so small that they can be ignored.

In most cases, it's just a small study.

Most people didn't care. Their minds were not on the report. Some were still chatting. Only a few really paid attention to the report.

For example, Professor Zhu Hao who was on the judging panel.

He said to Professor Shen Yuan next to him, "Zhang Shuo's report has been moved to this hall, right behind this report. They are together, and it seems that they have a result to be released."

"That would be interesting."

After the two talked for a few words, they heard Sun Xingli excitedly announce that he had proved the Jebov conjecture.

Shen Yuan said blankly, "Such a big achievement?"

Zhu Hao was also confused.

He knew that Sun Xingli and Zhang Shuo had results to publish, but he never imagined they would be so big.

Sitting in the second row was Xi Ruying, also a mathematics professor at Soochow University. She came with the team to the conference and chatted with Sun Xingli and Zhang Shuo on the way.

Xi Ruying was a little confused now. They all came here together and knew the content of Sun Xingli’s report, but in the end they announced that the Jebov conjecture was proved?

This is too sudden!
The Djebov conjecture is not as good as the twin prime conjecture, not as good as Zhou's conjecture, and is far less famous than the Goldbach conjecture, but it is also a major problem in the study of the laws of prime numbers.

I can’t say that I have a 100% chance of winning an international mathematics award for number theory problems of this level, but I can win various small awards, and I can make a living for the rest of my life with just one research result.

Others in the lecture hall were equally surprised.

The audience here are all scholars in the field of number theory, and they are all very familiar with the Gerbov conjecture. Many people's first reaction is, "Could it be that the proof relies on the prime number theorem?"

The prime number theorem is an important theorem in prime number distribution theory, which is used to describe the approximate distribution of numbers.

It gives a proposition about the number of prime numbers and provides an estimation method for the probability of drawing a prime number from integers, that is, if a natural number not greater than n is randomly selected, the probability that it is prime is approximately 1/ln n.

It is easy to prove the Gerbov conjecture using the prime number theorem, but the mathematical community does not recognize the proof of the prime number theorem because there will be errors in studying the "probability distribution" of prime numbers.

The prime number theorem has an error of ±5%, which far exceeds the requirement to confirm the existence of prime numbers.

After announcing the completion of the proof, Sun Xingli took a long time to calm down his excitement and officially start explaining the report.

"My report is on 'A method to test the distribution of prime numbers starting from square numbers', which is also the core method of the proof."

“I will explain this part below.”

Sun Xingli took a deep breath and turned sideways to face the projection screen, which displayed several lines of equations. "My research started with the analysis of the solutions to several Diophantine equations..."

……

At the entrance of the lecture hall.

Wu Lining walked in with curiosity. She wanted to take a look at Zhang Shuo's report.

After entering the lecture hall, she found the atmosphere very strange. The hall was very quiet and everyone was listening attentively to the lecture on the stage.

This situation is rare.

Generally speaking, when scholars give reports, the conference hall cannot be said to be chaotic, but some noise is normal. Most people just listen instead of really trying to understand the content.

Some scholars were not interested and simply spoke in a low voice from the audience. There was no problem as long as they did not make loud noises that affected the report.

Wu Lining felt a little uncomfortable. She stood at the back and glanced at the lecture hall. She found that Zhang Shuo was sitting in the middle row close to the corridor, with an empty seat next to him.

She walked over and touched Zhang Shuo's arm.

When Zhang Shuo saw Wu Lining, he simply moved a seat inside and vacated the empty seat in the corridor.

Wu Lining sat down and asked, "When is your report?"

"next."

Wu Lining nodded slightly, looked around and asked curiously, "Why is no one talking? I mean... it's weird."

Zhang Shuo pointed towards the stage.

A middle-aged professor behind her knew Wu Lining. He leaned over and whispered, "They are working on proving the Jebov conjecture."

"what?"

Wu Lining was stunned for a moment. After she reacted, she opened her mouth wide and looked at the stage in shock.

In the back row, Zhou Kaijun found an empty seat and sat down.

He came specifically to listen to Zhang Shuo's report.

When he reached the door, he heard someone announce that the Jebov conjecture had been proved. He immediately came in and found a seat to sit down, but he didn't take it seriously.

