Probably noticing something was wrong with Li Mu's expression, Professor Lin Yao asked: "What's wrong with you?"
Li Mu came back to his senses and put this new task in the back of his mind. He quickly shook his head and said, "No, no, I'm just a little surprised that the American Mathematical Society would actually send me this invitation."
Lin Yao smiled and said: "Never underestimate yourself, you are a mathematical genius who has been compared to Gauss."
Gauss showed amazing mathematical talent when he was young, and so did Li Mu. Therefore, many people on the Internet now compare Li Mu to another Gauss.
Li Mu scratched his head and said modestly: "I'm still far from Gauss."
Lin Yao waved his hand: "This is now, the future is uncertain."
He didn't know what would happen to Li Mu in the future, but anyway, he had already seen the shadow of a future mathematics master.
After that, Li Mu finally got Dean Pang Ming's consent and agreed to his departure in the next period of time.
With the dean's consent, Li Mu finally got permission to take leave from other mathematics teachers.
Of course, conditions are indispensable. They are similar to the teachers at the School of Physics, who basically require Li Mu to perform well in the final exam.
Of course, Li Mu agreed to this.
Anyway, for him, taking the exam is no problem.
Full marks to Gaganna.
…
"I'm going to be away for about three to four weeks this time. Are you ready with a change of clothes?"
Two days passed quickly and it was time to set off.
Downstairs in the science building, Wu Mengyuan, who was holding a large suitcase, glanced at Li Mu and asked.
"Everything is ready!"
Li Mu patted his suitcase, which was also large and heavy.
It was already mid-November, and the weather had already turned cold. Considering that the weather was probably going to get colder in the coming days, the clothes he brought were also very thick.
"That's okay, let's get in the car." Wu Mengyuan nodded, and then took Li Mu into the car.
The driver was a teacher from their college. The car started, went to the airport, and then boarded the plane to Beijing.
This time the project was hosted by the China Institute of Atomic Energy, so the experiments and research took place at the Institute of Atomic Energy in Shangjing.
Of course, only the Atomic Energy Research Institute in China has the ability to develop fourth-generation nuclear power plants.
After getting on the plane, Li Mu and Wu Mengyuan were seated in different seats because they checked in a little late.
Li Mu did not take advantage of this free time to study. Instead, he closed his eyes and thought about the new task in his mind.
Since he still had to focus on the tasks of national-level projects in the next period of time, he had to determine as soon as possible what new results report he would publish after attending the Joint Mathematics Conference.
You know, the 2020 Joint Mathematics Conference will be held in February, and the time is relatively tight, so he has to prepare early.
When he closed his eyes and thought, the two passengers sitting next to him also arrived. He was leaning against the aisle, and sitting in the middle was a junior high school boy who looked about fourteen years old. He was wearing a peaked cap on his back and looked very prosperous.
of vigor.
The person sitting by the window was a man with glasses who looked to be about 27 or 28 years old. He also closed his eyes and took a rest after coming up.
When the junior high school boy came up, he took out a book from his bag and started reading it with great concentration.
However, Li Mu didn't pay attention to what book he was reading. He was reviewing various unsolved mathematical problems in his mind, thinking about which problem would be the best to study.
For a while, he even had difficulty choosing.
As time passed, the plane finally entered the runway, accelerated, and took off.
Feeling the feeling of weightlessness when taking off, as a physics student, Li Mu couldn't help but admire this human technology.
After the plane reached the predetermined altitude and began to fly stably, Li Mu suddenly heard discussions coming from the side.
He couldn't help but open his eyes and look to the side, only to see that the two people sitting next to him were actually discussing a problem, and it was...a math problem?
He turned his head and saw that the book the junior high school boy next to him was reading was actually called "Advanced Number Theory."
What they were discussing seemed to be a question mentioned in this book.
"...The charm of this problem is that any elementary school student can understand it, but no one can solve it." The man with glasses said.
The junior high school boy nodded and said, "Of course I can understand this, but what is the progress of the research on this issue now?"
"There are also many results. For example, in 2005, a mathematician proposed a weak version of this problem."
As the bespectacled man spoke, he began to write on the small table.
"The given set is a series of positive rational numbers that can form a multiplicative semigroup, the elements of which are generated in the following way..."
【{2}∪{(2k+1)/(3k+1)|k≥}......】
Looking at what the man with glasses wrote, the junior high school boy actually read it with gusto and seemed to understand it.
"In addition, just a few months ago, a mathematician named Terence Tao also gave a very close idea. He described the path of this sequence, and as long as it can be proved that this sequence is a real sequence tending to positive infinity,
Sequences can completely solve this problem, but there is still a problem..."
The man with glasses wrote another formula on the paper.
[ΛR(N):=∑μ(d)log(R/d)=……]
"What should we do down here..."
The man with glasses seemed to be lost in thought.
As for the junior high school boy, his face changed from the one of interest just now to one of confusion.
Probably, the problem that the man with glasses was thinking about at this time was beyond his ability.
At this time, Li Mu understood what they were talking about.
Coraz conjecture!
Also known as the Hailstorm Conjecture and Kakutani Conjecture.
Its description is: Given any positive integer x, if it is an odd number, multiply it by 3 and add 1. If it is an even number, divide it by 2. After a number of times, it will always return to 1.
There is a description of this problem in the mathematics textbook of Huaguo Primary School.
It is simple enough that any primary school student can understand it, but its difficulty ranks among the top among all mathematical problems. This is its charm. Therefore, it is relatively more popular with mathematics than the Hadamah conjecture solved by Li Mu.
Everybody’s attention
There are even organizations offering a bounty on this problem, and anyone who solves the problem will receive $1 million.
But to this day, it still stands at the peak of mathematics, hindering the advancement of all mathematicians.
Li Mu didn't expect that after taking a plane, he could actually meet his colleagues.
And his eyesight was very good, so he saw what the bespectacled man was thinking.
After thinking for a moment, he reminded: "You cannot use ergodic theory, otherwise you will continue to get error terms similar to the form o(1)."
The man with glasses was stunned and asked subconsciously: "What should we do?"
Li Mu was not polite, crossed the middle seat, and took the scratch paper and pen from the bespectacled man's small table.
The man with glasses did not refuse at all, so he let Li Mu take it and watched Li Mu write.
After a moment, his eyes lit up: "Yes, yes...that's it! Semerdi's theorem!"