The report meeting began, but there was a small accident at the scene.

Because, Professor Enoch, the protagonist of this presentation, seems to be absent.

The atmosphere was awkward.

To be honest, Lu Zhou was also a little stunned by this accident, originally he had a face-to-face chat with Professor Enoch, but what about people?

Lart was sweating profusely and came to the stage to explain: "Professor Enoch didn't arrive in time because of some personal matters, and I'm in contact with him here......"

"Although notarization is a very serious topic, our time is also precious," said a dark-skinned man who seemed to be of good status in the front row of the room, in a voice with a hint of dissatisfaction. ”

To be honest, the black brothers in North America don't like their compatriots in their hometown in Africa very much.

But for the sake of their own interests, they must also take it seriously.

Ralt sweated profusely on his forehead, but in his heart he cursed Enoch's uncompetitive guy a dozen times.

It was time to start the speech, and I had to run out to eat some burger, but the guy took ten dollars and ate it for almost two hours and didn't come back.

He swore that this would be the last time he would deal with a native Nigerian, a group that had no contract spirit at all.

At this moment, an unexpected voice came from the side.

"Since Professor Enoch has some business, in order not to delay everyone's time, I'd better come first."

The main reason is that Lu Zhou doesn't want to waste time and continue to wait, so let's end this farce quickly.

Lart was stunned.

He didn't expect that it was this guy who helped him out of the siege.

But......

Is this guy really going to solve the siege for himself?

When he first thought about it, it was too late for him to stop it.

Because Lu Zhou has already stepped onto the podium, and the people in the audience obviously agree with this proposal.

Lart stepped aside with great amusement, for he knew that if he stood up at this time, he would be at a disadvantage.

Standing on the podium, Lu Zhoudao didn't think too much about other issues.

For him, the debriefing is a familiar thing.

I just didn't expect that his first class in Princeton was not in the math department building, but in the Princeton Hotel next door.

Thinking of this, Lu Zhou shook his head with a smile.

Anyway, it's time to practice.

In response to the eyes of the audience, he cleared his throat and spoke slowly.

"From your eyes, I see distrust."

Although no one in the audience spoke, many people were looking at their watches or looking left and right......

But this is normal, and Lu Zhou had expected this to be the case.

After a pause, he raised his voice slightly and continued.

"Because you are standing before you a Princeton-labeled elite, and you are the least trusting of the elite, whether it is their character or education, and you are more eager to hear the voices that are ignored. So, I bet that in a few months, probably most of you will vote for a fat man named Tranp, because he is the only smart person who tries to put his voice in your shoes...... Of course, that's not what I want to say today. ”

"Before you start your speech, please remember my nationality, I am a Chinese scholar."

"Since you're so politically correct, I want to ask, are you ignoring my voice because of a white journalist's one-sided statement when you listen to the Washington Times's one-sided statement?"

Lu Zhou's voice was not loud, but it was loud.

The people sitting in the audience were all stunned and speechless.

It seems like......

Is this really the case?

At this moment, no one looked at the watch anymore, but subconsciously looked at the podium.

Many people who did not plan to listen to this report were also pulled back to the scene.

The corners of Lu Zhou's mouth hooked up a faint smile.

His purpose has been hit.

Ralt's expression was gloomy and he kept calling, but the other end of the phone was always busy.

"What is this doing?"

With a scolding word, he slipped his phone back into his pocket and glanced at the stage.

Although he wanted to go up and get this guy off the stage, he couldn't.

After all, he was the one who invited him to stand here.

And now, here he comes.

Looking at the audience, Lu Zhou continued.

"I'm probably not going to use any esoteric mathematical notation today, and I'm not going to talk about anything that's too difficult to understand...... Of course, there may be one or two, so please don't go outside. After all, there are some things that can be described in plain language, but there are some things that I can't do at my level for the time being. ”

He does not have the level of Hawking to explain complex propositions in plain language.

But there are some common sense things that he can still talk about.

