From university lecturer to chief academician.

Chapter 84 The shocking mathematical argument at the computer conference!
Lecture Hall No. [-] was crowded with people, but it was silent.

Everyone stared at the young figure on the report table who was constantly writing content to the whiteboard. He seemed to write one content after another on the whiteboard without even thinking about it.

He is really young.

Young enough to be younger than the normal participants in the venue, including those doctoral students who were brought over, most of them were older than him.

At this moment, he is the focus of the audience.

Everyone kept looking over, and some people were whispering and talking, and the topic was always inseparable from the figure on the stage, "What is he doing? What is he writing? It seems to be making an argument."

"It seems to be a purely mathematical argument? He just said 'very inspired'. Could it be that he wants to make a proof on the spot?"

"What is the proof? I don't understand it."

The first row of specially invited judges were also discussing this issue.

Pete Schultz is sitting on the right side of the first row. On his left is the famous Turing Award winner Yao Zhiqi. He founded the famous "Yao Class" at Shuimu University and has worked for more than ten years. .

Now that he is old, he still shines in the field of education.

This time I came to the computer conference because I knew that there was a brand new algorithm, and I was very interested in it. He followed the train of thought and heard it to the end, and he still feels a little tired now.

He still turned his head and asked Pete Schultz, "Mr. Schultz, there should be no problem with Professor Ma's question from Donggang University just now?"

Yao Zhiqi was a little uncertain. From his personal experience, he felt that Wang Hao's algorithm proof was already perfect, and there should be no situation where "unbounded" could not be proved, but he didn't think of how to prove it for a while.

Sitting next to him is a young Fields winner, in his thirties, at the peak of scientific research, with active inspiration and energy, most of the top research in the world, especially the research that affects the development of science, All in this age group.

Although Wang Hao completed a computer algorithm research, the process logic is mixed with a lot of mathematical concepts. It is not easy to understand complex mathematical logic, and it is easier for top mathematicians to understand.

Pete Schultz stared at the whiteboard he was writing, without moving his eyes, just nodded slightly and said, "He just said that it uses set theory and induction, and the combination of these two methods is easy to prove. "

"Easy?"

Yao Zhiqi pursed his lips vigorously and refused to comment on this. The difficulty of a problem is relative. A problem that is easy for Pete Schultz may be a gap that cannot be crossed in a lifetime for others.

Pete Schultz just said a few words, but he undoubtedly has authority in the venue, and even several Turing Award winners cannot compete.

One is because Wang Hao is doing theoretical algorithm demonstrations, and mathematics is the foundation of everything.

The second is also because of age.

The vast majority of Turing Award winners are awarded by their achievements before 2000 years. This is true of the three Turing Award winners at the venue. The youngest of them is over 65 years old, and the other two are An old man in his seventies.

The thinking ability and energy of people at this age will drop sharply, and they are no longer able to compete with young people, and Pete Schultz is that kind of super genius. Before he got Fields, he was considered the smartest person in the world One of the Fields winners, one of the most anticipated people.

Pete Schultz getting Fields is very interesting.

Before Fields was selected that year, some organizations made bets on the list of candidates, and more than [-]% of the people chose Pete Schultz. It can be said that he won Fields, and there was no suspense.

A genius of this level is naturally the most authoritative person when it comes to mathematics at academic conferences.

Pete Schulz's evaluation of the question was told to others by people close to him.

Soon, the whole venue knew about it.

This news also made Ma Wenjun very disappointed. He felt that he had found a problem in the argument and could not completely overthrow the proof of the algorithm, but it was enough to lower the evaluation and influence of the algorithm by a notch.

But the Fields winner affirmed that there was nothing wrong with the argument.

What else is there to say?

If it wasn't for being curious about what proof Wang Hao was doing, Ma Wenjun would have left the venue without embarrassment.

The reporters at the edge of the venue all heard the news, and they couldn't help but let out a long breath. They definitely hoped to prove that there was no problem.

