Research starts with PhD students

Chapter 94: Proof completed, see you Zhou Kaijun at the mathematics conference!

"You said my research has a direct effect on proving the Gerbov conjecture? I don't even dare to say that myself."

"This is what I came up with while studying the Jebov conjecture, but..."

Sun Xingli smiled bitterly and said, "You can't just look at the square number. I only proved what's behind the square number..."

Zhang Shuo smiled and said, "Brother Sun, you have said that mathematical research is often a matter of inspiration. If you can't think of it, it may be that you are just a little short of inspiration."

"The front and back of a square number are different, but the important thing in mathematics is the method. Use the same method to study the back of the square number..."

"It won't work." Sun Xingli shook his head. "I've thought about it a long time ago, but I have no clue. It seems to have nothing to do with it at all."

Zhang Shuo did not refute.

Mathematical research is like this: if there is one point that you can’t think of, it feels like the method is completely ineffective.

He continued, "It's the same question as before. What do you think if I use your method to prove the Jebov conjecture?"

Sun Xingli's reaction was indifferent, and he obviously didn't believe it. He still said, "So, if you want to prove it, we can publish a paper together?"

"So I'm taking advantage, right?"

"almost."

Sun Xingli shook his head. “Although most people use my method and mathematics pays more attention to methods, the results are equally important. Moreover, many people pay more attention to the results.”

He still didn't believe what Zhang Shuo said, "It can prove the Jebov conjecture."

In the field of number theory, Zhang Shuo has no authority to speak of. Comparatively speaking, he knows much more than Zhang Shuo.

He can't even judge the research he has done, so how can Zhang Shuo judge it?
Is it based on feeling?
Do you still say that geniuses have spiritual knowledge that others don’t have?

On the other hand, Zhang Shuo really wanted to complete the research. He established two research tasks, and the "prime number distribution test method starting from square numbers" has been completed, which shows that Sun Xingli's research is indeed very complete.

After submitting the task, he had a deeper understanding of Sun Xingli's research, which was no less than that of Sun Xingli himself.

This is another benefit of system tasks.

Even without the scientific research coin reward, you can still have a deeper understanding of the research content.

The progress of the task "Proof of the Debov conjecture" has reached '84.171%', and there are only 16 percentage points left to complete. Each percentage point requires 6 scientific research coins, and a total of only 96 scientific research coins are needed.

Open the system——

【Scientific research currency: 266. 】

When I saw the number '266' and compared it with the 96 scientific research coins required for the research, I could hear the devil's breath in my ears, "Krypton coins, Krypton coins, Krypton coins..."

"As long as you spend money, it can be done instantly!"

"That's a proof of a mathematical conjecture, and it's the interdisciplinary Jebov conjecture."

"Krypton coins, krypton coins, krypton coins..."

Zhang Shuo shook his head vigorously, then followed the call from his ears and gritted his teeth to spend six research coins.

【Scientific research coin - 6.】

That’s not to buy progress, that’s to inspire!
After spending six research coins, his thinking became much smoother, and he knew the direction to prove next. Just as he thought, the research was to use Sun Xingli's research method and then do a prime number distribution test on the square number backward.

The Gerbov conjecture states that there must be a prime number between n and (n+1).

Sun Xingli's research method is to test the prime number distribution starting from the square number, and then superimpose the prime number distribution test after the square number, connecting the beginning and the tail together, and naturally completing the primality proof between n and (n+1).

Sun Xingli must have thought about this direction carefully, but he never completed it. He must have been stuck on "using the same method to test the prime number distribution behind the square number."

The key point of the research is to complete the argument by means of equation 'solution set mapping'.

This is a mathematical method used in argumentation in the field of advanced partial differential equations.

Zhang Shuo thought about it and began to study it carefully. He wrote on the draft book while thinking, and it took him a long time to write down a few steps.

"Are you really researching?"

Sun Xingli was sure that there was no problem with his research and seemed to relax. He started playing games again. When he turned around, he saw Zhang Shuo writing something with deep thought.

He peeked over and commented, "I've done this kind of analysis before, and it's useless!"

“It’s not going anywhere!”

Zhang Shuo said indifferently, "When I'm done, don't regret sharing your achievements with me."

"I wish you could finish it!"

Sun Xingli smiled and said, "My research can only be submitted to Zone 1 at most. If I can solve the Gerbov conjecture, it must be published in Annals of Mathematics or Acta Mathematica Sinica, and I have to jump the queue to publish it!"

"When the time comes, let Lao Luo see that he shouldn't always brag about his Monge equation..."

"What are you talking about!"

Luo Yongjun heard his name as soon as he entered the room, and walked over to ask, "Dali, are you saying bad things about me?"

Sun Xingli immediately raised his head and corrected, "Can you please not call me by that nickname?"

"What's that called?"

"Professor Sun, Teacher Sun, or Sun Xingli is fine..."

"Okay, it's up to you."

Luo Yongjun pretended to accept the advice and then continued to ask, "Dali, what did you talk to Zhang Shuo about?"

Sun Xingli was speechless for a long time, and finally said, "Zhang Shuo said he wanted to prove the Jebov conjecture using the method I studied."

