From small town scholar to chief scientist
Chapter 154 Proving Bill's Conjecture
Chapter 154 Proving Bill's Conjecture
After an unknown amount of time, Zhou Yi was awakened by a sudden knock on the door.
Zhou Yi woke up in a daze, then forced himself to turn on the phone, walked slowly to the door, opened the door, only to find that it was Qiu Chengtong and Xiao Wanyi.
Zhou Yi looked at them with some doubts, and said:
"What's the matter, is there something urgent?"
Qiu showed a concerned tone and said:
"Wanyi said that you haven't gone out for two days, you haven't eaten or drank, and you can't get through the phone. I'm afraid that something will happen to you, so I came to see you."
Zhou Yi looked at Qiu and Xiao Wanyi, and said:
"It's okay, the inspiration came too fast, and there was no time to eat."
Having said that, Zhou Yi's stomach made a sound, and he felt dry mouth.
Qiu nodded and said:
"It's true that there can't be too many inspirations in one's life, you have to catch them when they come, but you must also take care of your body. The first element of scientific research is to have a good body.
Clean up your image, go out for a meal, and take a good rest. "
After Qiu finished speaking, he didn't say anything else, but left straight away. This apprentice was enough for him to worry about.
As for what Zhou Yi's inspiration was and what great achievements he made, Qiu would not worry about it. At his age, he didn't have any achievements.
Xiao Wanyi on the side handed Zhou Yi an insulated lunch box and said:
"Xia Xue asked me to call you from the cafeteria. She said that you didn't answer her video call for two days, and she was afraid that something might happen to you."
After finishing speaking, he left without waiting for Zhou Yi's reaction.
How did they know each other?
Zhou Yi was a little puzzled, but he took out his phone and looked at it, and it was indeed out of battery.
Zhou Yi poured a cup of hot water from the water dispenser and drank it before he felt a lot more refreshed. Is the side effect of the first inspiration so great?
Zhou Yi thought.
Not long after, Zhou Yi sent a message to Xia Xue after his mobile phone was powered on.
Xia Xue replied almost instantly.
After confirming that it was Xia Xue's request, Zhou Yi opened the insulated lunch box and ate the millet porridge stewed with pumpkin.
While eating, Zhou Yi looked at the projected papers, and under the control of Peony, he was scrolling at a page-turning speed that Zhou Yi was accustomed to.
More than half of Zhou's analysis method has been completed, and some details need to be added to complete the first version of Zhou's analysis method.
Zhou Yi said while eating:
"Introduce baker's theorem as a lemma..."
Under the premise of ignoring Shinichi Mochizuki's thesis in studying the ABC conjecture, one of the two current mainstream ideas is to gradually approach the ABC conjecture from the refinement of Baker's theorem, which is also the inspiration from Zhou Yi's previous research on the ABC conjecture.
As for another idea, start from the definition,
For integers a, b, c satisfying a+b=c, gcd(a, b)=1; define L=L(a, b, c)=[logmax(丨a丨,丨b丨,丨c丨)]/log(rad(abc))],
The main research here is the upper bound of L.
As Qiu and Bill Carr said, no work is done in vain. A tool for studying the ABC conjecture was finally used by Zhou Yi to prove Bill's conjecture.
Unknowingly, the time went from morning to afternoon, and it didn't end until Zhou Yi was very hungry.
After Zhou Yi washed the insulated lunch box in his hand, he took it to the office and returned it to Xiao Wanyi, then packed a meal and went back to the dormitory to continue writing.
With the help of Peony, the speed is so fast.
While Zhou Yi dictated, Peony not only automatically generated the papers needed by Zhou Yi, but also projected them in the room like a movie.
Of course, all of this is based on the fact that Zhouyi's thinking is very mature and a lot of preparatory work and research have been done before, so that it can be written so smoothly.
If there is no preparation at all, pure land reclamation, you have to use manuscript paper to write and draw.
This time lasted for another two days before Zhou Yi finally perfected the first generation of Zhou's analytical method.
As for whether there is a second generation, Zhou Yi doesn't know, but he feels that there can be.
Because the practicability of this tool is not very helpful for the ABC conjecture, there may be a better research direction for the rest of the number theory conjectures.
This is Zhou Yi's idea. When the paper is published, what will be used by others? I don't know.
Zhou Yi let out a long breath, then took his mobile phone and went to the supermarket to buy a lot of rice, oil, vegetables and meat.
Prepare for a complete retreat.
100 million magnesium gold, Zhou Yi felt close at hand for the first time.
As for whether Zhou Yi can cook, one of the necessary survival skills for Bashu men is to be able to cook.
If you can't cook, you can't marry a wife. This is basically a matter of word of mouth.
After everything was ready, Zhou Yi sent a message to his teacher, Xia Xue, Bill Carr and others,
Then began to conquer Bill's conjecture day and night.
This is the first time that Zhou Yi has overcome a world-class problem with his own efforts, and Zhou Yi's excitement can be imagined.