Confirming that every pair of eyes in the audience was looking at him, Lu Zhou turned around and wrote two lines of calculations on the blackboard behind him.

[If the Riemann hypothesis is not used, then π(x)=Li(x)+O(xe^{-1/15√lnx})]

[If the Riemann conjecture is true, then π(x)=Li(x)+O(√xlnx)]

Turning around, Lu Zhou looked at the audience and smiled.

"Mathematics is a very magical thing, and the Riemann conjecture is a great thing. While you may not know what I've written, I can tell you unambiguously that the first line of formula is the basis of number theory, the so-called prime number theorem. In the second line, Koch obtained a more accurate formula for the distribution of prime numbers based on the Riemann hypothesis in 1901, which has been used for a century, although it is not necessarily written in textbooks. ”

"If I were asked to write more than 10 similar examples, there would be too many."

"As for writing these two formulas, I just want to popularize some common sense things."

That is, for a conjecture with a high probability of validity, the common practice in mathematics is to use it first. How to use it? At the beginning of the paper, it is assumed that the Riemann hypothesis is true, and then the balabala ......"

"As for why I suddenly said this, it was mainly in response to Professor Enoch's paper. In his paper, he put forward a rather 'novel' and interesting point of view, under the condition that the Riemann conjecture is true, under the prime number distribution system built around the ζ function, the Goldbach conjecture holds, or is it a true proposition? ”

Speaking of this, Lu Zhou paused for a moment, smiled and continued.

"The reason why his argument is 'new' is because up to 2016 has not been considered for a century, and in fact Hardy and Littlewood proved in the 20s that the weak Goldbach hypothesis holds under the assumption that the generalized Riemann hypothesis is true."

"But pay attention! I'm talking about the generalized Riemann conjecture, commonly known as GRH, and the abbreviated Riemann conjecture, which is abbreviated as RH, which are completely different things. ”

The people in the audience looked at each other, obviously not understanding the meaning.

In that case, doesn't it mean that the generalized Riemann hypothesis can prove the weak Goldbach conjecture?

Then, divergent thinking, deleting one word each, the Riemann conjecture proves Goldbach's conjecture...... This is not the case.

As for why, in layman's terms, this is probably similar to using Newton's theorem of motion to calculate the mass of an object at the speed of light, and anyone who knows a little bit knows how funny this is.

Speaking of this, Lu Zhou smiled.

"If you want to talk about the difference between GRH and RH, it is really easy to confuse just looking at Wikipedia, and this is really difficult for many civil subjects, so I still have to return to textbooks or papers. In layman's terms, GRH is the change from the Riemann ζ function to the more extensive Dirichlet L-function. ”

"There is nothing to say about conceptual problems, and if we have to talk about 'systems', there is only the Dirichlet L function, which can barely match the weak Goldbach conjecture, and even prove the Goldbach conjecture from the perspective of probability...... But the former, maybe you can't understand the joke, is indeed something that can't be beaten by eight poles, and anyone who knows anything about number theory will know it. ”

"Even if it's just a little bit about the history of number theory."

After a pause, Lu Zhou slowed down his tone a little and continued slowly.

"It's interesting to note that the '20s were the closest Goldbach conjecture came to the GRH, but it was also the only one. Because in less than 20 years, or more precisely in 1937, Vinogradov and Estermann improved the circle method, proving that the weak Goldbach conjecture holds without resorting to the generalized Riemann conjecture under the condition of 'sufficiently large'. ”

Then in 2012, Tao Zhexuan, who "knows a little bit of everything", proved that "odd numbers can be expressed as the sum of up to five prime numbers".

After only a year, Helfgot completely solved the "weak Goldbach conjecture" and reduced this large enough to a calculable number.

And this is the result of completely detaching from GRH, let alone any RH.

In fact, it is not difficult to find that in many cases, the birth of a theorem is first established by mathematician A based on GRH or RH, and a beautiful conclusion is reached1, which attracts everyone's interest.

