Ultimate Scholar

Math guess smasher?

Hearing this title, Li Mu couldn't help but smiled, and said modestly, "That's not the case."

"I haven't solved many problems, just a few."

Can count on one hand.

Isa rolled her eyes suddenly.

God damn "only a few".

No matter how good her self-cultivation is, she almost couldn't hold back her swearing at this time.

For anyone, just solving a mathematical conjecture or something is enough to last a lifetime.

For example, after Andrew Wiles proved Fermat's last theorem, he directly made him the top mathematician in the field of mathematics. Besides, Perelman, who proved the Poincaré conjecture, even though he was low-key by nature, has always avoided the world However, his legend is still circulating in the mathematics world.

It turned out that Li Mu was lucky now, he had solved so many conjectures, but now he just used the words "only a few" to cover up all this great achievement.

"When you say this, it doesn't make people feel humble at all."

"Yeah?"

Li Mu laughed.

He was just telling the truth.

When he solves the Riemann conjecture, he will definitely not be humble.

Isa shook her head and didn't continue to say more. She took out her own book and read it beside her.

Li Mu also returned to tranquility.

Although ambient music is playing in the library, it also gives people an extremely quiet feeling.

Time passed quietly.

...

The research on Goldbach's conjecture is not accomplished overnight.

Li Mu's only first-mover advantage is that he once solved the same prime number problem as the twin prime number conjecture.

Although the two are still different, the use of the methods can also form a connection, after all, they both study prime numbers.

Of course, the only intersections between the two are prime numbers, so not much help can be provided.

In this way, a few days passed.

One ordinary morning, Li Mu woke up, simply made a glass of milk in the dormitory, boiled an egg, added a few slices of bread, and breakfast was over.

Then he took his bag and prepared to go to the library.

For him, it is the same wherever he studies, but the only good thing about the library is the atmosphere.

It's like when you were in college, there were many students who couldn't continue studying in the dormitory, but after going to the library, they calmed down.

However, as soon as he opened the door, after walking out, he saw that the door of the next door was also opened.

Isa came out from inside.

She closed the door, turned her head and saw Li Mu.

Her eyes lit up: "good morning, Li! I'm just looking for you."

"Good morning." Li Mu nodded to her and asked, "What can I do for you?"

"Professor Richter also knows that you are studying Goldbach's conjecture, so he asked me to convey it to you, do you want to cooperate?"

"Of course, it's okay if you don't want to. After all, you have researched so many conjectures independently, maybe you can solve them by yourself."

Isa smiled.

Li Mu thought for a moment, and then said: "Since it's Professor Richter's invitation, it's okay to go and get to know it."

He does not resist cooperation. If the partner of cooperation can bring him some inspiration, it is acceptable.

"Really? That's great! Then we're in the same research group."

Isa immediately smiled and said, "Then I'll take you to Professor Richter's office now! We usually do projects there."

Without any nonsense, she and Li Mu left the graduate apartment and went to the teaching building of Merton College.

When I came to Professor Richter's office, there were many young people in it, obviously, like Isa, they were students of Professor Richter.

Then, a middle-aged man about 50 years old came from the side, smiled and extended his hand to Li Mu: "Li, welcome."

Li Mu quickly recognized this person, Lucas Richter, a professor of mathematics at Merton College.

He also extended his hand and shook hands with the other party, and said with a smile, "Professor Richter, nice to meet you."

"I heard from Isa that you were also studying Goldbach's conjecture, so I took the liberty of entrusting her to ask if you would like to cooperate." Richter smiled slightly.

"I am also very honored to have your consent."

"Maybe with you, a mathematical genius, joining us, we will be very close to the answer to Goldbach's conjecture."

"Not necessarily." Li Mu said modestly again: "In any case, Goldbach's conjecture is also the brightest jewel in the crown of number theory, and it is still very difficult. It is not an easy task to solve it. things."

This time it was true humility.

Richter laughed: "Maybe so, but I believe you have magical powers, just like your performance in physics recently."

Li Mu said helplessly: "Well, I also hope that I have such magic power."

