Chapter 86 The Collats Conjecture on the Airplane
Probably noticing something wrong with Li Mu's expression, Professor Lin Yao asked, "What's wrong with you?"
Li Mu came back to his senses, put this new task to the back of his mind, quickly shook his head and said, "No, I'm just a little surprised that the American Mathematical Society will send me this invitation."
Lin Yao said with a smile: "Never underestimate yourself, you are a mathematical genius compared to Gauss."
Gauss showed amazing mathematical talent when he was young, and so did Li Mu, so many people on the Internet 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 doesn't know what will happen to Li Mu in the future, but anyway, he has already seen the shadow of a future mathematician.
Afterwards, Li Mu finally got Dean Pang Ming's consent and agreed to leave for a period of time.
With the dean's consent, Li Mu finally got permission to ask for leave from other math teachers.
Of course, the conditions are indispensable, similar to the teachers in the School of Physics, they basically require Li Mu to perform well in the final exam.
Of course, Li Mu agreed to everything.
Anyway, for him, there is no problem with taking the exam.
Full marks for Gagana.
...
"I'm going to go for about three to four weeks this time. Are you ready for a change of clothes?"
Two days passed quickly, and it was time to set off.
Downstairs in the science building, Wu Mengyuan, who was carrying a large suitcase, glanced at Li Mu and asked.
"It's all ready!"
Li Mu patted his suitcase, which was also very big and heavy.
It was already the middle of November, and the weather had already cooled down. Considering that the weather would probably get colder and colder in the future, he brought thick clothes.
"That's fine, 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 and went to the airport, and then boarded the plane to Beijing.
This time the project is hosted by the Huaguo Institute of Atomic Energy, so the experiment and research locations are at the Institute of Atomic Energy in Shangjing.
Of course, only the Institute of Atomic Energy in China has the ability to develop fourth-generation nuclear power plants.
On the plane, Li Mu and Wu Mengyuan's seats were not together, because they checked in a bit late.
And Li Mu didn't take advantage of this free time to study, but closed his eyes and pondered about the new task in his mind.
Since he still has to focus on the tasks of national-level projects in the next period of time, he has to determine as soon as possible what new results to report after going to 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 leaned against the aisle, and the one sitting in the middle was a junior high school boy who looked about fourteen years old, wearing a peaked cap backwards, looking very vigorous vitality.
The one by the window was a man with glasses who looked about 27 or 28 years old. He also closed his eyes and rested after coming up.
After the junior high school boy came up, he took out a book from his bag and read it very attentively.
However, Li Mu didn't pay attention to what books he was reading. He was reviewing various unsolved mathematical problems in his mind, thinking about which problem to choose for research.
For a while, he even had difficulty choosing.
As time passed, the plane finally entered the runway, and after accelerating, it took off into the air.
Feeling the feeling of weightlessness when taking off, as a physics student, Li Mu couldn't help but marvel at this kind of human technology.
After the plane entered the predetermined altitude and started to fly stably, Li Mu suddenly heard the sound of discussion coming from the side.
He couldn't help but opened his eyes and looked 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 junior high school boy next to him was reading a book called "Advanced Number Theory".
What they are discussing seems to be a thought 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 how is the research progress on this issue now?"
"There are also quite a few achievements. For example, in 2005, a mathematician proposed a weak version of this problem."
While talking, the man with glasses began to write on the small table.
"Given the set as a series of positive rational numbers, a multiplicative semigroup can be formed whose elements are generated by..."
[{2}∪{(2k+1)/(3k+1)|k≥}……]
Looking at what the man with glasses wrote, the junior high school boy actually read it with great interest, as if he understood it.
"In addition, just a few months ago, a mathematician named Tao Terence also gave a very close idea. He described the path of this sequence of numbers, and as long as it can be proved that this sequence of numbers is a reality that tends to positive infinity The number sequence can completely solve this problem, but there is still a problem..."
The man with glasses wrote down another formula on the paper.
【ΛR(N):=∑μ(d)log(R/d)=……】
"What should I do down here..."
The man with glasses seemed to be lost in thought.
As for the junior high school boy, his face changed from a relish just now to a bewildered one.
Probably, the problem that the man in glasses was thinking at this time had already exceeded his ability.
At this time, Li Mu understood what they were talking about.
Collats conjectures!
Also known as the hail conjecture and the Kakutani conjecture.
Its description is: given a positive integer x arbitrarily, if it is an odd number, multiply it by 3 and add 1, if it is an even number, divide it by 2, so that after several times, it will always return to 1.
There is a description of this problem in the mathematics textbook of Huaguo Primary School.
It is so simple that any elementary school student can understand it, but its difficulty is on the list of all mathematical problems. This is its charm, so it is relatively more popular than the Adama conjecture solved by Li Mu. everyone's attention
There is even a bounty on this problem, and anyone who solves the problem can get $1 million.
But to this day, it still lies on the peak of mathematics, hindering all mathematicians from climbing.
Li Mu didn't expect that he would meet his peers after taking a plane once.
And his eyesight is very good, and he saw the way the man in glasses was thinking.
After thinking for a moment in his mind, he then reminded: "You can't use traversal theory, otherwise you will continue to get error terms similar to o(1)."
The man with glasses was taken aback, and subconsciously asked, "Then what should I do?"
Li Mu was not polite, crossed the middle seat, and took the draft paper and pen from the small table of the man with glasses.
The man with glasses didn't refuse at all, so Li Mu took it and watched Li Mu start writing.
After a while, his eyes lit up: "That's right...that's it! Semedy's theorem!"