Chapter 65 Can you do it? I will give you a bonus of 500,000 yuan! (Please subscribe, please vote monthly)
In Yujiang Province, Xiaozhou City, Yujiang University, in Zijin Xiyuan Community, not far from Zijin Campus, Professor Xue Song from the Institute of Mathematics and Sciences of Yujiang University was walking in the community.
As the youngest doctoral supervisor at Yujiang University and one of the youngest researchers in the Hundred People Program, Professor Xue Song, who is only 38 years old, can be said to have a bright future. It is really not said that he can achieve his current achievements entirely because of his good family background. In fact, Xue Song is a young genius.
After receiving nine years of compulsory education in China, he was sent by his parents to the other side of the ocean to attend Princeton International Mathematical and Science School. In the first year of his trip, he won the first prize of AMC12 and was invited to participate in AIME. After achieving extremely high results in AIME, he even achieved good results in UO.
Originally, he also received an invitation to join the IMO that year, but because of his parents' opposition and he felt tired of the exam, he simply chose to give up his qualification to represent the United States in the IMO.
But even so, he was directly admitted to the School of Mathematics of Princeton University. He completed his undergraduate studies in three years and was valued by Manjur Balgava, a famous mathematics professor in Princeton. He became a student of this famous number theorist and began to study for master's and doctoral studies.
Manjur Balgava's main research direction is higher-order number theory and algebraic geometry, and he once won the Fields Medal for his contributions in this area.
Xue Song followed this tutor to mainly engage in the study and research on integer theory, covering a wide range of topics such as quadratic forms to elliptic curves. His doctoral thesis is about the deep-seated results of integer distribution in integer theory. After graduating from his doctoral degree, Xue Song chose to return to China for various reasons. He joined Yujiang University five years ago.
Professor Xue's ability is indeed very outstanding. His peers are still having a headache about how to get through 33. When he was 3, he jumped twice in a row. Not only did he get the title of associate professor, but he also got a quota for the 100-person plan with a paper published in the Mathematics Annual.
It is also a talent that Yujiang University focuses on cultivating in the future. If nothing unexpected happens, it will definitely impact the academician in the future.
Mathematicians, especially those who study number theory, are definitely not as simple as walking. The brain usually does not rest, but thinks about some messy things. Suddenly, the phone in the pocket suddenly turns on the continuous vibration mode.
Xue Song stopped thinking, took out his mobile phone, and found that the graduate student group under his command was directly furious. After a few students @ him, they discussed it directly in the group. "Boss, the question you came up with in the Algebra and Number Theory Tree House was really solved by that novices! Go and have a look!"
"Yes, boss, that rookie really came up! The answer is still correct. We have just verified it." "It's amazing. What kind of rookie is this? Is this a joke about which big shot is joking with us?"
"Although I also think it's very likely that someone is joking with everyone, to be honest, do you think those words can be written by a big man? You also call yourself a little master? If the identity is exposed, it will be so embarrassing!"..
Xue Song probably browsed the content of the chat in the group, but did not reply in the group, but turned around and walked home. Although he could log in to the forum directly on his mobile phone, if the question he asked was involved, it would be more convenient to use a computer.
Of course, he knew how big the solution would be if someone really found the solution to the problem. At least manual calculations were tiring and he had to go to the computer.
In fact, he chose to bubbling on the forum and gave such a question because of a small breakthrough in his recent research. Simply put, he found a method to prove that a type of equation similar to the type he proposed has integer solutions. This is also a paper he has submitted to Acta Mathematica, "A Class of Diophantine Equations Ari etric Fractional s: Existence of Integer Solutions". The main content of the paper is to prove the existence of integer solutions of a class of Diophantine equations of symmetric fractions.
The equation he gave is one of the more representative of this type of equation. Here I need to explain a little knowledge about mathematics to you.
Proving that a certain type or even an equation has integer solutions is not the same as directly finding numerical solutions in mathematics.
The former uses mathematical reasoning and proof skills to confirm that this type of equation has and has at least one integer solution through the analysis of equation structure and the use of mathematical induction. The solution is to calculate the specific numerical solution of the equation through specific calculation steps, such as using the merging of similar terms, shift terms, factorization and other equation solutions to calculate the specific numerical solution of the equation.
