Scholar’s Advanced Technological System

The harvest of Lu Zhou in these days can be said to be quite large. .

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

Many people who have seen him in newspapers, news, and even textbooks stand in front of him. This feeling is still very wonderful.

For example, Heimbrecht, academician of the French Academy of Sciences and foreign academicians of the United States and the Chinese Academy of Sciences. The "Functional Analysis" that Lu Zhou saw was the work he compiled. The description and explanation of the Sobrev space made Lu Zhou impressed.

The old gentleman from France was very funny and very enthusiastic. Especially after he heard that Lu Zhou had read his work, he was more enthusiastic about Lu Zhou. He repeatedly said that if he had the opportunity to come to France, he could Go to the Paris High School to find him.

He has a collection of interesting collections, including Euler's manuscripts.

In addition to this warm and cheerful French old man, Lu Zhou also saw the famous talented Tao Zhexuan in the Chinese mathematics field.

Not quite the same as the impression, this math genius who often "points to the mountains" on the blog, in reality, is unexpectedly a jealous, laughing person.

In addition, he seems to be younger than Lu Zhou’s imagination, and he can’t see it. This is actually after the 7th Five-Year Plan. This year is already forty.

Because he was born in Australia, he does not speak Mandarin. Although he can speak Cantonese, it is very difficult for Lu Zhou to understand. The two can only regret communicating in English.

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

The two started talking about domestic and foreign things at the beginning, and soon the topic talked about academic issues.

After a few words of exchange, Lu Zhou could not help but feel in his heart.

I have to admit that in the field of mathematics, this guy is indeed a genius! His field of study is in all areas of mathematics, and he is not necessarily good at many things, but it is difficult for you to find something he does not.

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

Only because there is no Polignac conjecture is important, so the limelight has been overshadowed by the rising star of Lu Zhou.

"You are studying Goldbach's conjecture?"

Lu Zhou’s accident asked: “Yes, have you studied it?”

"I tried it, just at the beginning of this year, but I soon found out that it was not something I could solve. I was still better at studying some of the two directions of partial differential equations and harmonic analysis." Tao Zhexuan was embarrassed to smile, very generous. I acknowledged my shortcomings and continued, "I saw your paper in the mathematics journal at that time, and I was greatly inspired by the addition of the topological principle of the sieve theory. I thought if I improved it, I would say no. Quasi-can prove this century's problem on the basis of Chen's theorem... The result is very regrettable."

"The road of the sieve method still can't get through?" Lu Zhou asked with a frown.

The sieving theory supplemented by topology is originally one of his alternatives. Tao Zhexuan’s statement is undoubtedly bad news for him.

"I can't get through... or I didn't get through," Tao Zhexuan shook his head and picked up the ballpoint pen and handwritten a few lines on the paper.

[∑s(am)≤∑an, where an takes an arbitrary number]

[s(a)=∑ane(an),e(x)=e^(2πxi).m,n∈z,a1...an is a set of modulo 1 well-distributed real numbers...]

[...]

Staring at the calculations on the paper, Lu Zhou touched his chin, his brows locked, and he fell into meditation.

Tao Zhexuan stopped the pen and smiled and said: "I am also a classmate, this method is still invented by you."

"No, it is Professor Zellberg who introduced the topology theory into the big sieve method. I just did a little work on his basis, and you obviously did a lot of improvement." Lu Zhou smiled. Continue to look at the expression on paper, if you think about it, "Since am is a good distribution, why not treat r^(-1)∑s(am) as ∫s(a)da's Riemann with?"

Tao Zhexuan's eyes are slightly brighter: "And then?"

"The value r = 1, we can get by the Cauchy-Schwartz inequality..." It is unclear, Lu Zhou picked up the pen and wrote his own thoughts on paper.

[s(a1)≤n∑an]

Tao Zhexuan’s eyebrows wrinkled slightly, and thoughtfully said: “Your thoughts are very interesting... we need to find an n(δ) value and we can find it.”