If Wang Hao's certification report is successfully completed, and a new algorithm that can attract the attention of the world appears, it must be very exciting news.

Wang Hao is still a pure domestic scholar, so the significance of news reports is even greater.

The reporters also began to inquire about what kind of proof Wang Hao was doing. They definitely couldn't understand it at all. They just wanted to understand and evaluate the way of thinking about news.

So, what exactly is Wang Hao proving?

Everyone wants to know this question. There are some people who can understand what is written on the whiteboard, but the number of people who can keep up with the train of thought and understand what to prove is extremely rare.

Wang Hao's writing speed was too fast, he almost didn't even think about it, he just kept writing, even faster than copying the content.

The few Turing Award winners in the first row couldn't keep up with the train of thought.

They could understand what Wang Hao wrote, but their speed of understanding was too slow, and they didn't know what to prove.

Yao Zhiqi only had a vague feeling that it was the content of number theory.

Jeffrey Hinton also looked very confused. He was sitting next to Yao Zhiqi, and to the right was his granddaughter Helen.

He knew that Yao Zhiqi definitely didn't know, so he simply turned his head and asked Helen, "Can you understand the content above?"

"Some don't understand."

Helen answered very bluntly, but she still stared at the whiteboard seriously, her eyes even shining brightly, "But if my guess is not wrong, it should be related to Artin's conjecture."

"Artin's guess?"

This word immediately attracted the attention of others, and after carefully following the whiteboard, they found that it was indeed related to Arting's conjecture.

Many people looked at Helen in surprise. They didn't understand what was going on, but a little girl figured it out.

The little girl said she couldn't keep up with her train of thought, but she must be very good at mathematics.

At this time, Pete Schulz corrected, "He is not trying to prove the Artin conjecture, he is demonstrating the Artin constant."

Someone in the back row was immediately confused, "Isn't it the same thing to prove Artin's constant and prove Artin's conjecture?"

"uncertain."

"If it's just to demonstrate Artin's constant, what if this constant is wrong?"

"It also makes sense..."

Many people were very shocked.

With Pete Schulz's simple explanation, everyone else understands, and it's easier to see the whiteboard to understand.

At least they knew what Wang Hao was arguing.

However, the vast majority of people can only watch. Their comprehension speed is impossible to keep up with Wang Hao's writing speed. It is simply impossible to follow the train of thought to understand.

Perhaps also because it is a computer conference, the research and development fields of many scholars are computer applications, and the research of pure mathematics and analytic number theory are two unrelated fields at all.

The same goes for the jury members on the left and right.

They also watched Wang Hao's proof writing process carefully. Even if they knew that Wang Hao was discussing Artin's constant, it would be impossible to follow the train of thought to understand it.

Fortunately, there are a few big mathematicians on the scene. Even if you can't keep up with the train of thought, you can still understand the proof slowly.

The only person on the scene who could keep up with the speed of writing was Pete Schultz. He stared at the lines on the whiteboard very seriously, and his eyes did not move from the very beginning to the present.

Then, the more he looked at it, the more surprised he became, the expression was already written on his face.

Wang Hao completed the proof in one go, and changed three whiteboards in the middle. The four whiteboards were listed by the staff on the reporting platform, arranged in a row from left to right.

He finally completed the last step of proof, and then grabbed the pen with his hand, with a smile that was born on his face.

Wang Hao turned his back to a lot of people and reviewed the content from beginning to end. He just stood and watched quietly, and no one else came to disturb him.

Then, he walked to the edge of the reporting platform, and stretched out his hand to show everyone the four whiteboards filled with proofs, "This is my latest research, and the name should be "The Boundedness of Artin's Constant Existence."

"These can prove the existence of Artin's constant. At the same time, the value range of the constant is between 0.37 and 0.38."

"I think that's enough!"

After Wang Hao finished speaking, he faced the crowd with a smile, but the venue was quiet, and everyone was digesting the content just now.

The first one to applaud was Pete Schultz, who said a few words, "Very shocking, very exciting, and very perfect!"

