248 Princeton's First Class (4/4)

Chapter 248 Princeton's first class (44)

The report meeting started, but there was a little accident at the scene.

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

The atmosphere was once very awkward.

To be honest, Lu Zhou was also stunned by this accident. He had talked with Professor Enoch face to face, but what happened to him?

Lart was sweating profusely, and he came to the stage to explain: "Professor Enoch did not arrive in time due to some personal matters, and I am in contact with him..."

"Although notarization is a very serious topic, our time is also precious," a dark-skinned man with a high status said in a dissatisfied voice sitting in the front row of the venue, "I Now I even doubt whether Professor Enoch really takes this issue seriously?"

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

But out of consideration of their own interests, they must also show an attitude of attaching importance to it.

Sweat broke out on Laert's forehead, but he cursed Enoch, that unbelievable guy, a dozen times in his heart.

It was about to start a speech, and I insisted on running out to eat some burger, but the guy took ten dollars and ate it and hadn't come back for almost two hours.

He swears that this is the last time he will deal with native Nigerians, a group that has no sense of contract.

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

"Since Professor Enoch has something to do, in order not to waste everyone's time, let me come first."

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

Lalter froze.

He didn't expect that it was this guy who rescued him.

but……

This guy, is he really going to save himself?

Just when he thought about it, he had no time to stop it.

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

Lalter stepped aside tactfully, because he knew that if he stood up at this time, he would be at a disadvantage.

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

For him, such things as reports are already familiar.

Unexpectedly, his first class in Princeton was not in the mathematics department building, but in the Princeton Hotel next door.

Thinking of this, Lu Zhou smiled and shook his head.

Forget it, it's time to practice your hands.

Responding to the gazes from the audience, he cleared his throat and spoke slowly.

"I see distrust in your eyes."

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

But this is normal, and Lu Zhou had expected this to happen.

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

"Because standing in front of you is an elite with the label of Princeton, and you are the least trusting of the elite, whether it is their character or academic qualifications, and what you are more eager to hear are those voices that have been ignored. So, I dare Bet, in a few months, most of you will probably vote for a fat guy named Trump because he's the only smart guy trying to put your voice in your shoes... Of course, that's not what I want to talk about today."

"Before the speech begins, please remember my nationality, I am a Chinese scholar."

"Since you flaunt political correctness so much, I would like to ask, when you listened to the one-sided words of the "Washington Times", did you ignore my voice because of the one-sided words of a white reporter?"

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

The people sitting under the stage were all stunned, speechless.

like……

It is indeed 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 corner of Lu Zhou's mouth evoked a faint smile.

His purpose has been achieved.

Laerte had a gloomy expression and kept calling, but there was always a busy signal on the other end of the phone.

"What is this nigger doing?"

After cursing, he stuffed his phone back into his pocket and glanced at the stage.

Although he wanted ten thousand times to go up and drive this guy off the stage, but he couldn't do it.

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

And now, here he is.

Looking at the audience in the audience, Lu Zhou continued.

"Today I probably won't use any very esoteric mathematical symbols, and I won't talk about some things that are too difficult to understand...Of course, there may be one or two, so please don't be offended. After all, some things can be expressed in ordinary language Described, but some things are temporarily impossible to do at my level."

He is not at Hawking's level and cannot explain complex propositions in plain language.

But he can still talk about some common sense things.

After confirming that every pair of eyes in the audience was looking at him, Lu Zhou turned around and wrote down 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)]

Looking back, Lu Zhou looked at the audience and smiled.

"Mathematics is a very amazing thing, and the Riemann Hypothesis is also a great thing. Although you may not know what I wrote, I can tell you clearly that the first line of formula is the basis of number theory, which is the so-called prime number theorem The second line is a more accurate prime number distribution formula obtained by H. von Koch in 1901 based on the Riemann conjecture. Although this formula may not be written in textbooks, it has been been used for a century."

"If I write on the blackboard with similar examples, I can write more than ten, because there are too many."

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

"That is, for a conjecture with a high probability of being true, the general practice in the mathematics world is to use it first. How to use it? At the beginning of the paper, first assume that the Riemann conjecture is true, and then start blah blah..."

"As for why I suddenly mentioned this, it was mainly to answer Professor Enoch's paper. He put forward a quite 'novel' and very interesting point of view in the paper. Under the condition that the Riemann conjecture is established, the ζ function is built around Under the prime number distribution system, Goldbach's conjecture holds true, or is it a true proposition?"

Having said that, Lu Zhou paused for a moment, smiled and continued.

"The reason why his point of view is 'novel' is that as of 2016, it is not that this situation has not been considered in the past century. In fact, Hardy and Littlewood proved it in the 1920s. The weak Goldbach conjecture is established under the condition that the Riemann conjecture is established."

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

The people in the audience looked at each other in blank dismay, obviously not understanding the meaning of it.

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

Then think about it divergently, delete a word each, and Riemann's conjecture can prove Goldbach's conjecture...in fact, it is not the case.

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

Having said that, Lu Zhou smiled.