Lu Zhou nodded his head and said, "Yes, it will not be much bigger 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 and smiled at each other.

Smile, some bitterness is not the same.

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 really too difficult. Maybe it will take another ten or even twenty years. Maybe you can try the round method. To be honest, the big screen may not work."

Lu Zhou shook his head: "I took the time to study it, but I haven't completely died on the sieve. Maybe it still has potential that we didn't realize."

"Would you like to come to Berkeley to teach, the environment here is not bad, we can study this topic together... If you are not too stupid." Tao Zhexuan smiled slyly.

Lu Zhou: "..."

Yes, 230 iq is too stupid, what do you do for ordinary people whose iq floats above 100?

For the first time, he realized that talking to people who are too modest is also a headache.

Lu Zhou coughed and said: "My Ph.D. has not graduated yet. I will go to Princeton to read Bo early next year."

"You haven't graduated yet," Tao Zhexuan looked at Lu Zhou with amazement. "Well... the university in China is really strict."

Lu Zhou: "I only took a master's degree at the beginning of this year."

"Oh, that's understandable," Tao Zhexuan smiled and understood. "When I was a master, I was able to graduate in half a year, and the tutor had to leave me for a year."

Said, Tao Zhexuan wrote his own mailbox on the previous draft paper, handed it to Lu Zhou, and said with a smile: "I will contact you later, if there are any new discoveries, I will talk to you again."

"Ok."

Lu Zhou nodded with a smile, put away the draft paper, and left his mailbox on another piece of paper, and he and Tao Zhexuan left.

When I walked in the direction of the hotel, Lu Zhou Road had been thinking about the problem just now, and I was puzzled.

Thinking about it, my stomach is hungry.

I took out my mobile phone and looked at the time. I saw that there was a while away from the meal. He turned and walked into a ribbed shop on the street.

After ordering a ribbed package, Lu Zhou took out the $19 change on the counter and found a position to sit down.

They all say that American meat is cheap, and he always feels that it is not much cheaper.

A rib is $19, and if it is converted to rmb, it will have to go up to 110.

Just as he thought about it, a small waiter, carrying a plate full of washbasins, put it on his desk a little hard.

Seeing the things on this plate, Lu Zhou’s eyebrows twitched.

Good guy, he thought that the ribs here were the kind of ribs he had seen in the western restaurant. I didn't expect that there was a whole rib in the plate! If you stew, you can cook a few pots!

Plus a piece of baked potato with a pound of butter and sour cream, and a bowl of Mexican stewed red beans and a mysterious soup with cream added...

At this point, the price of meat is really cheap.

However, this is obviously not a share that one can finish...

He finally knows why the United States is so fat.

"Sir, are you satisfied with the food?"

When I heard someone ask, Lu Zhou suddenly remembered that he did not seem to have tipped, and he took out two dollars of change from the bag.

But at this moment, he suddenly found out that the waiter...

Seems to be familiar?

Lu Zhou handed the tip to her hand and asked: "You are working here?"

"Yeah." Vera was too embarrassed to nod.

“Is there no scholarship?”

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

But what surprised him was that he remembered that American scholarships were very good, not to mention the imo gold medal players. As long as they are not too hobby, it is not difficult to read the university without spending a penny.

Vera apparently did not expect to meet Lu Zhou here. She smiled embarrassedly and whispered: "The scholarship is there..."

If you are traveling for money, or if you are working and living, you will definitely speak out.

Seeing that she did not continue to say it, Lu Zhou probably guessed that most of the reasons were similar to their own, and they opened this heavy topic.

"Are you Russian?"

Vera’s expression was subtle and she shook her head.

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

I seem to have asked a question that I should not ask.

Just then, the kitchen chef shouted her name.

After hearing her name, Vera quickly turned back and screamed, and Xiaoke and Lu Zhou said sorry, and hurried back.