It took him a whole year.
Including the preparation work, it was more than that.
This was probably the most time-consuming problem that Lu Zhou had ever solved in his life.
In order to find a solution to the zero-point distribution problem, he tried almost all possible research ideas. In the end, he chose to prove the critical band and created the hyperelliptic curve analysis method to prove the quasi Riemann's conjecture.
In order to restrain the erratic critical zone to the critical line, he had tried almost every method he could think of.
However, compared to the effort, the return was also huge.
It was not an exaggeration to say that all of the problems he had solved and all of the honors he had received in the field of mathematics could not compare to this proposition.
For example, if Riemann's conjecture was true, then odd numbers greater than 7 could be expressed as the sum of three prime numbers. Anyone with a little understanding of number theory would know that this was actually the weak form of Goldbach's conjecture.
It wasn't until 2013 that this weak form was proven by Professor Harald Helfgott, a researcher at the École Normale Supérieure in Paris. He used the Fourier analysis method on a function on the circumference and published two theses in Inventiones Mathematicae.
This was only one of the powers of Riemann's conjecture.
Almost half of the research results in the field of analytic number theory in the entire twentieth century were based on the two hypotheses of Riemann's conjecture and Riemann's conjecture.
This included the core theory of number theory, the prime number theorem. If Riemann's conjecture was true, the formula π (x) = Li (x) + O (xe {-1/15 √ lnx}) could be extended to π (x) = Li (x) + O (√ xlnx), which was more concise and accurate.
This result was made by Koch in 1901 under the optimistic circumstances of Riemann's conjecture. It was only one of the fruits of Riemann's conjecture.
There were many other similar results.
Therefore, with the terrifying extensibility of the Riemann zeta function, even a "conjecture is correct" answer would have a huge impact on the mathematics community.
Even if one ignored the thousands of mathematical propositions that were promoted to mathematical theorems because of Riemann's conjecture, this sentence was still valid.
There was no other reason.
The Riemann conjecture was like a ropeway, with algebra and geometry on both sides.
Once it was proven, there would be hope of connecting these two mountains together.
As for unified algebra and geometry …
This was the closest to the core of mathematics since the birth of mathematics. It was like the Grand Unification of physics.
Even though the development of mathematics was diverse, and there were more and more branches of mathematics, scholars had never really given up on the research of those ancient propositions.
Because it was not only connected to the most ancient past of mathematics, but it also illuminated the glorious and eternal future of mathematics!
Therefore, in terms of mathematics itself, the Riemann conjecture was undoubtedly the most valuable proposition in the Millennium Prize Problems. Even the Navier – Stokes equation's existence of a solution couldn't compare.
There was no comparison at all …
…
After asking Professor Holden to get him some food, Lu Zhou was sitting at the podium. He wasn't in a hurry. He stared at the whiteboard and quietly waited.
Professor Holden, who was standing at the door, didn't disturb him. After he told his assistant to go to the cafeteria, he began to stare at the whiteboard like Professor Fefferman.
Lu Zhou had to admit that it was very difficult to understand the content. Even the first part was difficult.
Professor Fefferman was the same. He frowned and seemed to be thinking about something.
Lu Zhou didn't pay attention to the two people. He didn't even notice the changes in their expressions. He looked at the whiteboard and waited quietly.
The completion of the system mission was very simple. As long as the proof was complete and the research results were public, it would be enough.
He had already verified this when he proved Goldbach's conjecture.
Xiao Ai finished organizing the thesis according to Lu Zhou's writing habits and uploaded it to arXiv. Then, he heard the familiar voice in his heart.
His heart, which had been hanging in his throat, finally calmed down.
Even though this was expected …
Even though the system recognized it, it was still on schedule.
After hearing the news, Lu Zhou was completely relieved.
Finally.
This mountain was finally flattened by him!
With a soft murmur, he opened his eyes in the next moment and found himself in the pure white System Space.
[Congratulations, User, for completing the reward mission!
[Evaluation: The throne of the old era has been razed to the ground. The human civilization that conquered nature once again conquered their own minds. The sparks ignited on the vast plains had already ignited their desire to welcome the next era. Although there is still a long way to go in this boundless cold night …]
[Requirements: Prove the Riemann conjecture within three years! (Completed)]
[Mission reward: 10,000 general points, two million mathematics experience points, a "legendary" mission card.
[S evaluation reward: Double general points reward.]
The updated characteristic panel quickly appeared in front of Lu Zhou.
