Over the past few days, Lu Zhou had learned a lot.
Not only in terms of academics, but also in terms of networking in the academic circle.
Many people that he had only seen in newspapers, news, and even textbooks stood in front of him. It was a wonderful feeling.
For example, Heim Brezy, an academician of the French Academy of Sciences and a foreign academician of the American and Chinese Academies of Sciences. The book [Functional Analysis] that Lu Zhou was reading was his work. The description and explanation of the Sobolev space left a deep impression on Lu Zhou.
This old gentleman from France was very funny and enthusiastic. Especially after he heard that Lu Zhou had read his work, he was even more enthusiastic about Lu Zhou. He repeatedly said that if Lu Zhou ever had the chance to come to France, he could go to École Normale Supérieure in Paris to find him.
He had a lot of interesting books, including Euler's manuscripts.
In addition to this enthusiastic and cheerful old man, Lu Zhou also met the famous Chinese mathematics genius, Tao Zhexuan.
Unlike the impression he had of Lu Zhou, the math genius who often wrote on his blog was surprisingly a shy and smiley person in real life.
In addition, he looked younger than Lu Zhou had imagined. It was hard to tell that this person was actually in his forties.
Because he was born in Australia, he could not speak Mandarin. Although he could speak Cantonese, Lu Zhou could not understand it. The two could only communicate in English.
On the fourth day of the academic conference, after the one-hour report, Tao Zhexuan invited Lu Zhou to visit his office.
The two only talked about domestic and foreign affairs at first, but soon, the topic turned to academic issues.
After a few words, Lu Zhou could not help but feel emotional.
He had to admit that this guy was a genius in the field of mathematics! His research covered all areas of mathematics. He might not be good at many things, but it was hard to find something that he did not know.
Also, in September of this year, he solved the 80 year old Eldesh difference problem. In the field of number theory and discrete analysis mathematics, this was a very classic problem, and it was outside of his research field.
However, because it was not as important as Polignac's conjecture, it was overshadowed by Lu Zhou.
"Are you researching Goldbach's conjecture?"
Lu Zhou asked in surprise, "Yes, have you studied it before?"
"I tried it at the beginning of this year, but I quickly realized that I couldn't solve it. I'm better at partial differential equations and harmonic analysis," said Tao Zhexuan with an embarrassed smile. He admitted his shortcomings and said, "When I read your thesis in Annual Mathematics, I was greatly inspired by the topology principle of sieve theory. I thought that if I could improve it, I might be able to solve this century's problem … Unfortunately, it turned out to be a pity."
"Is the sieve method still not working?" Lu Zhou asked with a frown.
Using topology to supplement the sieve theory was one of his backup plans. Tao Zhexuan's words were undoubtedly bad news for him.
"It doesn't work …" said Tao Zhexuan as he shook his head. He picked up a pen and wrote a few lines of calculations on a piece of paper.
[∑ | S (αm) | 2 ≤? ∑ | Αn | 2, where αn is any number.]
[S (α) = ∑ ane (αn), e (x) = e ^ (2πxi). M, N ∈ Z, a1 … an is a group of well-distributed real numbers modulo 1 …]
[…]
Lu Zhou stared at the calculations on the paper and rubbed his chin. He frowned and went into deep thought.
Tao Zhexuan put down his pen and smiled as he said, "I'm just showing off, you invented this method."
"No, Professor Zellberg was the one who introduced topology to the sieve method. I only did a little bit of work, and you obviously made a lot of improvements." Lu Zhou smiled and continued to look at the expressions on the paper. He then said, "Since am is well-distributed, why don't we consider R ^ (-1) · ∑ | S (αm) | 2 as the Riemann sum of | S (α) | 2dα?"
Tao Zhexuan's eyes lit up as he asked, "Then what?"
"Taking the value R = 1, from the Cauchy-Schwartz inequality, we can get …" Lu Zhou picked up a pen and wrote down his idea on a piece of paper.
[| S (α1) | 2 ≤ N ∑ | an | 2]
Tao Zhexuan's eyebrows furrowed as he said, "Your idea is very interesting … We just need to find a value of N (δ) to find?"