Richter patted him on the shoulder, and then said: "Okay, let's not say any more, let me show you our current progress first."

Afterwards, he brought Li Mu to his desk, took out a document from the side, handed it to Li Mu, and said, "I have been studying Goldbach's conjecture for about three years."

"I found that whether it is a single circle method or a separate sieve method, it seems a bit stretched to deal with Goldbach's guess."

"And for now, both approaches appear to be running out of steam."

"But if these two methods can be turned into one method, perhaps there will be a huge improvement in dealing with prime numbers."

Hearing Richter's words, Li Mu looked at the information in his hand and thought: "Combine the circle method and the sieve method into one method...?"

"Yes." Li Hutt nodded.

"In the last century, the sieve method used in the '1+2' form proved by Chen Jingrun, who is also from Huaguo with you, has been considered to be the ultimate sieve method. It didn't shine on Goldbach's conjecture, but we must not ignore the importance of the round method."

Li Mu nodded slightly.

Although Richter's statement is only a conjecture, it is also in line with the consistent thinking in the current mathematics circle.

Mathematicians now generally believe that in order to prove the Goldbach conjecture about even numbers, major improvements must be made on existing methods, and there are even some people who believe that the proof cannot be completed based on improvements in existing methods, and it is necessary to New ideas or new mathematical tools.

So maybe Richter was right too. \b

"The information I gave you contains some of my thoughts on combining these two methods."

"Do you see if there is still room for optimization?"

In front of Li Mu, Richter, as a professor, has always maintained an equal attitude when speaking, and even has some meaning of asking for advice.

But no one in the office thought there was anything wrong with that.

When Richter's students saw this scene, they were all moved with emotion.

"As expected of Li, I have never seen Professor Richter have such an attitude in front of a person of our age."

"yes!"

"Don't say such things. When we see Li, is it possible that you just treat him as a peer?"

"Uh...it seems that I really can't."

Perhaps it is normal to regard Li Mu as a professor.

Others asked Isha Grosvenor: "Isha, how did you meet Lee?"

"Uh... We all live in the dormitory provided by the school. He and I are neighbors."

"Oh! God, if I knew that I could live in a dormitory and be neighbors with Li Mu, I would have lived in a dormitory too!"

"Isa, why don't you live in my rental house, and then I'll live in your dormitory?"

The postgraduate dormitories that Merton College can provide are limited and cannot accommodate all postgraduate students, so at least half of the postgraduate students live in rented houses outside.

Li Mu was able to have a dormitory because the college reserved one for him.

Therefore, regarding the matter of renting out a house for a dormitory, Yisha said directly: "I refuse! I don't want to live outside."

It is not an easy matter to be able to snatch the dormitory of Merton College.

"Okay."

The person who said he wanted to change houses could only sigh.

...

Of course, neither Li Mu nor Professor Richter paid attention to their discussion.

Li Mu continued to look at the materials provided by Richter, which were basically manuscripts.

This makes Li Mu, who has gradually become accustomed to directly connecting electronic devices with the computer in his mind, and then downloading papers and books from the Internet, feel a little troublesome.

It takes him 5 seconds to read one page with his eyes, but he can read ten pages in 0.5 seconds if he downloads it to his brain computer.

In addition, because the fonts of the manuscripts are often not particularly standard, when he reads the material in his hand, he can basically only read one page in 10 seconds.

"It's a bit slow."

Li Mu sighed slightly in his heart, but soon he shook his head with a broken smile. It is really easy to go from frugal to extravagant, but difficult to go from extravagant to frugal.

One page of manuscript in 10 seconds, even when he was still a third-level brain computer, it was already very fast.

So it didn't take long before he finished reading the information in his hand.

After holding it in his hand and thinking for a while, he handed it back to Richter.

Richter was taken aback for a moment, then couldn't help asking: "Have you... finished reading?"

His manuscript is about 30 pages long. Li Mu read it so quickly?

Li Mu nodded: "It's over."

"The idea of ​​using the method of finding the quadratic extremum that you mentioned in it to improve the two in the same direction, I think it is very worth a try."