【
A. Mathematics: Level 9 (-/???)
B. Physics: Level 7 (113,215/1.2 million)
C. Biochemistry: Level 6 (10,000/600,000)
D. Engineering: Level 6 (0/600,000)
E. Materials science: Level 6 (163,000/600,000)
F. Energy science: Level 4 (0/200,000)
G. Information science: Level 4 (0/200,000)
General points: 24335
】
The empty progress bar was instantly filled up. The two million experience points allowed Lu Zhou's mathematics level to go from level 8 to level 9. He was only one step away from level 10. The 20,000 general points directly increased Lu Zhou's general points inventory by an order of magnitude.
Surprisingly, after leveling up to level 9 in mathematics, the experience bar was removed. Not only that, but the experience point cap also disappeared. Instead, it was replaced by an unknown question mark.
However, Lu Zhou didn't have the time to care about this at the moment. He skipped the mission reward and the "legendary mission card" and looked at the random mission column. He selected the random mission and selected the draw.
A light blue light swept across the holographic screen.
When Lu Zhou saw the three random missions, his wildly beating heart suddenly sank to the bottom of the valley.
After going silent for a while, he took a deep breath and spoke with a trembling voice.
"System, how many general points do I need to solve cancer?"
There was no response.
And this was almost predictable.
None of the Random Missions related to cancer appeared, which meant that this problem was far beyond his capabilities. Otherwise, there was no reason for the system to not give him a Random Biochemistry Mission when he had satisfied the two criteria.
At the same time, for problems that exceeded his current level, he needed to spend more general points to solve them. For problems that exceeded two levels, the system wouldn't even show the amount of general points he needed to spend.
Because according to the system's judgment rules, this was a problem that couldn't be solved no matter what.
After all, the general points system was just an abstract way of accelerating scientific research; it wasn't a reward system.
This was equivalent to using general points to compensate for the time he should have spent on this research project.
The prerequisite for him to be able to use Skill Points was that this problem could be solved by him even if he didn't use Skill Points or even without the help of the system's interference.
Back then, he also consulted the system about controllable nuclear fusion, but at least the system gave him an astronomical number, which gave him hope of solving the problem separately.
But cancer …
Obviously, from the system's point of view, human civilization hadn't even fully understood the pathogenesis of cancer, so there were still a few branches of the technology tree between them and cancer. It didn't have the conditions to solve this problem in a short period of time.
"Looks like the first option won't work."
After realizing this, Lu Zhou went silent for a while. He reached out his hand and turned off the system panel.
It was a shame.
But he wasn't discouraged.
From an academic point of view, whether it worked or not was an important piece of information, and it corresponded to two completely different choices.
If even the system from the future thought that cancer wasn't a problem that could be solved by human civilization's current level of technology …
He already knew what to do.
…
After leaving the system space, a warm feeling surged into his brain and spread across his scalp.
The feeling of leveling up from level 8 to level 9 was ten times stronger than leveling up from level 7 to level 8.
However, this strong feeling didn't cause him to suddenly faint. Instead, it helped him recover a bit.
It seemed like on this path of becoming stronger, not only was his ability to think about specific disciplines and specific problems strengthened, but his brain's endurance was also strengthened.
Of course, at the same time, the hunger in his stomach was getting stronger.
Fortunately, he left the system space just in time. The second he opened his eyes, Professor Holden's assistant walked into the lecture hall with two hotel staff members.
In addition to two plates of bacon sandwiches and vegetable salad, there was also a cup of steaming hot coffee.
Perhaps because he looked a little unkempt, the Corinthia Hotel staff members were very considerate and brought him a portable mirror, a shaver, and a washbasin.
Unfortunately, Lu Zhou obviously didn't have the time to eat these things.
He swept away all the food on the plate like a tornado. After burping, he took the time to take a sip of coffee to moisten his throat so that he wouldn't choke to death on the food.
Professor Holden didn't look impatient at all. Even though there was a mountain of work waiting for him, he still patiently waited for Lu Zhou to finish his coffee. He picked up the shaver and shaved in front of the mirror. He then asked his first question.
"Can you … explain it to me in detail?"
Lu Zhou answered Professor Holden's question in a concise manner.
"I can, but I'm afraid not now. I have to meet someone later. I've already uploaded the thesis to arXiv. If you're interested, you can download it first. "
Professor Holden's expression changed as he asked, "You've already uploaded the paper?"
"Yeah." Lu Zhou nodded and looked at the silver watch on his left hand. He said, "It should have been uploaded five minutes ago."
…
(Thank you, Book Friend, "Go to hell" Alliance Master for the tip ~ ~ ~ ~)
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