Looking at the message Zhou Yi sent to him, Qiu Chengtong couldn't help sighing,
Maybe this is the passion of young people, it's nice to be young.
After Birkar saw the news, he thought it was reasonable.
Young geniuses don't think about lying on the credit book and waiting to die, even if it is Zhou's geometry of Zhouyi,
Many famous theorems such as Kepler's Zhouyi Theorem and Newton's Zhouyi Theorem are enough to make Zhouyi famous in the history of mathematics, but Zhouyi also chose to continue to develop.
This is the charm of mathematics, and this is what an enterprising scholar should do.
This is the deep love for mathematics.
This is true of Zhou Yi, and so are they.
Zhou Yi didn't know when he started to study the ABC conjecture, it's been a long time anyway.
Until today, Zhou Yi felt that he had a great understanding of number theory when he created Zhou's analytical method.
Zhou Yi said eloquently:
"X_0(N_E)→E, let φ_e be one of the parameters of the minimum degree..., we have 57 formulas:
deg(φ_e)=c(N_E)^(1+0(1)),. . .
By Theorem 5, Theorem 7, Lemma [-], Lemma [-]. . .
We can know that x^p+y^q=z^r, there is no positive integer solution satisfying the condition (x, y, z)=1, p, q, r>2.
That is to say, if the equation x^p+y^q=z^r has a positive integer solution, then x, y, and z must have common factors.
Proof! "
When Zhou Yi finished his last sentence, a thesis was fully formed, and Peony tactfully showed the whole thesis from the beginning.
Zhou Yi looked at it and checked for mistakes.
This paper has a total of more than 50 pages, which is much more streamlined than Wiles' paper of more than 200 pages.
It is mainly the analytical method of Zhouyi, which occupies half of the space.
Zhouyi has developed a habit of checking every paper after writing it two or three times.
This is taking responsibility for your own results.
In the next few days, Zhou Yi had a very comfortable life. He only needed to run every morning, listen to music, and check his thesis.
It took three days in a row before Zhou Yi was sure that, at least in his own opinion, there was nothing wrong with the proof of Bill's conjecture.
Subsequently, Zhou Yi directly contributed to the journal of the London Mathematical Society.
And hang up my paper on arXiv.
Brothers who are interested in studying the ABC conjecture or know the ABC conjecture can read "It's as easy as the abc conjecture;" "The ABC Conjecture Home Page."
In addition, the opportunity to make a fortune was given to the brothers a few days ago, Bill guessed, a million magnesium gold, after the challenge, remember to give the author a full subscription.
(End of this chapter)
After an unknown amount of time, Zhou Yi was awakened by a sudden knock on the door.
Zhou Yi woke up in a daze, then forced himself to turn on the phone, walked slowly to the door, opened the door, only to find that it was Qiu Chengtong and Xiao Wanyi.
Zhou Yi looked at them with some doubts, and said:
"What's the matter, is there something urgent?"
Qiu showed a concerned tone and said:
"Wanyi said that you haven't gone out for two days, you haven't eaten or drank, and you can't get through the phone. I'm afraid that something will happen to you, so I came to see you."
Zhou Yi looked at Qiu and Xiao Wanyi, and said:
"It's okay, the inspiration came too fast, and there was no time to eat."
Having said that, Zhou Yi's stomach made a sound, and he felt dry mouth.
Qiu nodded and said:
"It's true that there can't be too many inspirations in one's life, you have to catch them when they come, but you must also take care of your body. The first element of scientific research is to have a good body.
Clean up your image, go out for a meal, and take a good rest. "
After Qiu finished speaking, he didn't say anything else, but left straight away. This apprentice was enough for him to worry about.
As for what Zhou Yi's inspiration was and what great achievements he made, Qiu would not worry about it. At his age, he didn't have any achievements.
Xiao Wanyi on the side handed Zhou Yi an insulated lunch box and said:
"Xia Xue asked me to call you from the cafeteria. She said that you didn't answer her video call for two days, and she was afraid that something might happen to you."
After finishing speaking, he left without waiting for Zhou Yi's reaction.
How did they know each other?
Zhou Yi was a little puzzled, but he took out his phone and looked at it, and it was indeed out of battery.
Zhou Yi poured a cup of hot water from the water dispenser and drank it before he felt a lot more refreshed. Is the side effect of the first inspiration so great?
Zhou Yi thought.
Not long after, Zhou Yi sent a message to Xia Xue after his mobile phone was powered on.
Xia Xue replied almost instantly.
After confirming that it was Xia Xue's request, Zhou Yi opened the insulated lunch box and ate the millet porridge stewed with pumpkin.
While eating, Zhou Yi looked at the projected papers, and under the control of Peony, he was scrolling at a page-turning speed that Zhou Yi was accustomed to.
More than half of Zhou's analysis method has been completed, and some details need to be added to complete the first version of Zhou's analysis method.
Zhou Yi said while eating:
"Introduce baker's theorem as a lemma..."