Lu Zhou rubbed his chin and said, "Yes,? It won't be much larger than N + δ ^ (-1), but the problem is N. "
The two went silent for a while before they looked up and smiled at each other.
They both had a bitter smile on their faces.
It really doesn't work!
Tao Zhexuan threw the pen on the table and let out a sigh.
"Goldbach's conjecture is too difficult. We might have to wait for another ten or even twenty years. Maybe you can try the circle method. Honestly, the sieve method is not going to work. "
Lu Zhou shook his head and said, "I'll research it when I have time, but I haven't completely given up on the sieve method. Maybe it still has potential that we haven't discovered yet."
"Why don't you come to Berkeley to teach? The environment here is pretty good, we can research this topic together … If you don't think I'm stupid," said Tao Zhexuan as he smiled.
Lu Zhou: "…"
Sure, if someone with an IQ of 230 thinks he's stupid, what about the average person with an IQ of around 100?
For the first time, he realized that talking to someone who was too humble was a headache.
Lu Zhou coughed and said, "I haven't graduated my PhD yet. I'll probably go to Princeton early next year."
"You haven't graduated yet?" said Tao Zhexuan as he looked at Lu Zhou. He then said, "Okay then … China's universities are pretty strict."
Lu Zhou, "I just started my master's at the beginning of this year."
"Oh, that's understandable," said Tao Zhexuan as he smiled and said, "It was the same for me when I was doing my master's. I could have graduated in half a year, but my supervisor wanted me to stay for a year."
Tao Zhexuan wrote down his email address on a piece of draft paper and handed it to Lu Zhou. He then smiled and said, "Let's keep in touch via email. If I have any new discoveries, I'll contact you."
"Okay."
Lu Zhou smiled and nodded. He put away the draft paper and wrote down his email address on another piece of draft paper. He then said goodbye to Tao Zhexuan.
While Lu Zhou was walking in the direction of the hotel, he kept thinking about the question. He was puzzled.
The more he thought about it, the more hungry he became.
He took out his phone and looked at the time. He saw that there was still a bit of time before dinner, so he turned around and walked into a rib shop.
After Lu Zhou ordered a rib set, he took out $19 in change and placed it on the counter. He then found a seat and sat down.
Everyone said that American meat was cheap, but he felt like it was not that cheap.
A portion of ribs was 19 USD, which was more than 110 RMB.
Just as he was thinking about this, a slightly skinny waiter carried a plate as wide as a washbasin and placed it on his table with some difficulty.
Lu Zhou's eyebrows twitched when he saw what was on the plate.
He thought the rib was the kind of rib that he saw in a western restaurant. He didn't expect to see an entire plate of ribs on the plate! It was enough to make a few pots of soup!
There was also a half-pound baked potato sprinkled with butter and sour cream, a bowl of Mexican red bean stew, and a mysterious soup with cream added …
It seemed like the price of the meat was quite cheap.
However, it was obviously not a portion that could be finished by one person …
He finally knew why there were so many fat people in America.
"Sir, are you satisfied with the food?"
When Lu Zhou heard someone ask, he suddenly remembered that he didn't tip the waiter yet. He took out two dollars from his bag.
But then, he suddenly realized that this waiter …
Looks familiar?
Lu Zhou handed the tip to her and asked, "You work here?"
"Mhmm." Vera nodded in embarrassment.
"You don't have a scholarship?"
Lu Zhou used to work part-time to pay for his tuition and living expenses, so he didn't think there was anything wrong with it.
But what surprised him was that he remembered that it was easy to apply for a scholarship in America, especially for an IMO gold medalist. As long as she didn't have too many hobbies, it wasn't difficult for her to finish college without spending a single cent.
Vera obviously didn't expect to see Lu Zhou here. She smiled embarrassedly and said, "There is a scholarship …"
If it was to save money for a trip or to experience life, she would have said it openly.
Seeing that she didn't continue, Lu Zhou guessed that it was for the same reason as him, so he changed the topic.
"You're Russian?"
Vera had a subtle expression on her face as she shook her head.
Seeing her slightly embarrassed expression, Lu Zhou felt like …
Did I ask a question that I shouldn't have asked?
Just then, someone in the kitchen shouted her name.
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