Such reports are usually wrong.

Even if the paper has passed the conference review and has been presented at the conference, there will still be problems in more than 80% of cases.

Of course, there's no harm in listening.

Someone has announced a major achievement, so it would be interesting to come and listen and find out the problems.

Many people think so.

Many people who heard the news came to Hall No. 4.

Zhou Kaijun was lucky as he arrived relatively early and was able to find an empty seat in the back row.

Before long, the back row was full.

Not long after, even the corridors were packed with people, and many people simply found an open space to stand and listen.

Hall 4 is a small hall, more than twice smaller than Hall 7. With so many people coming at once, the lecture hall was immediately packed, and there were even many people standing at the door.

These people didn't come to listen to the report, they just came to watch the fun.

On the podium.

Sun Xingli spoke very smoothly. He had prepared his report very well and there were no problems during his half-hour lecture, not even a few slips of the tongue.

After finishing one content, he stopped to drink some water, and when he looked up again, he felt a little nervous.

Qiu Chengwen and Peng Ruochuan are here.

After they arrived at the door, the crowd consciously made way for them, and the two walked straight to the first row of judges' seats.

There are still vacancies in the judging panel.

After they found their seats and sat down, they listened carefully to the explanation on the stage.

Sun Xingli immediately felt the pressure, but Peng Ruochuan was relatively better. They even talked when they signed in.

Qiu Chengwen?
That’s Mr. Fields, a real big shot standing at the top of the mathematics pyramid.

It is obvious that Sun Xingli's tone has become much slower. When explaining a problem, he will repeat it subconsciously, as if to make sure there is no problem with the steps.

He talked about the difficulty of the research, which is also the most complicated part of the logic. "It can be seen that the n straight lines are completely continuous, which means that whether they pass through an integer point on a prime coordinate line or not is a completely unrelated independent event."

"The situation is the same as one to n."

"In this case, the basic formula for prime numbers can be applied to this area. The number of prime curves it contains is..."

Sun Xingli suddenly felt something was wrong when he was talking about "prime curve numbers". He looked at the previous "prime curve numbers" formula again, and then looked at the back, and found a loophole in the logic.

He rubbed his hair hard, cold sweat broke out, "Let's take another look."

Having said that, he went through it again from the beginning.

When it came to 'prime curve numbers', he found the same problem again. He was drenched in cold sweat and stood on the stage at a loss.

"Hula~~~"

The audience suddenly became noisy.

"Is there a problem?"

"It seems there is a logic loophole, right in this prime curve number."

"I said it's impossible!"

"This usually has problems. Maybe the vulnerability was not discovered during the research, but there was a problem when reporting..."

In the front row of judges, Zhu Hao and Shen Yuan were both very calm.

Shen Yuan also said to Peng Ruochuan and Qiu Chengwen, "There shouldn't be any problems here."

"This young man is too nervous..."

He said, smiling at Qiu Chengwen and Peng Ruochuan, "It's still your fault. I was talking very well just now. When you came, people were obviously nervous."

"is it?"

Qiu Chengwen also smiled and shouted to the stage, "Don't be nervous, there's no problem with the research, just think about it carefully, don't be in a hurry!"

This shout made the venue quiet again.

Those who said that there were problems with the research remained silent. Qiu Chengwen's affirmation was still very convincing.

There is nothing wrong with the research, it's just that the person reporting it is too nervous!
In fact, most of them didn’t understand, they just came to watch the fun.

Qiu Chengwen had only listened to a little bit and had missed the previous content, so it was impossible for him to know whether there were any specific problems. However, Shen Yuan and Zhu Hao's affirmation also showed that there was no problem with the research.

This did not help Sun Xingli figure out the problem. He felt relieved after hearing Qiu Chengwen's cry, but after careful analysis, he found that there were still loopholes.

He stared at the content on the whiteboard for a long time, his mind in a mess for a while.

Many people were anxious in the audience.

For example, Luo Yongjun.

He didn't listen carefully at all. The argument about prime numbers used some theorems and rapid transformations, which could not be understood in a short time.

He just came to show his support.