Under the premise of ignoring Shinichi Mochizuki's thesis in studying the ABC conjecture, one of the two current mainstream ideas is to gradually approach the ABC conjecture from the refinement of Baker's theorem, which is also the inspiration from Zhou Yi's previous research on the ABC conjecture.
As for another idea, start from the definition,
For integers a, b, c satisfying a+b=c, gcd(a, b)=1; define L=L(a, b, c)=[logmax(丨a丨,丨b丨,丨c丨)]/log(rad(abc))],
The main research here is the upper bound of L.
As Qiu and Bill Carr said, no work is done in vain. A tool for studying the ABC conjecture was finally used by Zhou Yi to prove Bill's conjecture.
Unknowingly, the time went from morning to afternoon, and it didn't end until Zhou Yi was very hungry.
After Zhou Yi washed the insulated lunch box in his hand, he took it to the office and returned it to Xiao Wanyi, then packed a meal and went back to the dormitory to continue writing.
With the help of Peony, the speed is so fast.
While Zhou Yi dictated, Peony not only automatically generated the papers needed by Zhou Yi, but also projected them in the room like a movie.
Of course, all of this is based on the fact that Zhouyi's thinking is very mature and a lot of preparatory work and research have been done before, so that it can be written so smoothly.
If there is no preparation at all, pure land reclamation, you have to use manuscript paper to write and draw.
This time lasted for another two days before Zhou Yi finally perfected the first generation of Zhou's analytical method.
As for whether there is a second generation, Zhou Yi doesn't know, but he feels that there can be.
Because the practicability of this tool is not very helpful for the ABC conjecture, there may be a better research direction for the rest of the number theory conjectures.
This is Zhou Yi's idea. When the paper is published, what will be used by others? I don't know.
Zhou Yi let out a long breath, then took his mobile phone and went to the supermarket to buy a lot of rice, oil, vegetables and meat.
Prepare for a complete retreat.
100 million magnesium gold, Zhou Yi felt close at hand for the first time.
As for whether Zhou Yi can cook, one of the necessary survival skills for Bashu men is to be able to cook.
If you can't cook, you can't marry a wife. This is basically a matter of word of mouth.
After everything was ready, Zhou Yi sent a message to his teacher, Xia Xue, Bill Carr and others,
Then began to conquer Bill's conjecture day and night.
This is the first time that Zhou Yi has overcome a world-class problem with his own efforts, and Zhou Yi's excitement can be imagined.
Looking at the message Zhou Yi sent to him, Qiu Chengtong couldn't help sighing,
Maybe this is the passion of young people, it's nice to be young.
After Birkar saw the news, he thought it was reasonable.
Young geniuses don't think about lying on the credit book and waiting to die, even if it is Zhou's geometry of Zhouyi,
Many famous theorems such as Kepler's Zhouyi Theorem and Newton's Zhouyi Theorem are enough to make Zhouyi famous in the history of mathematics, but Zhouyi also chose to continue to develop.
This is the charm of mathematics, and this is what an enterprising scholar should do.
This is the deep love for mathematics.
This is true of Zhou Yi, and so are they.
Zhou Yi didn't know when he started to study the ABC conjecture, it's been a long time anyway.
Until today, Zhou Yi felt that he had a great understanding of number theory when he created Zhou's analytical method.
Zhou Yi said eloquently:
"X_0(N_E)→E, let φ_e be one of the parameters of the minimum degree..., we have 57 formulas:
deg(φ_e)=c(N_E)^(1+0(1)),. . .
By Theorem 5, Theorem 7, Lemma [-], Lemma [-]. . .
We can know that x^p+y^q=z^r, there is no positive integer solution satisfying the condition (x, y, z)=1, p, q, r>2.
That is to say, if the equation x^p+y^q=z^r has a positive integer solution, then x, y, and z must have common factors.
Proof! "
When Zhou Yi finished his last sentence, a thesis was fully formed, and Peony tactfully showed the whole thesis from the beginning.
Zhou Yi looked at it and checked for mistakes.
This paper has a total of more than 50 pages, which is much more streamlined than Wiles' paper of more than 200 pages.
It is mainly the analytical method of Zhouyi, which occupies half of the space.
Zhouyi has developed a habit of checking every paper after writing it two or three times.
This is taking responsibility for your own results.
In the next few days, Zhou Yi had a very comfortable life. He only needed to run every morning, listen to music, and check his thesis.
It took three days in a row before Zhou Yi was sure that, at least in his own opinion, there was nothing wrong with the proof of Bill's conjecture.
Subsequently, Zhou Yi directly contributed to the journal of the London Mathematical Society.
And hang up my paper on arXiv.
Brothers who are interested in studying the ABC conjecture or know the ABC conjecture can read "It's as easy as the abc conjecture;" "The ABC Conjecture Home Page."
In addition, the opportunity to make a fortune was given to the brothers a few days ago, Bill guessed, a million magnesium gold, after the challenge, remember to give the author a full subscription.
(End of this chapter)
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