In other words, although Xue Song has determined that this equation has an integer solution, he actually doesn't know what the numerical solution is. The only thing that can be determined is that this numerical value is very huge! In fact, the Diopiantu equation is an unsolved problem in the field of number theory.
For example, the Fermat conjecture is one of the most famous Diophant equations, and of course it became Fermat's Grand Theorem after it was proved.
At the Second World Mathematician Conference held in Paris, France in 1900, the famous mathematician Hilbert raised a hundred famous questions when giving the opening report. The tenth of them was the original text of the Diophant equation: whether there is a general algorithm that can determine whether there is an integer solution for any given Diophant equation.
In 1970, in response to this tenth question, former Soviet mathematician Yuri Matyeshevi proved that such a general algorithm did not exist, and gave Hilbert a very definite negative answer to the tenth question. But this does not mean that the Diophantu problem has no research value.
In fact, this negative conclusion just proves that the Diophante equation has great complexity in some cases. It can even be said that it goes beyond the scope that traditional algorithms can solve and plays a fundamental and important role in computing theory. Therefore, the Diophante equation is still regarded as one of the world-class problems in number theory, especially in higher dimensions and more complex situations.
Copy the results, bring them directly into the equation and use computer calculations. Given that the equation itself is very simple and the programming work is very fast, the results are verified in less than ten minutes, which is indeed true. For ordinary people, they may think this is an unnecessary move. After all, more than one student in the WeChat group said that it has been verified.
But for a qualified mathematician, the step of self-calculation is naturally impossible to save.
When he threw it to the computer to calculate, Xue Song also roughly scanned the post posted by the novices and the reply below.
To be honest, his students' comments are also pertinent. The text content in this post is indeed not like what a serious academic tycoon can say, even on the Internet.
Especially that sentence... But please don't be angry first. I came to this forum. You old guys will have many opportunities to get angry in the future! I'm afraid that you will be angry now and will not be able to make questions in the future." He felt embarrassed after reading it!
If it's really a big shot, if the name of the forum is exposed in reality, it's the old guy and the uncle... It's so embarrassing that everyone will meet at various meetings in the future, and they will die from the community.
If you are just an ordinary student, you are likely to be a graduate student who has just passed the master's degree and has not officially started studying with your supervisor. Maybe this guy's supervisor told him that there was such a forum and asked him to join in and take a look first, but there was no explanation. Because this guy is obviously not familiar with this forum, and if he knows a little, he probably won't dare to speak loudly about those IDs.
After all, most of the active high-level IDs here are young masters and doctoral supervisors in major universities and research institutes in the field of number theory. It is not an exaggeration to say that they are the backbone figures in this generation of Chinese mathematics.
This kid offended a lot of people with just one word. So the lower part of the comment section was really lively.
Although only more than 100 buildings were built, almost all the active IDs have been blown up during this period.
"Boy, you are so awesome! You have personality and I like it very much, just don't let me know who you are! If you know, I will definitely ask your mentor to come over to let you know how cruel the old guys can be." "Oh, I'm despised! But this time you won! I'll give you a chance to be honest, have you asked someone to help?"
"Whose child is this? He has such a personality! Accept it quickly, don't force me to call each one to ask! It's too strong! It's really better than me!" "I actually calculated it?! Or is it right? Lao Xue, are you kidding us with a small quotation?"
Xue Song curled his lips, feeling speechless.
Is he such a boring person? Besides, when he is young and energetic, he can't say anything about the second grade.
However, as one of the moderators, he immediately retrieved the login IP record of the novices from the background. As expected, it was still the IP of Xingnan Province. It is currently displayed online, but there is no operation.
It seems that the boss who has not studied the Difantu equation is Changju Xingnan Province.
Then this kid is really a graduate student who has not yet signed up for it.
Without wasting time reading other people's replies, Xue Song thought for a moment, clicked on the private chat system of the forum, and sent a sentence to the rookie named Yu Jian Xiaoqian: "I am Xue Song from Yujiang University, can I leave a contact information?" That's right, Xue Song finally became a jealous person.
Although I don’t know whether this Yu Jian Xiaoqian asked his supervisor for help in the process of solving this equation, the ability of this guy to find a numerical solution is enough to show that his mathematical talent is so high. Although the other party is likely to have a supervisor, maybe he only studied for a master’s degree with his supervisor?