He thought for a while, and then found a piece of draft paper from the side, "This draft paper should be usable, right?"

"sure."

Richter hadn't realized that Li Mu had finished reading his manuscript, so he subconsciously said something.

Li Mu didn't talk nonsense, just took out a pen from his pocket, and started writing on it.

"For a nonzero integer m, the loop integral along the unit circle is a path..."

【∫e^(2πimt)dt=0】

"If and only if the integer m=0..."

"If you consider the integral formula..."

【D(N)=∫S^2(t, N)e...】

While writing, Li Mu also introduced his thoughts and ideas.

Until the end, "So, if we want to combine the sieve method and the circle method, the Goldbach's conjecture about even numbers can be reduced to the triangular polynomials with prime numbers as variables in the integrals D(N) and T(N) e^(2πipt), substituted into the sieve function S(u, P, z)."

"In the end, it is for us to prove that when λ=2, this sieve function combined with triangular polynomials is greater than zero."

"That's it."

Seeing this scene, Richter was immediately stunned.

He just showed Li Mu his own manuscript, but Li Mu directly deduced it to this extent?

Even found out the final proof conditions.

"You and I……"

He opened his mouth and was speechless for a while.

Li Mu looked at him suspiciously, and asked, "Professor Richter?"

Richter said helplessly: "Listening to your analysis, I am really ashamed. Maybe even if you don't cooperate with me, you should be able to handle it by yourself?"

Li Mu smiled and waved his hands: "No, no, the idea of ​​combining the sieve method and the round method you provided also gave me a little hint."

Richter shook his head and didn't say anything, but looked at Li Mu's draft paper again, glanced at the analysis listed on it, and then said: "That is to say, as long as this goal is completed, it will be fine."

"Yes." Li Mu nodded: "After the two are combined, the change of the sieve function, I would like to call it the sieve circle function."

"It's more convenient than the previous separate sieve function."

"But the current problem is still at the forefront—"

Li Mu pointed to the previous formula: "How can we demonstrate that the sieve function in this sieve method and the trigonometric polynomial in the circle method can be combined?"

Richter touched his chin: "Well... Indeed, this is the most critical question."

The formula given by Li Mu is actually based on the assumption that the sieve method and the circle method can be used in combination, so their next work needs to truly combine the sieve method and the circle method.

Li Mu said with a smile: "But no matter what, we have indeed found a direction to success."

Richter smiled and didn't take the credit: "It's you, not us."

Then he said solemnly: "Li, I have to make an agreement with you first. Although I invite you to cooperate now, if the proof is really completed and I have not made any meaningful contributions, I will Cancel the cooperation between us at any time."

"This honor should be yours, it's yours."

...

When Li Mu left Professor Richter's office, he couldn't help saying to Isa next to him: "Professor Richter is really a good person."

It is really rare in academia to actively propose things that do not take credit.

There are no less academia than other places, not to mention the honor of proving Goldbach's conjecture.

People like Richter are rare.

"Professor Richter came from a hereditary nobleman, and he did this to maintain his family's honor." Isa said with a smile.

Li Mu was taken aback for a moment: "Hereditary nobles? Why have I never heard of it?"

"Professor Richter has basically never disclosed it to others."

"That's it."

Li Mu couldn't help but sigh with emotion. He had only heard about this kind of hereditary nobleman in various works before, but he didn't expect to see one with his own eyes now.

Then he couldn't help asking curiously: "But how do you know?"

"I... I also found out by chance." Isa explained, and then asked, "Would you like to have lunch together?"

They went to Richter's office in the morning, and now it's lunch time.

Li Mu thought for a while, then nodded: "Of course."

"Okay!" Isa suddenly burst into a smile.

But at this moment, they passed a corner, and Li Mu saw Yun Rongshang walking towards him.

When the two met, they were immediately taken aback.

Then Li Mu greeted with a smile: "Sister Yun."

Yun Rongshang nodded to him, "Li Mu, I'm coming to find you."

Then she turned her head again, looked at Isa next to her, narrowed her eyes, and asked with a smile, "Is this... your classmate?"

...

Kavinka's pain