Then he clapped his hands hard.

It was a heartfelt applause, and everyone else around could see it, none of them understood the whole thing yet, but with Pete Schulz's affirmation, they all clapped along.

The important thing is not to be able to understand, but to be proven correct.

"Clap clap~"

"Clap clap~"

The entire venue was filled with applause, and even outside the venue, many people applauded. They were not able to enter the venue, but it did not prevent them from knowing what happened in the venue.

The applause in the arena lasted for a long time. After it weakened a little, Wang Hao raised his hand and pressed down, and said, "All the proofs are here, and there is nothing to explain."

"If anyone is interested, you can go back and understand slowly."

"in addition……"

Wang Hao walked to the lower part of the third whiteboard, and drew a large circle around the proofs with a black pen, "About Professor Ma Wenjun's question just now, this paragraph should be the most powerful proof."

"Shh!"

Everyone looked at Ma Wenjun's position.

There was a slight smile on Ma Wenjun's face, as if there was a kind of ease when the question was answered, but in fact his mood was already in a mess.

He knew that Wang Hao had succeeded.

Not only did Wang Hao successfully prove it, but he also stepped on him severely by the way.

When the news reports are sent out, his name will also be reported, but he is the background character who is stepped on to set off Wang Hao's excellence.

……

The morning meeting was seriously timed out, and it didn't really end until [-]:[-], but no one complained about it, but talked about Wang Hao's proof excitedly.

Those who were not there were extremely upset, and they all felt that they had missed an event.

"Artin's conjecture" and "Artin's constant" have also become the focus of scholars.

"Do you know Artin's conjecture? It's definitely not as good as the top ten conjectures, but it's also a very powerful thing, directly related to the distribution of prime numbers."

"I actually witnessed the proof of Artin's constant with my own eyes. Fortunately, I applied to attend the meeting."

"It was really exciting just now. Wang Hao is definitely that kind of super genius. He wrote all the proofs in one go. Now there are still many people taking pictures on the podium."

"Looking at the meaning of the organizers of the meeting, it seems that they want to protect a few whiteboards, and even treasure them as treasures..."

"That's very meaningful stuff!"

In the process of constant discussion, many people are also popularizing science. Artin’s conjecture is not a well-known mathematical conjecture. Most scholars only understand the content, and few people do research specifically.

Artin's conjecture is a conjecture in the field of number theory, which is related to the step-by-step law of prime numbers. The content is that any integer that is neither a square number nor -1 is a primitive root of infinite prime numbers.

In this way, there is the 'Artin's constant', and the definition of the Artin's constant is as follows -
If this integer is not a power number, and the remainder of its non-square factor part divided by 4 is not 1, then the density of these prime numbers in the prime number set is 0.3739558136.

This is Artin's constant.

Artin's conjecture is an unproven mathematical conjecture. Artin's constant, which is related to the distribution of prime numbers, is naturally an unproven value, and it is not even certain whether it exists.

Wang Hao proved the existence of the "prime root law", and at the same time, proved that the range of constants is between 0.37 and 0.38.

Whether this constant is '0.3739558136' is uncertain, but the range of '0.37~0.38' is also delineated.

Similar to the meaning of the proof, it is like weakening the twin prime number conjecture. The prime number with an interval of '2' is called the twin prime number conjecture. To prove that there are infinitely many twin prime numbers, it can be transformed into an argument that "there are infinitely many prime numbers with an interval of N". .

When N=2, the twin prime conjecture is naturally established.

It's similar now.

Wang Hao proved that the range of the constant is between 0.37 and 0.38. As long as the range is continuously reduced, it may gradually approach '0.3739558136'. If it is found that '0.3739558136' is not within the range, Artin's conjecture is naturally wrong.

Other mathematicians can then add other arguments to keep narrowing the argument.

The follow-up work is not important to Wang Hao. With his method, even if he proves Arting's conjecture, he can get the most merit.

That's why he said 'enough is enough'.

(End of this chapter)