My house collapsed since I became the top scorer in the college entrance examination

Chapter 104 In the dead silence of Lecture Hall 3, the proof of Kratz’s conjecture is completed!

Chapter 104 In the dead silence of Lecture Hall 3, the proof of Kratz’s conjecture is completed!

"What is Xiao Ran doing?" Looking at the young figure who suddenly started writing content on the whiteboard with his back to everyone, Kong Jiyuan's face flashed with confusion, and he couldn't figure out what medicine Xiao Ran was buying in the gourd.

"It seems to be proving the Kratz conjecture." Zhao Licheng said hesitantly. As he spoke, he took out Xiao Ran's paper distributed in Lecture Hall 3 and read it carefully again, tapped the armrest with his fingers, and said to himself:

"The process of demonstrating Kratz's approximation conjecture is already very rigorous. It stands to reason that he only needs to follow the ideas in the paper. This academic report is considered a success, but he suddenly abandoned the paper and argued alone. Doing so has What’s the meaning?”

"Maybe, this academic report may end in failure."

Hearing this, Kong Jiyuan's eyes showed a trace of worry, and he forcefully added: "Maybe Xiao Ran should have his reasons for doing this."

Zhao Licheng shook his head: "I don't know." Then he added: "But it's useless for us to speculate here. You can find out after reading it with peace of mind."

"After all, this is an academic report at the International Mathematical Union, and there are so many big guys here. He shouldn't be joking about his future."

Several Yanda professors who came with Director Hotan were also a little unable to sit still at this moment.

"Is he planning to prove Kratz's conjecture in public?" A gray-haired old professor said slightly uncertainly. From his personal experience, Xiao Ran's paper has already demonstrated a very complete argument, and there should be nothing more that needs to be added. .

Now he put aside the paper he was writing and wrote down rows of calculations on the whiteboard. Apart from wanting to prove Kratz's conjecture, he could not think of any other reason.

"Young people are very motivated and cannot accept old age!" Another professor also lamented that this young man was too courageous to challenge world-class mathematical conjectures at the lecture.

He didn't consider what the consequences would be if he failed?

At this time, an old professor next to him said angrily: "I'm just saying that Xiao Ran is so young. He should have given you a few more words of advice before coming. Look, look! You can obviously go on teaching in a step-by-step manner, but you have to do these things. It would be troublesome if we make a joke."

Director Tian, ​​who was sitting in the front row, turned his head and comforted him with a gentle expression: "Lao Yang, don't be too nervous. I know Xiao Ran well. Since he dares to do this, he naturally knows what he is doing and can relax."

"How can I not be nervous? This is not at home! In foreign countries, in front of so many international scholars, we must pay attention to some international influences. Xiao Ran is giving an academic report here, which represents not only himself, but also Represents the face of our Yan University and the image of the country!
If I had known that he was so nonsense, I would never have agreed to him giving this academic report! "The old professor named Lao Yang said dissatisfied.

Director Tian's face turned dark when he heard this. Lao Yang seemed to be talking openly about Xiao Ran, but in fact he was secretly accusing him of not knowing people well. After all, he took the initiative to give up this opportunity to Xiao Ran.

At that time, Lao Yang faintly expressed his dissatisfaction, but the quota belonged to Director Tian himself. No one else could gossip about whomever he wanted to give.

In addition, although Xiao Ran is only a freshman, his grades are very good. Not everyone can publish a paper in the "Annals of Mathematics". At least, although this old Yang has also published many SCI papers internationally, But none compare to the paper in the Annals of Mathematics.

Therefore, although Director Tian announced that he wanted Xiao Ran to give an academic report at the International Mathematical Union instead of him, Lao Yang did not dare to call Director Ita publicly even if he wanted to gossip.

That's it.

Unexpectedly, he still got the chance to vent at this time.

"Okay, Lao Yang, please stop saying a few words!" The gray-haired old professor couldn't stand listening anymore, "You also said that you should pay attention to international influence. Look at what you look like now! Being noisy makes foreigners cough. ! International friends are laughing at it, is this how you pay attention to international influence?"

"That's right, Lao Yang, you too. You need to change your temper. No matter whether Xiao Ran is confident or arrogant, when we go back and close the door, we will have nothing to say, whether it is praise or criticism. We can't do it outside. It’s not a joke!”

The older generation of scholars still have a very strong sense of collective honor. As the saying goes, family scandals cannot be publicized. What's more, it is not certain whether Xiao Ran is really a "family scandal". At this time, Lao Yang jumped out and openly started internal strife, which naturally aroused public outrage. .

Seeing that he was the target of public criticism, Old Yang muttered and gradually fell silent.

The whispers of the people below naturally had no impact on Xiao Ran at this moment. He was completely in the state and had completely forgotten where he was.

His hands danced quickly across the whiteboard, and mathematical symbols and calculations quickly took shape under his pen.

