Just as Lu Xuanxin expected, the top mathematicians who studied number theory were staying up all night to study her paper. They were all attracted by this amazing discovery and wanted to find out more.
And tonight, many people are destined to have trouble falling asleep...
The next morning, the sun shone through the gap in the curtains and gently fell on Lu Xuanxin's face. She woke up slowly, feeling her mind unusually clear. She got up, walked to the sink, and began to wash. Just after she finished washing her face, there was a gentle knock on the door.
Lu Xuanxin was slightly startled. She lived in a university dormitory, and usually few people came to see her so early. She hurried over and opened the door. It turned out to be Professor Brezhnev and Professor Marko, two great mathematicians.
Seeing the two professors standing outside the door, Lu Xuanxin couldn't help but feel a little surprised. Why did they come to see her so early in the morning? She quickly invited the two professors into the house.
The two professors looked a little tired, their eyes were slightly blue, but their eyes were shining with excitement. They looked around Lu Xuanxin's room and saw a table full of draft papers, which were filled with complex mathematical formulas and reasoning. The two professors showed appreciative expressions.
"Student Lu Xuanxin, we have read your paper." Professor Boneyev said seriously, "We think your proof is very valuable, but there are still some parts that we don't understand. We would like to ask you to give us a report and explain your proof process in detail."
Lu Xuanxin was a little surprised. She didn't expect her paper to cause such a big response. She nodded in agreement.
"But there haven't been any international mathematics conferences recently." Lu Xuanxin was a little confused.
Professor Marko smiled and said, "The proof of the Goldbach conjecture is a major achievement that is enough to hold an international mathematics conference. I believe that mathematicians from all over the world will be willing to come to Princeton for this achievement."
Lu Xuanxin couldn't help but feel a little excited after hearing this. She nodded and said that she would be ready.
Professor Boneyev continued, "We have discussed with Nadamus, the president of the International Mathematical Union, and have decided to hold an impromptu seminar in the auditorium of Princeton University in three days. What do you think?"
Lu Xuanxin replied without hesitation: "I have no objection."
"Because of your paper, Professor Hausen-Davier and I also had discussions online. However, there are still many things we don't understand. You need to explain it in detail at the conference, otherwise the Annals of Mathematics may not include your paper, and the mathematical community may not recognize your achievements," Professor Boneyzhev reminded.
Lu Xuanxin nodded seriously, indicating that he would be fully prepared.
"Okay, go and have a rest and prepare well for the lecture." Professor Marco said with a smile.
After seeing off the two professors, Lu Xuanxin returned to her room. She sat down and began to sort out her thoughts and materials. She knew that she was facing a severe challenge, but she also believed in her own abilities.
At this moment, the phone rang suddenly. Lu Xuanxin picked up the phone and saw that it was Tao Zhexuan calling. Seeing his name, Lu Xuanxin couldn't help but laugh. Could this math genius finally not be able to resist and come to see her?
"Lu Xuanxin! You really proved the Goldbach conjecture! I can't believe your method is so ingenious!" Tao Zhexuan shouted excitedly on the other end of the phone.
"I didn't expect the Goldbach conjecture to be so complicated that it would require a combination of three methods to solve it." Lu Xuanxin said helplessly, "However, there are indeed some parts of my method that you may not understand. Wait for the report meeting in three days, and I will explain it in detail at the meeting."
"Okay! I will definitely go!" Tao said excitedly, "You have given me a big surprise! I thought I was only one step away from proving the Goldbach conjecture, but I didn't expect you to have already taken the last step. Really..."
Tao Zhexuan suddenly stopped talking here, as if he didn't know what to say. Lu Xuanxin smiled and said, "Who told you not to believe me?"
The two chatted for a while before hanging up the phone. Lu Xuanxin put down the phone and took a deep breath. She knew that she was about to welcome a grand event in the mathematics world. And she would be the protagonist of this grand event.
In just three days, the news that Lu Xuanxin had cracked the Goldbach conjecture spread rapidly in the Chinese mathematics community like wildfire. However, because this achievement has not yet been recognized by a wide range of mathematicians, its dissemination is relatively limited. However, after carefully reviewing Lu Xuanxin's proof, the scholars and professors of the Chen Jingrun School could not help but burst into tears. They felt that Lu Xuanxin not only fulfilled the unfinished wish of Mr. Chen, but also completely solved the important problem of the Goldbach conjecture in the mathematics community! This is the lifelong pursuit of the Chen Jingrun School, and now it has finally been realized.
Therefore, the International Association of Mathematicians decided to hold a seminar on the Goldbach conjecture, and scholars were eager to sign up. Chinese scholars who study number theory also set off to the United States, because the Goldbach conjecture plays an important role in the Chinese number theory community. Back then, Mr. Chen Jingrun shocked the world with his solution to "1+1", and the status of the Chinese mathematics community also rose. Now, Chinese students have cracked this conjecture again. How can the Chinese mathematics community miss such a grand event!
At the same time, mathematics circles from all over the world also flocked to Princeton. Because the Goldbach conjecture has a very high status in the history of number theory, it attracted countless people's attention. Nearly a thousand mathematicians gathered in Princeton, making this small town instantly bustling.
In the auditorium of Princeton University, Lu Xuanxin stood quietly on the podium. This huge auditorium was already full of mathematicians, including some famous scholars. Some of them knew Lu Xuanxin, while others did not, but at this moment they all stared at her intently. Although Lu Xuanxin looked calm, she was slightly excited inside.