Seeing Sun Xingli frozen on the stage, Luo Yongjun couldn't help but turn his head and said to Zhang Shuo behind him, "Dali can't do it!"

"Or you should go up!"

"Go to the rescue!"

"Shall we go now?" Zhang Shuo hesitated because Sun Xingli was talking about his part.

As he was speaking, he saw Sun Xingli had turned his head and gave him an 'emergency' look.

"All right!"

Zhang Shuo sighed and stood up.

Wu Lining made way.

Zhang Shuo walked up the aisle to the stage and pointed behind him. Sun Xingli felt relieved. He shouted into the headset, "Professor Zhang Shuo will explain the next part."

After saying that, he quickly walked off the stage and walked towards Luo Yongjun.

The attention of the lecture hall was on Sun Xingli. He didn't know how painful it was to walk all the way there. The good news was that a girl with a very friendly smile took the initiative to give up her seat for him.

He sat down quickly.

Then, I heard the girl ask, "Professor Dali, is this the research you and Zhang Shuo completed together?"

"Professor Dali?"

Sun Xingli's expression froze on his face, and he quickly turned around and glared at Luo Yongjun in front of him.

At this time, the attention of the lecture hall was focused on Zhang Shuo.

Amid many people's confusion, Zhang Shuo walked up to the podium and said, "Professor Sun was too nervous just now. I will continue to finish the rest of the explanation."

He said to Ren, "Is this okay?"

"of course can."

"no problem."

Zhu Hao and Qiu Chengwen spoke together.

People who came later didn’t understand the situation. Why did Zhang Shuo suddenly come up to explain?

It turned out that the people in the lecture hall had already reacted.

When Sun Xingli first came on stage, he said that he and Zhang Shuo had completed the proof together, but because people were too surprised, many people subconsciously ignored the issue of "cooperative proof".

Now, they react.

Zhang Shuo also participated in this research!

But even if Zhang Shuo participated, could he, a person in the field of algorithms and computational mathematics, complete the proof of the Jebov conjecture?
The two fields are unrelated!

Zhou Kaijun's reaction was the same as everyone else's. He didn't expect Zhang Shuo to do research in number theory, and to participate in the "Proof of Mathematical Problems of Prime Number Distribution", and then go on stage to take over his partner and continue giving the report?
This situation is completely beyond imagination.

"It is said that Zhang Shuo has a high level of computational mathematics and can also accept...number theory?" He felt that his teacher Jiang Weizheng would be very surprised if he knew about this.

Zhang Shuo didn't understand what the audience was thinking. He nodded to the judges, turned calmly and walked towards the whiteboard to talk, "Looking at the formula for the number of prime curves, we can use the same logic to prove that the number of prime curves in this row of N curves is also..."

"It follows that for any sufficiently large n, the prime number preceding n squared is ..."

"So we can conclude that for any sufficiently large n..."

His explanation was clear in tone and logical.

I quickly connected to the part where Sun Xingli was stuck with just two substitutions. Then I spent about ten minutes talking about the follow-up content of the prime number testing method.

After only a dozen minutes of explanation, the experts and scholars on the jury were amazed.

Qiu Chengwen said to Peng Ruochuan, "Zhang Shuo's speech was much clearer than that young man's just now. Up to this point, I understand a little bit."

"When giving reports and explanations, this level of performance doesn't look like that of an inexperienced young person."

"Yes."

Peng Ruochuan said, "It can be seen that he knows the research very well, and he is so confident that he is sure that the research is correct and has been completed. He just wants to talk about it."

"This is genius!"

Peng Ruochuan sighed.

Qiu Chengwen smiled and said nothing more. He felt the same way, but instead of admiring the "genius", he thought of himself.

He is also a genius.

When Zhang Shuo was in his mid-twenties, his mind was at its most active in his life. At the time, he was already a professor at Stanford University and had begun research on the Calabi conjecture.

At the age of 27, newlyweds, he found the inspiration to solve the problem, for which he won the Fields Medal.

Zhang Shuo is also a genius and is at the best age of his life.

The Dzhebov conjecture is very complex and difficult, but if it is left to a genius, it is possible to solve it!

Qiu Chengwen was somewhat looking forward to it.

(End of this chapter)