"??"

Luo Yongjun frowned and asked Zhang Shuo in confusion, "Aren't you going to prepare your graduation thesis?"

"correct."

Zhang Shuo nodded. "Using this conjecture as a graduation thesis is more valuable than expanding the boundaries of the Monge-Ampere equation, so I decided to change the content."

“Will you ever graduate in this lifetime?”

Luo Yongjun finished speaking, "But it doesn't matter. If you don't submit your paper for a year, the college will probably find a published paper as your doctoral thesis, and then give you a diploma directly."

"Genius's preferential treatment!"

Sun Xingli gave Zhang Shuo a thumbs up.

Luo Yongjun agreed, "I feel pressured if he doesn't graduate. Just now when I went to the High Court, Wang Hui joked that your students became researchers and presented their results at international conferences, but they still haven't graduated from you. Do they have to get Fields to graduate?"

"How did you get back?" Sun Xingli asked curiously.

Zhang Shuo also raised his head curiously.

Luo Yongjun raised his lips, "I told him right away that Zhang Shuo is waiting to publish another paper in the four major journals before graduating. PhD students who publish in the four major journals will be rewarded 150,000 yuan, which is 50,000 yuan more than faculty members."

Sun Xingli was very excited after hearing this. He quickly asked Zhang Shuo, "Does your research have any hope? I think it's good too."

"An article costs 50,000 more. When the time comes, we'll each take half."

Zhang Shuo nodded after thinking about it, "If it can be published quickly, I can indeed consider it."

……

Zhang Shuo clocked in at the computer room on time every morning and stayed there all day, devoting himself to the research of the Jebov conjecture.

The direction of this research is already clear.

Sun Xingli's research method, combined with the 'equation solution set mapping', can be transformed in a very clever way to test and prove the prime numbers behind the square number, and then combined with the previous proof, the proof can be completed by connecting the beginning and the end.

The direction is clear, but the difficulty is still very high.

Sun Xingli had already thought of the direction of proof, but there was no progress for a long time, and he even felt that there was no hope at all. This is enough to show how difficult the proof is.

Zhang Shuo was very interested in the research, partly because he had never done similar research and it felt very novel.

On the other hand, I have also gained a lot from my research, including an understanding of number theory methodology and an understanding of numbers.

This is indeed a new field for him.

When he doesn't understand something clearly, Zhang Shuo will directly ask Sun Xingli.

In the field of number theory, Sun Xingli's breadth of knowledge is worthy of recognition. He can give many explanations once many contents are mentioned.

He sat next to Zhang Shuo.

After a few days, Sun Xingli was very sure that Zhang Shuo was studying the Jebov conjecture and had expanded on his research methods.

It is not clear whether it can be proved, but judging from the question asked, it seems very close?

Sun Xingli simply joined in the research.

In one week, the two of them completed the final '2%' together.

【Task 2】

[Research project name: Proof of the Jebov conjecture (difficulty assessment: B). ]

[Progress: 100%.] (Task completed, can be submitted!)
"Whoo~~~"

"Finally finished!"

Zhang Shuo stretched his body and submitted the task, and was rewarded with 60 scientific research coins.

The number of scientific research coins awarded is 10% of the number required for the task, which means that the system recognizes him as the second contributor to the research.

"Expenditure: 24 points, gain: 60 points..."

“Guaranteed profit!”

During the entire research process, Zhang Shuo spent money four times, representing four key difficulties. He finally completed the research and earned 60 research coins. After submitting the task, he had a more thorough understanding of the entire proof process, which can be said to be a fruitful one.

Sun Xingli looked at Zhang Shuo in confusion, "What is completed? How is it completed?"

"Didn't we just connect two equations? We haven't proved it yet?"

He simply didn't realize the research had been done.

Zhang Shuo smiled and said, "No need for proof, right?" He picked up the pen and wrote several conversions in a row in the blank space of the draft book.

"Look, it's over!"

Sun Xingli stared at what he wrote carefully, and opened his mouth in surprise for a long time, "You thought of it just now?"

"Yes?"

"Your brain is so quick? You are indeed a madman... But, we have completed it? The proof of the Jebov conjecture?"

"yes?"

"Is it really done?"

"Of course."

Sun Xingli stared at Zhang Shuo seriously, his expression blank for a long time, and suddenly he stood up with a start, "Done! Done!"

"Ha ha!"

“It’s really done!”

He discovered it and hammered the table hard, causing a loud bang. He didn't care about the pain in his hands at all and continued hammering the table. He couldn't suppress the excitement in his heart at all.

Jebov's conjecture!

There are many mathematical conjectures in the field of prime number research, including the famous Goldbach conjecture, twin prime conjecture, Zhou conjecture and Riemann conjecture, etc.

The Djebov conjecture is relatively unknown, but its importance is comparable to the twin prime conjecture and is higher than the Goldbach conjecture.

The reason why the Goldbach conjecture is so famous is mainly because its content is easy to understand and ordinary people can think about it.

Mr. Chen Jingrun, a famous domestic mathematician, is the mathematician who is closest to proving the Goldbach conjecture.