I can still win some things in the doctoral stage. And Xue Song is still very confident.
I dare not say anything else, but in the field of Diopantu equations, few people in China can compare with him. And he also believes that since this kid can solve this equation, he must know him. Unfortunately, after the news was sent out, it was like a rock sinking into the sea and there was no response at all.
But his cell phone rang again, and a professor from the School of Mathematics of Yanbei University called. "Hey, Brother Zhiyuan, long time no see."
After answering the phone, Xue Song said hello casually.
"Oh, Lao Xue, we're chatting in the group, why haven't you spoken?" "Oh, I've set up a don't bother for all groups."
"Okay, don't play this with me, tell me, have you taken a new student who is in Xingnan Province?" Xue Song smiled bitterly.
It seems that other people's judgments are similar to his.
"Stop messing around. If it were my students, according to my personality, I had already shown you in the group. Am I still afraid that my good seedlings would be dug away by you?" "Haha, that's right. Do you think it's a newly acquired student of Lao Xiao?"
Xue Song naturally knew that the old Xiao that Weng Zhiyuan mentioned was Professor Xiao Liang from Huaqing University. The topic he applied for last year was about integer theory.
However, the relationship between Xue Song and Xiao Liang is not very good. There is a little bit that doesn’t like each other’s intentions. It’s almost impossible to attack each other. There is no way, mathematicians are also ordinary people. There are people in places where there are worlds, with grudges, love and struggle.
"How do I know? Isn't he right across from your school? Just go and ask him directly?"
"Oh, I just asked casually. A little guy suddenly appeared. He was obviously online and pretending to die and not reply. He was so rude. I know who it is, and everyone criticized him. By the way, I have nothing to do and look at the group. It's been a long time since I've been so lively. Okay, I won't say much, I'll be dead."
Xue Song closed the thread, took a deep breath, but couldn't help but open the WeChat group. Sure enough, the topic in the professor group revolved around this rookie.
Indeed, many people are asking if he has accepted a new disciple, but he doesn't need to answer, because Weng Zhiyuan, who just called, has helped him solve the problem in the group. "I just called and asked, and Lao Xue said that he didn't know this rookie, so he must be his student, otherwise he would have shown up to us."
"That's interesting. You've asked all of you all, but you said you're not their student. Don't say that this guy is still an undergraduate?"
"Impossible? If you are an undergraduate, you are simply talented. You can calculate this kind of problem that is difficult to solve in ten days? Can you have undergraduates in Yanbei Mathematics College reach this level?" "Haha, I think, some children may have the ability, but they will not be able to join this forum for the time being!"
Seeing Weng Zhiyuan saying this shamelessly, Xue Song couldn't help it.
"@Old man, are you sure that the undergraduates of Yanbei Mathematics College can independently solve the numerical solutions of my equations? Yes, there are many similar equations. I will choose five for you Yanbei Mathematics College undergraduates. It is a month-limited. As long as you can solve the numerical solution of an equation, I will personally reward him with 100,000! No upper limit is set! I will solve all five questions, and I will directly reward 500,000!"
"Haha, Lao Xue, am I just a joke? Why are you still anxious? Relieve your breath and relieve your breath. Then again, it is unlikely that undergraduates can get a word. It seems that no one in China has done a lot of research in this area, right?" Weng Zhiyuan changed the topic directly.
Although he is at Yanbei University, he is still a lecturer and is in the stage of either promotion or departure. It is really hard to be serious with a promising professor like Xue Song. "That's right, but you can really try to solve this kind of equation. Since someone can solve it, we should be able to do it too."
"Yes, you can try it!"
Someone started to pull, trying to ease the atmosphere in the group.
However, some people are too lazy to pay attention to these things and are still immersed in the topic of thinking about who the novices are.
"That, you can't be those big guys, right? No, they shouldn't be able to say that kind of thing with their status! And everyone respects them very much." With this sentence, the group gradually became colder.
But the question was not solved, and Xue Song also put down his phone. He really wanted to know who solved this equation in just ten days. He just went to the forum again, and there was still no news for private messages.
No matter who this guy is, it's too rude!
Chapter completed!