Chapter 216 It's Not Easy For Geniuses

Lu Zhou's harvest these days can be said to be quite large.

Not only at the academic level, but also in the sense of connections in the academic circle.

It was a strange feeling that many people he had only met in newspapers, news, and even textbooks stood in front of him.

For example, Heim Blech, an academician of the French Academy of Sciences and a foreign academician of the American and Chinese Academy of Sciences. The "Functional Analysis" that Lu Zhou read was the work he compiled. Lu Zhou was deeply impressed by the description and explanation of Sobolev's space.

This old gentleman from France is very funny and enthusiastic, especially when he heard that Lu Zhou had read his works, he became even more enthusiastic about Lu Zhou. He has repeatedly said that if he has the opportunity to come to France, he can Find him at the Ecole Normale Supérieure de Paris.

He had an interesting collection of books, including Euler's manuscripts.

In addition to this enthusiastic and cheerful French old man, Lu Zhou also met Tao Zhexuan, a well-known genius in the Chinese mathematics circle.

Contrary to my impression, this mathematical genius who often "points out the world" on blogs is unexpectedly shy and laughable in reality.

In addition, he looks younger than Lu Zhou imagined, and he can't tell at all that this is actually a post-75th generation, and he is already 40 this year.

Because he was born in Australia, he can't speak Mandarin. Although he can speak Cantonese, it's sad that Lu Zhou can't understand. The two can only communicate in English unfortunately.

On the fourth day of the academic conference, Tao Zhexuan invited Lu Zhou to visit his office after the one-hour report meeting.

At the beginning, the two only chatted about domestic and foreign affairs, but soon the topic turned to academic issues.

After exchanging a few words, Lu Zhou couldn't help but sigh in his heart.

I have to admit that this guy is indeed a genius in the field of mathematics! His research fields cover all fields of mathematics. He may not be good at many things, but it is hard to find something he is not good at.

And just this past September, he cracked the 80-year-old Erdös difference. This is a classic problem in the field of number theory and discrete analytical mathematics, and outside his field of study.

It's just because it is not as important as Polignac's conjecture, so the limelight was overshadowed by Lu Zhou, a rising star.

"Are you studying Goldbach's conjecture?"

Lu Zhou asked unexpectedly: "Yes, you also studied it?"

"I tried it, just at the beginning of this year, but I quickly found that it was not something I could solve. I'm still better at research in the two directions of partial differential equations and harmonic analysis," Terence Tao smiled shyly, generously Confidently admitted his own shortcomings, and continued, "At that time, I read your paper in the Annals of Mathematics, and got a lot of inspiration from the supplementary topological principles of the sieve theory. It must be possible to prove this century-old problem on the basis of Chen's theorem...the result is regrettable."

"Is the road of sieving still unworkable?" Lu Zhou asked with a frown.

The sieve theory supplemented by topology was originally one of his alternatives. Terence Tao's statement is undoubtedly bad news for him.

"It doesn't work...or I didn't make it through," Tao Terence shook his head, picked up a ballpoint pen and wrote down a few lines of calculations on paper.

[∑|S(αm)|≤∑|αn|, where αn takes any number]

[S(α)=∑ane(αn), e(x)=e^(2πxi).M, N∈Z, a1...an is a set of real numbers with a well-distributed modulo 1...]

【…】

Staring at the calculation on the paper, Lu Zhou touched his chin, frowned, and fell into deep thought.

Tao Zhexuan stopped writing, smiled and said, "I've been playing tricks, and you invented this method."

"No, it was Professor Selberg who introduced topology theory into the big sieve method. I just did a little work on his basis, and you obviously made a lot of improvements." Lu Zhou smiled , continued to look at the expression on the paper, thoughtfully, "Since am is a well-distributed distribution, why not regard R^(-1)∑|S(αm)| as ∫|S(α) Riemann sum of |dα?"

Tao Zhexuan's eyes lit up slightly: "And then?"

"The value R=1, we can get from the Cauchy-Schwartz inequality..." Lu Zhou picked up a pen and wrote out his thoughts on paper because he couldn't explain clearly.

[|S(α1)|≤N∑|an|]

Tao Zhexuan frowned slightly, and said thoughtfully: "Your idea is very interesting... We need to find an N(δ) value, and we can find it."

Lu Zhou touched his chin and nodded, "Yes, it won't be much larger than N+δ^(-1), but the trouble lies in N."

