Chapter 496: Legend of the Times
Chapter 496
The ABC conjecture can be said to be one of Ueda's proudest achievements.
At that time, it took him more than five years to write the paper, which was more than 500 pages long.
The paper that proved the ABC conjecture was Ueda's most valuable effort.
While no one can say that his theory is correct, no one has found out that there is a mistake in his theory.
Moreover, in terms of the ABC conjecture, after counting the history, only the method described in his paper is still feasible, and the other ways are all dead ends.
As a result, Ueda Shinichi often considers himself the first person in the field of ABC conjecture.
But now, what did he hear?
The content of Cheng Nuo's academic report is proof of the ABC conjecture!
The first thought that came to Ueda's mind was naturally ridiculous.
How is that possible?!How long has it been?
From Cheng Nuo's proof of BSD's conjecture to now, it will only take six months to complete the calculation.
Isn't it ridiculous to prove the ABC conjecture, which is only slightly less difficult than the seven mathematical conjectures, in six months?
You know, it took him five years to prove the ABC conjecture.
But soon, Ueda Shinichi became afraid.
In six months, it was impossible for Ueda Shinichi to prove the ABC conjecture that such a thing would have happened to any mathematician alive.
But except for one person, that person is Cheng Nuo!
No one can imagine where the real limit of this wicked guy is.
Therefore, anything that seems ridiculous is not impossible to achieve on Cheng Nuo.
Taking a few deep breaths, Ueda Shinichi looked at the stage with red eyes, praying that the facts would not go in the worst direction for him.
If Cheng Nuo just had a proof idea and didn't put it into practice, Ueda Shinichi would still be barely acceptable.
But if Cheng Nuo really proves the ABC conjecture completely, then ......
Ueda Shinichi shook his head, no longer thinking about the horrific consequences.
"Senior Brother......
Ichiro Ida also understood what was happening, and turned his head to look at Shinichi Ueda, his voice trembling slightly with fear.
"Steady, maybe he's just trying to scare us. Ueda Shinichi said in a deep voice.
............
Cheng Nuo stood on the stage, and naturally took in the changes in the faces of the two brothers.
"Alas, don't come, you have to come, I'm helpless!"
Muttering in his heart, Cheng Nuo smiled and began to make an academic report.
"My team and I have been working on the ABC conjecture since May this year. After four months, we finally lived up to expectations and successfully proved the ABC conjecture. Here's how we prove it, so please take a look. ”
I won't go into too much detail about the specifics of the ABC conjecture, but I need to mention that in the ABC conjecture, counterexamples are allowed. In other words, the result of multiplying all prime products of the three numbers A, B, and C does not have to be greater than C. Although counterexamples exist, the number of counterexamples is limited. ”
"Those who have some knowledge of the ABC conjecture may know that the proof process of the conjecture is quite complicated because the ABC conjecture allows for counterexamples. Even the way of checking one by one through supercomputing cannot be implemented. Therefore, my team and I discussed how to transform the ABC conjecture, which itself allows counterexamples, into a conjecture that does not allow counterexamples. ”
Hearing this idea, many mathematicians below were blinded.
Cheng Nuo's idea, although it sounds fanciful, is theoretically feasible.
Once the ABC conjecture is transformed into a conjecture that does not allow for counterexamples, many conventional means can be used to apply to this conjecture.
I am afraid that the difficulty of proof will be reduced to less than half of the original.
But in such a short period of time, have Cheng Nuo and his team really completed this step?
If Cheng Nuo could hear this question, he would definitely give a positive answer.
In the past four months, Cheng Nuo, Zhang Wei and others not only completed the conversion of the ABC conjecture, but also worked overtime to completely prove the converted ABC conjecture!
On the stage, Cheng Nuo stroked his cuffs, picked up the mineral water and took a sip, and continued to tell.
"Look, first of all, we will be very rare for triplets (a, b, c) that generally satisfy a, b, and c to be mutually prime positive integers, and a+b=c, and that there is c 1, and that there is a power of a small prime in the factors of these numbers. ”
"Next, we will replace the product of ABC with ε^(-ω)rad(n) and then use the formula...... So far, the ABC conjecture has been successfully transformed, and this conjecture (1) does not allow any counterexamples. Below, we will prove conjecture (1), which is the specific step......"
As Ueda listened, he wiped the sweat that kept leaving on his forehead with a wet towel.
Cheng Nuo's theories, Ueda Shinichi listened to them word for word.
But the more he listened, the cooler Ueda Shinichi's heart became.
Cheng Nuo's choice to prove the ABC conjecture and the way he proved the ABC conjecture can be said to be two completely different directions.
Cheng Nuo's idea is to simplify complex problems by transforming the conjecture itself.
And himself, based on Abelian geometry, created a completely new set of mathematical theories and mathematical tools to deal with the ABC conjecture.
Although he is confident in his own method, in terms of academic level, it is enough to crush the kind of proof method proposed by Cheng Nuo.
But what makes him uncomfortable is that Cheng Nuo's way is much simpler and clearer than his.
As a result, most mathematicians in the world have no problem understanding Cheng Nuo's proof method.
But what about him......
When will his obscure paper be freed from dust?
Similarly, once Cheng Nuo's proof process was verified correctly by the international mathematical community, the first mathematician to prove the ABC conjecture became Cheng Nuo, not him Ueda Shinichi.
The first and the second, there is a huge gap in the field of mathematics.
The mathematician who was the first to prove the ABC conjecture will be remembered.
But the second ......
Hehe, under the rolling of history, who will remember.
Ueda Shinichi had a feeling that his heart was dead.
Decades of hard work, at this moment, all came to naught.
Before that, when people mentioned the ABC conjecture, the first thing that came to mind was definitely his name Ueda Shinichi.
But in the future, ABC conjecture will become inseparable from Cheng Nuo. As for him, he's just an important character in the backstory.
"Teacher, senior brother......" Ichiro Ida licked his dry lips and opened his mouth with a pale face.
The corners of Ueda Shinichi's mouth were full of bitterness, "Ichiro, we lost." A complete defeat!"
"Cheng Nuo will definitely become a legend of this era, and none of the people who compete with him will be defeated by him. We are just one of them. ”