Time seemed to become irrelevant at this moment. He was completely immersed in the world of mathematics, and his mind was jumping, connecting various seemingly unrelated concepts and ideas.

[Set as any function f: N=1→R as any natural function lim(N→∞)f(N)=+∞.]

【Syrac(Z/3Z)=2^(-a1)+32^(-a1-a2)++3^(n-1)2^(-a1a)mod3^m】

Soon, the whole whiteboard was filled with dense calculations. This time, before Xiao Ran could speak, the staff on the side handed over another whiteboard with interest.

Xiao Ran's hand paused for a moment, then continued writing on the new whiteboard.

Professor Walls stared sharply at the whiteboard and suddenly spoke, asking his old friend next to him: "Do you think he can succeed?"

Director Tian, ​​who had been staring at the calculations on the whiteboard without moving his eyes, smiled and said softly: "I have confidence in him."

"Haha." Professor Walls smiled and joked: "It's not like you Chinese people to say such things."

Director Tian said cheerfully: "Are you interested in making a bet on whether Xiao Ran can successfully prove the Kratz conjecture?" Professor Walls raised his eyebrows when he heard this, and finally moved his eyes from the whiteboard to Xiao Ran. , looking at the back of the young man writing furiously, he pursed his lips and finally said nothing.

The guests in the first row of Lecture Hall 3 are also discussing this issue.

Professor Richard Cruz of Oxford is sitting on the right side of the first row, and to his left is the famous last year's Fields Medal winner Peter Schulz!

Professor Cruz, who was staring at the whiteboard and holding the pen tightly, finished reading Xiao Ran's first whiteboard and turned to ask Peter Schultz, who was verifying Xiao Ran's calculations with his notebook.

"Mr. Schultz, what do you think?"

Peter Schulz stared at the whiteboard he was writing on, without moving his eyes. He just nodded slightly and said: "At present, there are no omissions found in the first version of the calculation. Using partial differential equations to solve Kratz's conjecture is also a problem. Interesting idea,

However, since the birth of Kratz's conjecture, it is not that no one has thought of using differential equations, but they all encountered the same trouble.

That is that they generally only expect to establish "time-local" results that control the evolution of time n for which Col(N) is only as large as a small multiple of clogN number logN.

However, for Col(N) to fall all the way down to f(N) a result would need to be more like almost "global time", where the evolution is controlled for such a long time that the orbit almost reaches the bounded state N =O(1)”

"If he can't find a way to solve this problem, then the entire argument is useless."

After hearing this, Professor Cruz read the first whiteboard again and said thoughtfully: "So do you think he can find this method?"

Peter Schulz showed a noncommittal smile: "Who knows?"

As last year's Fields Medal winner, Peter Schulz is the new generation's top math expert. When a genius of this level reaches academic conferences and involves mathematics, he is naturally the most authoritative figure.

Peter Schulz's evaluation was told to others by people nearby.

Soon, the whole venue knew about it.

Kong Jiyuan and others naturally knew Peter Schultz's evaluation. They looked at Xiao Ran on the podium with complicated expressions for a moment, not knowing what they were thinking.
Time passed by minute by minute.

Soon, there were still a few minutes left in the originally scheduled 45-minute academic report time, but Xiao Ran still didn't seem to stop. As a staff member who maintained order and controlled the process, he prepared to step forward as a routine reminder.

However, before he could step forward to remind him, he was stopped by members of the International Joint Committee on Mathematics.

For this genius who dared to challenge world-class mathematical conjectures in public in academic reports, regardless of whether he could successfully prove Kratz's conjecture, this was a moment worth remembering.

The people on the committee naturally took the time to adjust the meeting process for him. He was a genius, so some leniency was normal.

What's more, they also want to know whether this 20-year-old boy is really confident or arrogant.

To be a huge joke or to witness a great moment?

They are also looking forward to it.

On the stage, the fourth whiteboard was already full. Looking at the fifth whiteboard dragged by the staff, Xiao Ran slowly let out the turbid air in his chest.

Facing the four whiteboards that were already filled with writing, the corner of his mouth raised an arc.

"The overall situation is set!"

Facing the brand new whiteboard, he raised his right hand again and slowly but firmly wrote the next line of calculations.

【…】

【…】

[Therefore, starting from any positive integer and going through a finite number of function C iterations, you will eventually get the natural number 1]

As the last line of calculations was written down, Xiao then took two steps back and finally looked at the five whiteboards lined up in front of him.

Then he turned around, turned his back to the perfect answer sheet he had handed in, and faced the audience who were waiting with bated breath under the podium.

He said softly: "It took everyone a little time, my proof is over!"

The momentum in the lecture hall condensed, and the hustle and bustle disappeared, leaving only a dead silence that could be heard by a pin drop!
(End of this chapter)

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