The silence lasted for a while, and the two raised their heads at the same time, looked at each other and smiled.

The smiles coincided with a bit of bitterness.

Sure enough, it still doesn't work!

Throwing the ballpoint pen on the table, Tao Zhexuan sighed and said with emotion.

"Goldbach's conjecture is indeed too difficult, and it may take another ten or even twenty years. Maybe you can try the next method. To be honest, the road of big screening may really not work."

Lu Zhou shook his head: "I'll take the time to study it, but I haven't completely given up on hair screening, maybe it still has potential that we haven't noticed."

"Why don't you come to Berkeley to teach? The environment here is not bad. We can study this topic together...if you don't think I'm stupid." Tao Zhexuan smiled shyly.

Lu Zhou: "..."

It’s ok, I think I’m too stupid with an IQ of 230, what do you do to those ordinary people whose IQ fluctuates around 100?

For the first time, he realized that talking to someone who is too modest can be a headache.

Lu Zhou coughed lightly and said, "I haven't graduated yet, and I will go to Princeton to study at the beginning of next year."

"You haven't graduated yet," Tao Zhexuan looked at Lu Zhou in surprise, "Well... Huaguo's university is really strict."

Lu Zhou: "I just got my master's degree at the beginning of this year."

"Oh, that's understandable," Tao Zhexuan smiled understandingly, "It was the same when I was studying for a master's degree. I could graduate in half a year, and my supervisor insisted on keeping me for a year before letting me go."

Speaking, Tao Zhexuan wrote down his email address on the previous draft paper, handed it to Lu Zhou, and said with a smile: "I will contact you by email in the future. If there is any new discovery, I will talk to you again."

"OK."

Lu Zhou smiled and nodded, put away the draft paper, left his email address on another piece of paper, and said goodbye to Tao Zhexuan.

When walking in the direction of the hotel, Lu Zhou kept thinking about the problem just now and couldn't figure it out.

Thinking about it, I became hungry.

He took out his mobile phone and checked the time. Seeing that it was still a while before dinner time, he turned and walked into a rib shop on the street.

After ordering a rib set meal, Lu Zhou took out the $19 change and put it on the counter, and found a seat to sit down.

It is said that the price of meat in the United States is cheap, but he always feels that it is not much cheaper.

A rib is 19 US dollars, if converted into RMB, it will cost 110 or more.

Just as he was thinking this way, a somewhat thin waiter, carrying a plate as wide as a washbasin, placed it on his table with a little difficulty.

Seeing what was on the plate, Lu Zhou's eyebrows twitched violently.

Good guy, he thought the ribs here were the kind of ribs he had seen in western restaurants, but unexpectedly, there was a whole ribs on the plate! If you are making soup, it is enough to stew several large pots!

Plus a pound of baked potato with butter and sour cream, and a bowl of Mexican red bean stew and presumably a creamy mystery soup...

Looking at it this way, the price of this meat is indeed quite cheap.

However, this is obviously not a portion that can be eaten by one person...

He finally knows why there are so many fat people in the United States.

"Sir, are you satisfied with the food?"

Hearing someone asking, Lu Zhou suddenly remembered that he didn't seem to have given a tip, so he took out two dollars in change from his handbag.

But at this moment, he suddenly discovered that this waiter...

Seems familiar?

Lu Zhou handed the tip to her, and asked doubtfully, "Are you working here?"

"Yeah." Vera nodded embarrassedly.

"No scholarship?"

Lu Zhou used to work part-time for tuition and living expenses, so he didn't think there was anything wrong with it.

But to his surprise, he remembered that it is easy to apply for scholarships in the United States, not to mention this kind of IMO gold medal recommendation player. As long as the hobbies are not too wide, it is not difficult to finish college without spending a penny.

Wei La obviously didn't expect to meet Lu Zhou here, she smiled embarrassedly, and whispered: "There are scholarships..."

If it is to save money for travel, or to work and experience life, I will definitely say it openly.

Seeing that she didn't continue, Lu Zhou could probably guess that it was probably for similar reasons to his own at the beginning, so he diverted from this heavy topic.

"Are you Russian?"

Vera shook her head with a subtle expression.

Seeing her slightly embarrassed expression, Lu Zhou always felt...

I seem to have asked a question that should not be asked?

Just then, someone in the back kitchen called her name.

After hearing her name, Vera quickly turned her head to answer, bowed softly and said sorry to Lu Zhou, and ran back in a hurry.