Cheng Hao took over the class schedule from Professor Wiles.
There were records of class schedules on it. Cheng Hao took a quick look and found that there were not many classes. Basically, there were only two or three classes a week, so it was not a waste of time.
"Okay! I get it!"
Professor Wiles smiled slightly, looked at Cheng Hao in front of him and said, "By the way, where have you gone in your research on Goldbach's conjecture?"
Hearing Professor Wiles's initiative to ask, Cheng Hao explained his general research direction and problems these days.
After listening to Cheng Hao's narration, Professor Wiles' eyes showed a hint of contemplation.
"As for the integration of the circle method and the sieve method, in fact, you are not the only one doing research. Many mathematicians have done some research in this area, and many people have even achieved certain achievements in this area.
But you should be the only one who tries to integrate the circular sieving method and group theory!"
Professor Wiles looked at Cheng Hao in front of him with admiration in his eyes.
"Most mathematicians have been studying the circle method and the sieve method for a lifetime, but there is no way to successfully integrate them. You actually dare to introduce group theory into them. The difficulty is really too great!"
After hearing what Professor Wiles said, Cheng Hao said helplessly.
"No way, I just wanted to integrate group theory and sieve method at the beginning, but I found that the simple integration of these two methods may not be enough to solve this problem. Some concepts from the circle method may also need to be used...
"
Saying that, Cheng Hao shrugged.
"In terms of your idea, according to my intuition, the problem should not be big, but the problem now should be how you integrate the three.
I suggest you read the manuscripts of Galois during his lifetime, which can be found in the Flint Library. Unfortunately, the Flint Library does not have the manuscripts of Abel and Cauchy, otherwise you should gain something by looking at their manuscripts."
Galois is the founder of group theory, and of course Cauchy, the creator of Cauchy's inequality, Abel is also a famous mathematician.
Professor Wiles' words made Cheng Hao nodded.
"I understand! Professor!"
With that said, the two discussed some possible directions about Goldbach's conjecture and some ideas about Hodge's conjecture.
Professor Wiles' thinking is very sharp. Although he is a bit older now, his intuition about mathematics still surprises Cheng Hao.
Cheng Hao learned a lot from Wiles' intuitive mathematical experience.
"Okay! That's it for today!"
Professor Wiles looked at Cheng Hao in front of him with a smile in his eyes and said.
"I can't compare to you young people. Your brain works very fast, and you are also very flexible and energetic!"
As he spoke, Professor Wiles looked at Cheng Hao with envy in his eyes. His eyes were full of emotion, as early as ten or twenty years ago.
He is like this too, but unfortunately now...
Cheng Hao bowed slightly toward Professor Wiles.
"Professor, I'm leaving first!"
"Go for it!"
After Cheng Hao left the office, he did not go back to his dormitory directly, but went straight to the Flintstone Library and went directly to the third floor.
The old man who looked after the manuscripts of many mathematicians on the third floor already knew Cheng Hao, so he was not surprised to see Cheng Hao arriving.
Helped Cheng Hao find Galois's manuscripts during his lifetime.
Cheng Hao didn't leave the Flintstone Library until after nine o'clock in the evening, before the library closed.
Walking on the road to Princeton, Cheng Hao frowned tightly, and there was a hint of contemplation in his eyes. To be honest, after reading Galois's manuscripts during his lifetime, Cheng Hao gained a lot.
The first is a deeper understanding of group theory itself.
It's just about the difficulty of introducing group theory into the sieve method and the circle method.
Cheng Hao smiled bitterly and shook his head.
Difficult! Difficult!
Cheng Hao sighed slightly. After returning to the dormitory, Cheng Hao had a good sleep.
The next day, Cheng Hao had just gotten up when the phone next to him rang.
He was stunned for a moment before answering the phone.
"Cheng Hao! You should be at Princeton now, right?"
Cheng Hao was slightly stunned when he heard this voice, but soon remembered that it was Tao Zhexuan's voice.
"Yes, I'm here!"
"I'm at the door of Nassau Hall! Come to me quickly, I seem to have found the key to solving Goldbach's conjecture!"
Hearing the excitement in Terence Tao's tone, Cheng Hao was slightly shocked.
"Okay! I'll be right over!"
Cheng Hao looked solemn. He got up quickly, washed up quickly, and walked quickly towards Nassau Hall.ъìqυgΕtv.℃ǒΜ
Soon, Cheng Hao met Terence Tao for the first time at the entrance of Nassau Hall, an old friend with whom he had exchanged emails for a long time but had never met.
"Hey! Cheng Hao!"
Terence Tao recognized Cheng Hao at a glance. After all, Cheng Hao also recognized Terence Tao at a glance.
The two of them seemed like old friends for many years, with smiles on their faces and their hands holding each other naturally.
"Let's go! Let's find a place to chat!"
Cheng Hao took the initiative to propose.
Soon, Cheng Hao found a cafe in Princeton, and the two of them sat down in a remote corner.
Just sat down.
Tao Zhexuan couldn't wait to look at the queen in front of him and said with excitement in his eyes: "Cheng Hao, I have found a path that is very likely to solve Goldbach's conjecture!"
With that said, Tao Zhexuan probably told Cheng Hao his thoughts.
Cheng Hao frowned and listened for a while, occasionally asking questions of his own.
After discussing for a while, Cheng Hao's eyes flashed with light.
"Your idea seems to be quite right, but regarding the problem with Goldbach's conjecture..."
The two had a heated discussion for a long time, and the more they discussed, the more in-depth they became about some details and directions of Goldbach's conjecture.
The discussion continued until the cafe closed.
The two went to the room occupied by Tao Zhexuan in the Princeton Hotel to continue discussing the issue.
After discussing until late at night, Cheng Hao returned to the dormitory.
The next day, the two met again at the same place and continued to discuss Goldbach's conjecture.
Regarding the progress of this issue, the two of them have made great progress compared to before, and basically fully communicated their previous research and ideas.
Until the third day.
Finally, a huge difference of opinion emerged between the two.
"There is something wrong with your path!"
Tao Zhexuan looked at the calculations on the page in front of him, frowned and looked at Cheng Hao in front of him and said.
"I can understand the introduction of group theory into the sieve method, which can definitely solve Goldbach's conjecture. But if you introduce the circle method into it, I can't understand it. This is mathematics. It doesn't mean that the more things you introduce, the better it will be.
Solve the problem!"
[Brothers, keep asking for gifts...Hey, it’s too difficult. There are far fewer people giving gifts now than before...]