An entire year of research.
Including the preparation and foundation work, it was more than a year’s worth.
This was probably the longest amount of time and energy Lu Zhou spent on a single problem.
In order to find a solution to the zero point distribution, he tried almost every single research method. In the end, he chose a proof based on the idea of critical line convergence and used the hyperelliptic curve analysis method to prove the Quasi Riemann’s hypothesis.
In order to find the critical band line, he tried almost every method he could think of.
Fortunately, it was all worth it.
It wasn’t an exaggeration to claim that this conjecture was worth more than all of his mathematics research combined.
If Riemann’s hypothesis was true, then any odd number greater than 7 could be expressed as the sum of three prime numbers. Anyone that knew a little about number theory would know that this was the weaker form of Goldbach’s conjecture.
This weak conjecture was proven in 2013 by Professor Helfgott, a researcher at the École Normale Supérieure. He used a Fourier analysis method and published his research in one of the top four mathematics journals.
And this was just one of the powers of proving Riemann’s hypothesis.
Almost half of the research in the field of analytic number theory throughout the twentieth century was based on the assumption that Riemann’s hypothesis was true.
This result was proven by H.Von in 1901 under the assumption that Riemann’s hypothesis was true.
There were many cases like this.
Therefore, the proof of the Riemann zeta function zero distribution was like dropping a nuclear bomb on the mathematics community.
Even ignoring the thousands of propositions that now became theorems, Riemann’s hypothesis still made a huge impact on the mathematics field.
There was only one reason.
Riemann’s hypothesis was like a bridge that connected the two mountains—algebra and geometry.
Now, the two mountains were connected.
Unifying algebra and geometry…
This was the ultimate proposition of mathematics, similar to the unified field theory.
Even though mathematics was a diverse field with many branches, scholars had never given up on studying ancient propositions.
Because ancient propositions shined a light on the future of mathematics!
Therefore, in the purest mathematical sense, Riemann’s hypothesis was one of the most valuable Millennium Prize Problems. It was far more complex than the Navier–Stokes equations.
They weren’t comparable at all…
…
After asking Professor Holden to get some food, Lu Zhou continued to sit on the lecture table. He stared intently at the whiteboards.
After Professor Holden told his assistant to get some food at the cafeteria, he and Professor Fefferman stood there and stared at the whiteboard.
Understanding the content written on the whiteboard wasn’t easy, even the first lemma was difficult to understand.
Professor Fefferman was the same. He frowned and began to think.
Lu Zhou didn’t pay attention to the two people. He continued to stare at the whiteboard.
The system mission was simple. He had to complete the proof and release it to the public.
This was exactly what he did when he proved Goldbach’s conjecture.
Xiao Ai had already finished sorting the thesis and had uploaded it to arXiv. He felt a familiar voice in his heart.
The knot in his heart was finally untied.
He knew this was going to happen.
He knew the system was going to accept his proof.
But after hearing this, he was still relieved.
Finally, he finally climbed this mountain!
He opened his eyes and was inside the pure white system space.
[Congratulations, User, for completing the reward mission!]
[Evaluation: This has sparked the desires of human civilization to conquer the next era, even though the road to the future is long…]
[Requirements: Prove Riemann’s hypothesis within three years! (Achieved)]
[Mission rewards: 10,000 general points, two million mathematics experience points. “Legendary” mission card.]
[S Grade Evaluation Reward: 2x general points.]
Lu Zhou’s updated characteristic panel was displayed in front of him.
[
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: 24,335
]
His progress bar was instantly filled, and the two million mathematics experience points made it level up from level 8 to level 9. He was only one level away from level 10. Not to mention the 20,000 general points.
What surprised him was that his experience bar and experience points needed to level up had disappeared, replaced by question marks.
However, Lu Zhou didn’t care about that. He immediately selected the legendary mission card from his mission panel.
A wave of blue light swept across the information screen.
When Lu Zhou saw his three randomly selected missions, his heart sank to the bottom of his chest.
He took a deep breath and spoke in a trembling tone.
“System, how many general points to… solve cancer?”
There wasn’t a response.
Lu Zhou knew this would happen.
None of the missions were related to cancer, which meant the task of solving cancer had far exceeded his abilities. Otherwise, there was no reason the system wouldn’t give him a biochemistry mission.
Also, the system required a ton of general points to solve problems that exceeded his level of knowledge. For problems that were two levels higher than his subject level, the system didn’t even display the amount of general points required.
Because even if he had the solution from the system, he wouldn’t be able to execute the solution.
After all, the general points could only accelerate his scientific research, it didn’t give him a complete solution.
It was akin to using general points to compensate for the time he should have spent on research.
The premise of using general points to solve problems was that he should be able to solve the problems without assistance from the system.
When he asked the system about controllable nuclear fusion, the system gave him an astronomical number. That at least gave him hope on solving the problem itself.
But cancer…
From the system’s point of view, human civilization hadn’t even fully understood pathogens, far from solving cancer. There was no way to complete this research project in a short amount of time.
“… Looks like I can’t rely on the missions.”
Lu Zhou went silent for a while and closed his system panel.
This was unfortunate.
But he didn’t give up.
Knowing whether or not an academic problem could be solved was also important.
If even a high tech system from an advanced civilization declared that cancer couldn’t be solved by the current level of technologies…
Lu Zhou knew what to do.
…
After he left the system space, he felt a gush of warmth in his brain, spreading along his spine.
The feeling of upgrading from level 8 to level 9 was ten times stronger than when he went from level 7 to level 8.
However, this feeling didn’t make him want to faint. Instead, it gave him a feeling of energy.
It seemed like not only had he obtained more knowledge, but the strength of his brain had also increased.
Of course, he was feeling more and more hungry.
Fortunately, after he exited the system space, Professor Holden’s assistant and two hotel staff members walked into the lecture hall.
In addition to the two bacon sandwiches and salad, there was a warm cup of coffee.
Perhaps because of his unkempt face, the hotel staff member kindly brought him a mirror, razor, and wipes.
Unfortunately, Lu Zhou didn’t have time to touch those things.
After he quickly devoured the food and coffee…
Professor Holden, who was standing next to him, patiently waited for him to finish drinking the cup of coffee. While Lu Zhou was shaving his beard in the mirror, Holden asked, “Can you… explain it to me?”
Lu Zhou answered concisely, “I can, but not now. I have to meet someone. I have uploaded the paper to arXiv. If you’re interested, you can download it and read it.”
Professor Holden said, “You’ve already uploaded the paper?”
“Yes.” Lu Zhou nodded and looked at his watch. “I uploaded it five minutes ago.”
