Free Web NovelChapter 283: Chapter 201: The Relevance and Irrelevance of Prime Numbers!
"For elliptic curves, we can simplify the defined equation module, using the following formula for transformation..."
"We’ll consider the Fourier transform, each modular form will also generate a sequence..."
"Bezout’s theorem tells us that two smooth elliptic curves intersect at nine points. If a third smooth elliptic curve passes through eight of these intersection points, then it must also pass through the ninth point..."
On the podium.
Using blackboard and chalk, and referencing the PPT at his side, Wiles began his lengthy academic presentation.
The initial content of his presentation revolved around ’elliptic curves’. Anyone who had studied the proof process of Fermat’s Last Theorem understood that this was part of the proof process.
This left many people disappointed and somewhat contemptuous of Wiles. frёeweɓηovel.coɱ
More than a decade had passed!
Wiles’ current academic presentations still relied on the research from over a decade ago. In other words, he had not conducted any new research in recent years.
Of course, no one could deny the professionalism and depth of his presentation content. Even after more than ten years, the contents excerpted from the conjecture’s proof process still eluded most people’s comprehension.
Many in the audience listened intently.
Zhao Yi was no different.
Putting aside opinions on Wiles’ character and whether the proof process of Fermat’s Last Theorem was correct, his mathematical prowess truly was extraordinary, especially in the fields of elliptic curves and modular equations.
Zhao Yi had been studying the proof process of Fermat’s Last Theorem. Wiles’ illustrations enlightened him on certain parts that he previously could not understand.
Wiles went on, introducing something new to his presentation.
The turning point of the new content revolved around the root formula of the quintic equation, namely the famous Galois theory. Top mathematicians in the audience sat up and paid close attention.
"Does Wiles have new research?"
"Directly moving into Galois theory isn’t the logical progression of proving the conjecture..."
No one in the audience could grasp what Wiles was trying to prove. From elliptic curves, he transitioned to Galois theory, and from Galois theory, he shifted to the Cardan Formula. Looking at the blackboard filled with formulas, he smirked and glanced at the audience.
The audience members thought that Wiles had taken a break, but Zhao Yi knew that he was being observed.
"Looking at me?"
"Why? Is it to remind me of the gap between us?" Zhao Yi found it amusing.
The reason Wiles looked at Zhao Yi was not to ’show the gap between them’, as there was no comparative basis to begin with. Wiles was the world’s top mathematician, while Zhao Yi was only beginning to gain recognition for proving a mathematical conjecture.
Wiles looked at Zhao Yi because his upcoming content was relevant to what Zhao Yi was studying.
He did it intentionally.
After Zhao Yi registered, Wiles knew they were assigned to the same venue. Recalling the embarrassing incident when he lost face in public, he felt angry. Determined to regain his reputation, he specifically asked the organizer to schedule his presentation before Zhao Yi’s.
Afterward, he sequestered himself.
For the past couple of days, Wiles had been studying the ’three-dimensional tremor waveform diagram’. He had studied it thoroughly before and found a way to simplify problem solving. However, he felt there was more to discover and continued to research it further.
His aim was simple: to discuss the three-dimensional tremor waveform diagram thoroughly in his presentation.
And then his opponent would have nothing to say!
Wiles was confident that Zhao Yi would present on the ’three-dimensional tremor waveform diagram’, as it was his signature research.
Just imagine...
At the time of the presentation, Wiles had covered the content related to the ’three-dimensional tremor waveform diagram’, leaving Zhao Yi embarrassed as he found his topic had been addressed in the previous presentation.
The feeling of satisfaction surged in Wiles as he segued into discussing how to solve the ’three-dimensional tremor waveform diagram’ problem.
A few people in the venue looked at Zhao Yi, realizing that Wiles was targeting him and that Zhao Yi would likely present on the ’three-dimensional tremor waveform diagram’.
While this tactic was somewhat low, no one could complain as long as genuine knowledge was shared.
Sitting beside Zhao Yi, Liu Hemin worriedly asked, "Your presentation..."
"It’s okay, don’t worry,"
Zhao Yi replied with a smile, "I prepared two presentations. If I can’t present on the waveform diagram, I’ll use the other one."
"Another one?"
"You’ll know when I go on stage."
Zhao Yi sighed lightly, thinking that his opening line should be, "Since the content of the waveform diagram has already been covered, I have chosen the other one which hasn’t been published yet..."
Well, he had no other option!
Zhao Yi looked at Wiles on stage with a sense of helplessness.
Wiles, keeping an eye on Zhao Yi, noticed a change in his expression and felt more vigorous. He continued discussing the solution to the ’three-dimensional tremor waveform problem’. Through formula transformation and graphic research, he’d found a simplified solution method.
"This method can reduce the calculation volume by tens of times!"
"It will be easier to get the final prime number solution..."
"We can also set a threshold range for a large number and carry out the solution within this range."
The last point was particularly creative.
’Large numbers’ refers to theoretical numbers surpassing computational capabilities, calculation of which has always been complex, primarily because it required manual calculation; a computer could not be of any help.