"If you want to talk about the difference between GRH and RH, it is really easy to confuse if you just look at Wikipedia, and this has really stumped many civil subjects, so you still have to go back to textbooks or papers. In layman's terms, GRH is to discuss the object from The Riemann zeta function becomes the more general Dirichlet L function."

"There is nothing to say about conceptual issues. If we have to talk about 'system', there is only the Dirichlet L function, which can barely match the weak Goldbach's conjecture, and can even prove Goldbach's conjecture from the perspective of probability...but The former, maybe you don’t understand the point of the joke, is indeed something that is far from the point, and anyone who knows something about number theory will know.”

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

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

"It is worth pondering that the 1920s was the closest time Goldbach conjectured to GRH, but it was also the only time. Because less than 20 years ago, or to be precise, in 1937, Vinogradov and Este Mann improved the round method, and proved that the weak Goldbach conjecture is established under the condition of 'sufficiently large' without resorting to the generalized Riemann conjecture."

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

Only one year later, Helfgott completely solved the "weak Goldbach conjecture", reducing this sufficient size to a number that can be calculated.

And this is the result of completely breaking away from GRH, let alone RH.

In fact, it is not difficult to find out by studying the "History of Number Theory" that in many cases, the birth of a theorem is first established by mathematician A based on GRH or RH, and a beautiful conclusion 1 is drawn, which attracts everyone's interest.

Then mathematician B came out and tried to prove that conclusion 1 can be established without GRH. If it cannot be proven, mathematician C will consider proving a weaker conclusion than conclusion 1, which is established independently without assuming that RH is established.

When the conclusions 1, 2, 3...n came out, everyone took a look, huh? The invented tools and established theories can already prove RH, so more and more people challenge this proposition, and the Clay Institute will probably change the reward offered by RH to GRH.

Yes, abstracted history is full of routines.

But it is also in this cycle that civilization advances.

Will someone reverse the car and reconnect with something that has been separated from GRH?

emmm...

It is interesting to repeat the work of the predecessors, but is there any point in doing so? If a student did this, he would probably be looked at with approval by the professor, which is worthy of encouragement. 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. Maybe the Clay Institute will give Dr. Enoch an answer he expects in the future, but this has nothing to do with me. I only expounded the Riemann conjecture and Goethe's conjecture in plain language. The relationship between Bach's conjectures."

Lu Zhou smiled and continued: "If this is not common enough, I can make it more common."

"The prime numbers in the Riemann zeta function are used for multiplication, and the prime numbers in Goldbach's conjecture are used for addition!"

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

The audience in the audience laughed knowingly.

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

Speaking of this, Lu Zhou paused for a moment, then continued with a smile: "As for why Goldbach's conjecture is not as important as Riemann's conjecture, because for most people, prime numbers are used to multiply! At the same time, these two These propositions are not equivalent, and they are not even in the same 'system'. This is not my one-sided statement. Even if you don't understand the difference between RH and GRH, you should be clear about what Vinogradov did when he proved the three prime number theorem. something."

"And this is what you want."

The audience was silent.

Looking at those persuaded eyes, Lu Zhou knew that it was almost time to finish, so he made a summary for his report in a eloquent voice.

"Some conceptual things cannot be circumvented by a system. The whole mathematics is shrouded in the 'system' of Peano's axioms, but not all problems are as obvious as Peano's axioms. Especially when If you really understand it, you will find that it is '1+1', but '1+1' and '1+1=2' are actually completely different things. They are both 'prime number' problems, and even involve to "distribution", but the two are irreconcilable."

"As for myself, there is absolutely nothing great about me. I just stood on the shoulders of countless giants to see the current landscape. Needless to say, Mr. Chen's contribution to the Great Sieve Method, in Berkeley and Professor Tao’s discussion also benefited me a lot, and Helfgott’s thesis opened the door to a new world for me. They are all heroes of history, although only one name may be remembered by history. But their Work cannot be summed up in just 3 hours, so I also sincerely thank them."

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

Although it is not something advanced, he tried his best to use easy-to-understand language to tell what he knew.

Although, Mr. Laerte probably didn't like to hear these words.

Lu Zhou did not guess wrong.

He had even noticed that Laert, who was standing by the podium, had flaming eyes, clenched fists that were turning blue in white, and an exasperated expression.

However, this doesn't change anything.

The national conditions in the United States are different from those in Huaguo. The root of the populist problem is that the high-ranking White House and Wall Street never say something that is too difficult for ordinary people in a voice they can understand.

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

Just speak human words.

If the formula he wrote on the whiteboard today exceeds three lines, tomorrow's "New York Times" and other more influential media will definitely have a different style of painting.

But now, he felt that he had at least convinced some people.

Sometimes Lu Zhou realizes that he is not completely ignorant of politics. What experimentalism and scientific thinking have taught him, not to mention the human heart, even the judgment logic that the system does not explain, he can peel off the cocoons.

Maybe after he reaches level ten, the system will no longer have any secrets in front of him.

He believes that he will see that day.

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

The moment he put down the chalk.

The audience is already full of applause...

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