At this time, Chairman Damus in the front row stood up and saw that everyone was present. He said to Lu Xuanxin: "Dr. Lu Xuanxin, you can start your report!" Almost all the audience members in the audience held Lu Xuanxin's paper and prepared to listen carefully to her explanation. Lu Xuanxin looked around, took a deep breath, and then began her report: "In order to make everyone better understand my argumentation process, I need to start with my solution. Because of the particularity of the Goldbach conjecture, the sieve method has been used to the extreme by Mr. Chen Jingrun..."
Hearing this, the disciples of Mr. Chen Jingrun in the back row of the lecture hall were already in tears. They lamented that this was a kind of inheritance in the mathematics community! It was a pity that they could not inherit Mr. Chen's legacy and solve this conjecture. Lu Xuanxin continued: "We have used the sieve method, the large sieve method, and the circle method to the extreme, but obviously these methods are not enough to solve this conjecture. Therefore, I introduced group theory between these methods!" After speaking, Lu Xuanxin began to write her argumentation process on the blackboard. Although she was very fast, the mathematicians in the field were all professor-level experts and could barely keep up with her train of thought.
However, it wasn't long before most professors began to feel confused. The fusion of group theory and sieve method plus circle method? What was this operation? Only a few top mathematicians could barely keep up with Lu Xuanxin's thinking, and everyone else was at a loss.
After a while, Lu Xuanxin had already written dense formulas and words on the back blackboard. She stood there quietly, as if she had merged into the world on the blackboard.
"Can everyone understand this?" Lu Xuanxin raised his head and asked everyone in a calm tone.
Everyone looked at each other, with a hint of embarrassment and confusion on their faces.
Suddenly, a young man named Terence Tao stood up and everyone's eyes immediately turned to him.
Tao looked at Lu Xuanxin and said seriously, "Teacher Lu, I don't quite understand your statement about the set A1(N)={n(Nn), 2≤n≤N-2}. Can you explain how it is combined with group theory? I still don't understand it."
Lu Xuanxin nodded slightly, his eyes revealing admiration.
"Okay, then I'll explain this part in detail for everyone." Lu Xuanxin said, and began to explain how group theory is cleverly integrated into the sieve method and introduced the concept of the circle method. Tao Zhexuan listened very attentively, as if he was attracted into a whole new world of mathematics by Lu Xuanxin's words.
"······Therefore, I proposed a new method to solve the problem, which integrates the sieve method, group theory and circle method. I call it the 'circle theory group sieve method'." Lu Xuanxin concluded.
After hearing this, Tao Zhexuan's eyes flashed with amazement, and he sincerely praised: "What a genius idea! I'm afraid only you, Mr. Lu, can come up with such a clever idea! I have no doubts at all!"
After Tao Zhexuan sat down, Professor Bonezhev and others who were originally somewhat skeptical of Lu Xuanxin began to change their attitudes, and the mathematicians around him also showed expressions of sudden enlightenment because of Lu Xuanxin's explanation.
At this time, a professor named Hausen Daiwell, who was sitting in the middle row, stood up. He was a thin old man, and he looked at Lu Xuanxin deeply.
Professor Dai Weier pointed at a certain equation on Lu Xuanxin's blackboard and raised two questions in a sharp tone: "... When G forms a group for the equation x, for any g∈G, gG=Gg=G. What is your intention in using group theory here?"
Facing Professor Dai Wei's questioning, Lu Xuanxin smiled and nodded, then motioned a doctoral student next to her to fetch a small blackboard. She quickly wrote down several formulas on the blackboard and explained the logic and ideas in detail.
"Professor Dai Weil, you should understand now, right?" After Lu Xuanxin finished writing, he turned to Professor Dai Weil and asked.
Professor Dai Weier carefully looked at the contents on the blackboard and nodded: "I understand. Your proof is very rigorous. I have no doubts."
After saying that, Professor Dai Weier also sat back in his seat.
Professor Hausen-Davier stood on the podium, holding a piece of chalk in his hand, and quickly wrote on the blackboard the proof of the Goldbach conjecture. The doctors watching around him frowned, and some shook their heads and sighed. It was obvious that they did not fully understand the professor's derivation. Especially those doctors with a shallow foundation in mathematics were in a daze, and had no idea how the professor solved this eternal problem in mathematics step by step.
Lu Xuanxin, the young female mathematician, stood aside with a sharp gaze, as if she had seen through everything. She knew that the proof of the Goldbach conjecture required not only a deep mathematical foundation, but also rigorous logical thinking and endless patience. It was with these that she finally solved this difficult problem.
Although the doctors around were confused by what was written on the blackboard, they knew in their hearts that what was written on the blackboard must be close to the truth when they saw the determined look in Professor Hausen-Davier's eyes. The Goldbach conjecture, a problem that has troubled mathematicians for hundreds of years, is finally about to have its answer!
At this historic moment, everyone's eyes were focused on Lu Xuanxin on the podium. She was wearing a simple white dress, looking fresh and refined. Her eyes revealed determination and confidence, as if she had already anticipated this moment.
Chairman Nadamus walked onto the stage, his face filled with excitement. He looked around at the mathematicians present and announced loudly: "I am very honored to announce that after everyone's joint review, the Goldbach conjecture has been solved by Dr. Lu Xuanxin!"
This news was like thunder from a clear sky, and all the mathematicians present were deeply moved. They knew that at this moment, they were witnessing an important moment in the history of mathematics. The Goldbach conjecture, a difficult problem that had once daunted countless mathematicians, was finally solved by Dr. Lu Xuanxin!
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