However, the Goldbach conjecture is just a mathematical problem about prime numbers, and even if it is proved, it does not mean anything.

The Djebov conjecture, the twin prime conjecture, and the highly regarded Zhou conjecture all belong to the study of the "prime number distribution law". It can be understood as "cutting off a part of the prime number law" to do proof, which is related to the mystery of prime number distribution.

This kind of research is absolutely world-class.

Top-notch achievements, research that can be published in the top mathematics journals, proofs of conjectures that can cause a stir in the international mathematics community...

Sun Xingli was really excited.

He couldn't wait to announce the news to the world.

……

The Daya Bay Mathematics Conference is about to be held.

This is an annual mathematics conference held by the Mathematical Society and also a grand event for mathematics in China. Participants include members of the Mathematical Society's Board of Directors and Supervisory Committee, special guests, academicians of the Academy of Sciences, experts and scholars from various universities and research institutions, representatives of editing and publishing units, and so on.

There were more than a dozen people from Soochow University who attended the meeting, including Dean Tan Youming, Institute of Advanced Studies researchers Qi Zhixiang and Su Bingkang, as well as Zhang Shuo, Luo Yongjun, Sun Xingli, and others.

Tan Youming attended the meeting as a special judge.

Zhang Shuo, Sun Xingli, Qi Zhixiang and Su Bingkang will all give research reports at the conference.

One day before the meeting, the group arrived at the conference center, checked into the hotel, and went to the conference center to sign in.

Zhang Shuo, Sun Xingli and Luo Yongjun went to Hall No. 1 to sign in together.

Luo Yongjun kept talking, "Have you really completed your research? The Jebov conjecture?"

"Why don't I believe it? That's Jibov's conjecture!"

Sun Xingli was somewhat helpless when asked, "I've said it several times, Lao Luo, tell me about yourself."

"You always ask, always ask. You say you don't understand when I tell you, but you don't believe me when I don't tell you. What do you want us to do?"

"I am……"

Luo Yongjun paused and thought for a long time before saying, "Surprising! Yes, surprised. That's a mathematical conjecture. It sounds much more impressive than my research."

Sun Xingli said with joy and expectation, "So, don't call me Dali from now on. Once the research is published, I will be a full professor!"

"Come on, call 'Professor Sun' and let me hear it."

Luo Yongjun curled his lips in disdain and walked straight ahead.

Zhang Shuo followed without caring.

Sun Xingli was suddenly very depressed. He found that there was nothing to talk about with the two of them. Luo Yongjun was originally a professor, and Zhang Shuo was also a researcher at the High Court.

professor?

What's so great!

The three of them entered Hall No. 1 together. There were crowds of people inside, and people who knew each other gathered together to greet each other and chat.

In the field of mathematics in China, Luo Yongjun, Sun Xingli, and Zhang Shuo are all relatively unknown. Some people may know about their research, but very few people in the top mathematics circles know them.

They signed in very low-key.

When Zhang Shuo signed his name, an old professor next to him suddenly asked in surprise, "Zhang Shuo? From Soochow University?"

Many people nearby looked over.

"You are……?"

Zhang Shuo turned his head and looked at the old professor.

The old professor took the initiative to extend his hand, stared at Zhang Shuo with some surprise and said, "I guess you are the Zhang Shuo. You are really young, younger than I thought!"

"I'm Peng Ruochuan, just call me 'Old Peng'."

Luo Yongjun immediately reminded Zhang Shuo, "Academician Peng Ruochuan," and he emphasized the word "academician".

This little reminder is enough.

Zhang Shuo couldn't just call him 'Old Peng', that would be too rude, so he shook hands with Peng Ruochuan and said, "Hello, Academician Peng."

"Hello, hello!"

Peng Ruochuan acted very friendly and patted Zhang Shuo's arm. He then turned around and introduced him to the others, "This is Zhang Shuo. Isn't he young enough? He's the new generation of computational mathematics talent!"

Others also came over to shake hands with Zhang Shuo.

Some people even said in surprise, "Is this Zhang Shuo?"

"So young!"

"It is unimaginable that a general algorithm can be developed for the second-order PDE equation..."

“When it comes to mathematics, young people are still the most talented.”

Several people were talking.

A group of people walked in from the door, led by an old professor wearing square-framed glasses.

He walked in with a smile on his face.

When he heard what the person next to him said, he stopped where he was, his smile faded, and then his eyes swept across the crowd, finally stopping on Zhang Shuo's face.

He turned his head and asked a middle-aged man with round-framed glasses behind him, "Is that Zhang Shuo?"

The middle-aged man glanced in the direction of the crowd.

Zhang Shuo also turned his head, and when he noticed the middle-aged man, his brows couldn't help but frown slightly.

Peng Ruochuan noticed his expression and looked over as well. He couldn't help but laugh. He leaned close to Zhang Shuo's ear and whispered, "Don't mind it. Just pretend you didn't see it."

Zhang Shuo nodded slightly.

The middle-aged man and Zhang Shuo looked at each other and frowned as well. Then, with a complicated heart, he said two words to the old professor, "It's him."

(End of this chapter)