In fact, Helfgott was not the first person to challenge the weak conjecture of Goldbach's conjecture. A long time ago, a former Soviet mathematician, Vinogradov, proved that when an "odd number is large enough, it can be written as the sum of three prime numbers".
This was also known as the "Goldbach-Vinogradov theorem", or the "three prime number theorem".
As for the "large enough odd number", it was another former Soviet mathematician, Baledkin.
However, the number he obtained was too large. The right side of the inequality was expanded to 4008600 digits. Even modern supercomputers could not exhaustively enumerate such a large set.
Helfgott's research in 13 years was considered to have completed the last leg of the relay race of the century, reducing the number to "10 ^ 30." Even though this number was also large, "30 digits" was much smaller than "4008600 digits". At least the computer could handle it.
When Lu Zhou was proving the twin prime conjecture, he used the three prime number theorem, so he had a deep impression of it.
When he returned to the hotel, he closed the door and began to organize his notes.
Many of Helfgott's ideas were interesting. Whether it was the choice of power series generating function or the solution to the asymptotic problem, there were many innovative areas.
It seemed that the professor was not satisfied with the success of the weak Goldbach's conjecture. Instead, he continued to polish his theory.
Compared to the 2013 thesis, the content of his report was much more concise and rigorous.
After all of the notes were organized on the computer, Lu Zhou flipped through the original notes in his hand and began to think.
Should I continue to study the sieve method?
Or should I use the circle method?
This was a question worth thinking about.
The former had not made any big movements for decades, while the latter seemed to have been producing results.
"… The problem is, how do I find a small lower bound that meets the conditions in the large set of even numbers?" Lu Zhou flipped through the pages and muttered to himself, "It seems like the idea of proving this problem is similar to the twin prime conjecture."
Suddenly, he heard a knock on the door.
Lu Zhou threw the notebook aside, sat up on the bed, and walked to the porch to open the door.
The person who appeared at the door was Luo Wenxuan. He greeted him as soon as he saw him.
"Hey."
Lu Zhou asked curiously, "What's the matter?"
"It's almost Christmas, don't tell me you're going to stay here and study mathematics," said Luo Wenxuan as he took out two tickets from nowhere. He smiled and said, "There's a basketball game on the 23rd. I got two tickets from a friend, do you want to watch together?"
The 23rd was probably the day after tomorrow.
If Lu Zhou remembered correctly, there was a one-hour report that day.
Generally speaking, those who had the opportunity to make a one-hour report were either big names in the industry or had recently made a major discovery.
No matter which one it was, Lu Zhou did not want to miss it.
Lu Zhou shook his head and politely declined, "Thank you, but I'm not really interested in football, and I don't want to miss a report that day. You should find someone else to accompany you."
Luo Wenxuan sighed and said, "Don't be like this, Lu Zhou. You're coming to Princeton soon, and you have to learn how to adapt to life here. It's different here than in China … At least, you have to fall in love with a sport. "
Lu Zhou thought for a bit and said in a relaxed tone, "I don't think it's necessary to force myself to adapt to a lifestyle that doesn't suit me. Rather than adapting to life, I prefer to live at my own pace and let life adapt to me. "
"Okay, maybe you're right." Luo Wenxuan looked at the ticket in his hand and said helplessly, "But I still suggest that you develop a hobby other than mathematics. Not only will it help you find a common language in social interactions, but it will also help you relax."
Lu Zhou smiled and said, "I'll think about it if I'm not busy."
Luo Wenxuan said, "Oh yeah, do you want to drink tonight? I found a good bar nearby. "
Since Lu Zhou had been studying mathematics for the past few days, he wanted to change his mind. He smiled and said, "Sure."
Luo Wenxuan joked, "Haha, it's not easy to ask you out."
…
The Cole Prize incident had been brewing in the country for a full three days. Even three days later, related news could still be seen sporadically appearing in people's field of vision.
As the first young scholar in China to win the Cole Prize, whether it was for the sake of the news itself or for the sake of politics, the media naturally followed up on this matter.
As the saying goes, good things come in pairs. Although the Cole Prize was not as important as the Dynamite Prize, it was still an international award!
After the millennium, with the gradual decline of the Hua Luogeng School of Mathematics, number theory had always been a shortcoming of the Chinese mathematics community.
The appearance of the Cole Prize had swept away the haze that had been hanging over the number theory world for many years.
It was not only Jin Ling University that was happy for Lu Zhou, but also Lu Zhou's high school, Jiangling No. 6 High School.
When he won the Shiing-Shen Chern Mathematics Award, a banner was hung at the school gate. Before the old banner could be taken down, a new one had been put up.
[Congratulations to our school's 13th graduate, Lu Zhou, for winning the internationally renowned mathematics award, the Cole Prize in Number Theory!]
Jiangling No. 6 High School, third-year mathematics office.
Xiao Tong, who was standing at the door, knocked on the door. When she heard someone say, "Come in", she walked in confused.
She was still studying at night when she was suddenly called by the class representative. The representative said that Old Ma was looking for her.
Being called to the office by Old Ma was not a good thing in Jiangling No. 6 High School.
Among all the teachers, Old Ma had the worst temper.
Every night during self-study sessions, he liked to overstep his boundaries and patrol for the form teacher. Not only would he confiscate the phones of those who were playing with their phones, he would also bring them to the office to do homework. As a result, many students were afraid of his reputation. Whenever they heard his name, they would think of Ox-Head and Horse-Face.
Xiao Tong walked to the desk nervously. She was about to ask what happened, but Old Ma smiled amiably, stood up, and pulled out a chair for her.
"Sit down, don't just stand there."
Xiao Tong:???
She was shocked by Old Ma's abnormal behavior.
Since when did Old Ma start to walk the path of amiability?
However, considering that this might be the calm before the storm, Xiao Tong still sat down.
"Xiao Tong, how are your studies recently?"
Xiao Tong thought for a bit and said, "It's okay …"
Old Ma smiled and said, "If there's anything you don't know, just ask the teacher!"
Xiao Tong did not want to talk in riddles anymore. She took a deep breath and sat up straight. She said with a serious face, "Teacher, did I fail the monthly test? Just tell me my score! I'll work hard. If you're angry, just scold me! "
"No, no, no, your monthly test results are very good! What about your life? Is there any trouble, like … did anyone bully you in class? Tell the teacher, "said Old Ma with a serious face.
Confused by the question, Xiao Tong replied with a speechless expression, "No, our class is united and friendly. I have a good relationship with my classmates … Teacher, if you have anything to say, just say it. I haven't finished my homework yet."
Old Ma coughed and said, "Let me ask you something, Lu Zhou … Is your brother busy?"
Xiao Tong tilted her head and said, "He should be busy."
Old Ma hurriedly asked, "He should be back for Chinese New Year, right?"
Xiao Tong said, "Of course he has to come back for Chinese New Year, is there a problem?"
When Old Ma heard that he was coming back for Chinese New Year, he immediately smiled and said, "Um, here's the thing. The leaders of the city's education bureau want to invite Lu Zhou back to his alma mater to give a speech and share his learning experience. Can you go back and ask your teacher if your brother has time? As long as he has time, anytime is fine! "
It turned out that after beating around the bush for so long, it was for this matter!
Xiaotong, who thought that she was called to the office because she had caused some trouble, rolled her eyes in her heart and said, "Okay, teacher, I'll tell my brother."
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