Wiles introduced a substitution method, determining whether a solution exists in the range of a large number interval through a ’three-dimensional tremor waveform graph’. If it does exist, it can be calculated and the final solution can be found.
Of course, this is theoretically speaking.
Some narrow intervals can indeed be judged, but if the interval range is too large, the calculation volume required for solving becomes extraordinarily enormous. It is simply unnecessary to waste a lot of effort to solve for a solution.
During the time he heard about this, Zhao Yi could not help but give a mental thumbs up to Wiles. Wiles’ research on the ’three-dimensional tremor waveform graph’ was extremely deep and thorough, almost completely on par with his own work.
Wiles’ approach to solving the ’three-dimensional tremor waveform graph’ was already approaching the ’simplest’ method.
Even the process of solving large numbers in intervals was something he had never thought of.
But actually, it didn’t matter.
’Not thought of’ does not mean ’cannot be done’. There was no need in the first place. Wiles probably mentioned all this simply to demonstrate his understanding of the ’three-dimensional tremor waveform graph’.
After discussing the solving of the ’three-dimensional tremor waveform graph’, Wiles began to conclude. He stated that the process of solving the ’three-dimensional tremor waveform graph’ was very consistent with the solution of N-level equations, and once again questioned the consistency between the solution of the ’three-dimensional tremor waveform graph’ and the Riemann Conjecture.
This continued the ’conspiracy theory’ setting.
Wiles had mentioned before that the ’three-dimensional tremor waveform graph’ might be part of a conspiracy released by the Eastern world, as though he wished to provide proof for this conspiracy.
His logic is as follows, "’The ’three-dimensional tremor waveform graph’ covers the prime number solution of the ’Riemann Conjecture’, but in reality, there is no direct correlation between the coverage of the prime number solutions of both!"
Covering, yet unrelated.
Wiles gave an interesting example to illustrate his point. His example was somewhat complex and sounded quite impressive. Simply summed up, it was as such:
For instance, the two solutions were 1, 2, 3 and 1, 2, 3, 4. It might appear that the latter covers the former.
In reality, the two solutions were unrelated.
But if you change it to 1, 2, 3 and 0.5, 1, 1.5, 2, 2.5, 3, the situation is entirely different. This is a genuine extension of the solution.
This statement can be deemed as both correct and incorrect.
Among the audience, some people agreed with this view, as it had no logical issues. However, it was also incorrect, since prime numbers supposedly don’t follow any pattern.
The prime number solution sought from the extension of the Riemann Conjecture to the three-dimensional tremor waveform graph might have a pattern. Yet, because we do not know the rule of prime numbers, the pattern naturally cannot be found.
"Hoo-la-la~"
Before Wiles finished his report, a wave of discussion had already started beneath the stage.
Meanwhile, Zhao Yi was stupefied.
He had always been considering the feedback from the Supervision Law regarding the solution hint of the ’three-dimensional tremor waveform graph’. After hearing Wiles’ explanation, he suddenly had a moment of enlightenment.
Yes!
The relevance and irrelevance of the prime number solution!
Perhaps...
It’s just maybe...
"Does the ’three-dimensional tremor waveform graph’ have another, more related series of prime number boundaries than the Riemann Conjecture?"
As soon as this idea appeared in his mind, Zhao Yi immediately applied the Causality Law, and received an affirmative answer. With his continuous research on time, added to Wiles’ just-concluded report, all conditions were met, and he began to deduce in his mind.
"Connection Law!"
"Supervision Law!"
"Causality Law!"
He frequently used these three capabilities, replenishing energy immediately with Study Coin when he found himself lacking, and even directly used a Research Coin.
What Wiles would say next was no longer important.
Zhao Yi remained in his seat, took out his notebook, and began complex calculations.
From the perspective of others, it looked like he was doing calculations. Liu Hemin thought so. Zhao Yi would occasionally write a formula or draw a sketch in his notebook, but there was no clear connection between them.
"What is he doing?" Liu Hemin couldn’t understand at all, but he was sure that Zhao Yi was seriously thinking about something.
When Wiles stepped down from the stage, Zhao Yi was still deep in thought. Many people looked over, and Wiles also looked at him carefully. Wiles hoped to see a ’frustrated’ expression on his face. But, Zhao Yi was only half-bending his head, writing and drawing on a piece of paper.
"Is he pretending?"
"Perhaps he doesn’t dare to face it?"
"He must have learned his lesson now, right? Genius as he may be, with his ability to quickly review papers, there’s still a vast difference between us in mathematics. Your research can be easily debunked!"
Wiles laughed smugly.
If it were any other occasion, after delivering a presentation at a mathematics conference, he would definitely leave to rest immediately.
Those amateurish mathematical presentations were not worth listening to.
But now Wiles did not leave.
Engaging with the mathematicians in the front row, he casually occupied an empty seat. The original owner of the seat simply moved to a further distance.
Well, that can’t be helped!
Who wouldn’t give up their seat to the famed Wiles? If the word got out, it might actually increase their prestige, right?