Then mathematician B comes out and tries to prove that conclusion 1 can be established without the help of GRH. If this is not possible, mathematician C will consider proving a conclusion that is weaker than conclusion 1, and will hold it alone without assuming that RH is true.

When conclusions 1, 2, 3 ...... After n came out, everyone looked at it, huh? The tools invented and the theories established have been able to prove RH, so the number of people challenging this proposition has begun to increase, and the Clay Institute will probably exchange the reward for RH for GRH.

Yes, abstracted history is full of routines.

But it is also in this cycle that civilization is able to move forward.

Could someone have reversed the car and reconnected with something that had been disconnected from GRH?

emmm……

It's fun to repeat the work of the past, but what's the point? If a student does this, he or she will probably be looked at with approval by the professor, which is worth encouraging. But if a professor or scholar does this, he will probably be looked at with caring eyes by his peers.

"The Riemann conjecture is a very important thing, and perhaps in the future the Clay Institute will give Dr. Enoch the answer he expects, but it has nothing to do with me. I have explained the relationship between the Riemann conjecture and the Goldbach conjecture in layman's language only. ”

Lu Zhou smiled and continued: "If this is not popular enough, I can say it more popularly. ”

"The primes in the Riemann ζ function are used for multiplication, while the prime numbers in Goldbach's conjecture are used for addition!"

This statement is not accurate, but it must be graphic enough.

The audience smiled.

In this way, it is indeed much easier to understand.

Speaking of this, Lu Zhou paused for a moment and continued with a smile: "As for why the Goldbach conjecture is not as important as the Riemann conjecture, because for most people, prime numbers are used for multiplication!" At the same time, these two propositions are not equivalent, or even not in the same 'system' at all. Even if you don't understand the difference between RH and GRH, you should know exactly what Vinogradov did in proving the three-prime theorem. ”

"And this is what you want."

The audience was silent.

Looking at those persuasive eyes, Lu Zhou knew that it was almost time to start wrapping up, so he made a summary of his report in a eloquent voice.

"There are some conceptual things that cannot be bypassed by a system. The whole of mathematics is shrouded in the 'system' of Piano's axioms, but not all problems are as obvious as Piano's axioms. Especially when you really understand it, you will find that it is obviously '1+1', but '1+1' and '1+1=2' are actually completely different things. Obviously, they are all 'prime' problems, and even involve "distribution", but the two can't be matched. ”

"As for myself, it's not anything great. It was only on the shoulders of countless giants that I saw the scenery now. Not to mention Mr. Chen's contribution to the Great Sieve Method, I also benefited greatly from the discussions I had with Professor Tao at Berkeley, and Gelfgot's paper opened the door to a new world for me. But their work cannot be summed up in just 3 hours, so I am also grateful to them from the bottom of my heart. ”

"Although it only took two months to complete this paper, the work began a long, long time ago."

Although it is not a profound thing, he tries to use as much plain language as possible to tell everything he knows.

Although, Mr. Ralter probably doesn't like to hear these words.

Lu Zhou didn't guess wrong.

He had even noticed the burning eyes of Ralt, who was standing next to the podium, his clenched fists white and blue, and his angry expression.

But, that doesn't change anything.

The situation in the United States is different from that in China, and the root of the populist problem lies in the fact that the White House and Wall Street never say something that is too difficult for ordinary people in a voice that they can understand.

As for the solution to this problem, it is actually very simple.

Just talk about people.

If he had written more than three lines on the whiteboard today, the New York Times and other more influential media outlets would have been painting in a different style tomorrow.

Now, though, he feels like he's convinced at least some of them.

Sometimes Lu Zhou found that he was not ignorant of politics, and he could peel off the cocoons of what experimentalism and scientific thinking had taught him, not to mention people's hearts, and even the judgment logic that the system did not explain.

Maybe when he reaches level ten, there will be no secrets in front of him.

He believed that he would see that day.

Lu Zhou sighed in his heart and gently put down the chalk.

The moment he put down the chalk.

The audience was already applauding......

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