activa-t Chapter 446
Chapter 446
Proving the Riemann Hypothesis
“Tell me what your problem is, but let me state in advance that I don’t guarantee that I will be able to inspire you. I can only say that I will do my best!”
Cheng Hao shrugged and said to Tao Zhexuan who was beside him.
“It’s enough!”
Hearing that Cheng Hao agreed to help him, Tao Zhexuan immediately showed excitement.
“I seem to have found an indefinite solution on a non-smooth plane, but I feel that there are still some problems in this place!”
After speaking, Tao Zhexuan quickly asked Cheng Hao a bunch of questions.
Hearing Tao Zhexuan’s question, Cheng Hao frowned slightly.
There was a hint of thought in his eyes.
After pondering for a while, Cheng Hao looked at Tao Zhexuan in front of him and asked, “Do you think your direction is right?”
“I just don’t know very well, so I came to ask you!”
A hint of helplessness appeared on Tao Zhexuan’s face.
“I always feel that there seems to be a problem with this point, but I don’t know where the problem is!”
“To be honest, I don’t know much about topology!”
Cheng Hao said to Tao Zhexuan in front of him.
Hearing Cheng Hao’s words, Tao Zhexuan showed a hint of disappointment on his face.
“But! I think there must be a problem with this point!”
After speaking, Cheng Hao roughly explained the problem here to Tao Zhexuan. Tao Zhexuan turned his head and asked Cheng Hao about some things in front of him. The two of them came and went, and the two discussed for a long time.
Li Yan, who was sitting on the side, looked at the issues discussed by the two in front of him with a dazed expression.
To be honest, he couldn’t understand a word…
Soon, the two of them finished their discussion.
“Okay! That’s about it! Are you staying with me tonight, or are you going to live outside?”
Cheng Hao looked at Tao Zhexuan in front of him and asked.
“It’s too stressful not to live here with you.”
Tao Zhexuan shrugged, and said helplessly to Cheng Hao in front of him.
Hearing Tao Zhexuan’s words, Cheng Hao nodded. He really didn’t feel well.
“Okay! Then I won’t send you off!”
After sending Tao Zhexuan to the door, looking at Tao Zhexuan’s back, a gleam of light flashed in Cheng Hao’s eyes.
His eyes flickered for a while.
seriously.
This Hodge conjecture is really interesting. It studies an important issue in the field of topology. It can be said to be very important, and the key is very interesting.
It’s a pity that I don’t have time to solve this problem now.
I hope Terence Tao can solve this problem!
Cheng Hao smiled slightly. If science has no national boundaries, then the science that truly has no national boundaries should be these purely theoretical sciences.
Theoretical mathematics and the like, these things must have no national boundaries, but those applied sciences must have national boundaries, otherwise, why don’t you let the United States publish its own science and technology?
Obviously it’s impossible!
Things that are not applied can always be made public, and these things are of great benefit to the long-term development of mankind.
But for the improvement of national power, for short-term interests, it doesn’t actually mean anything!
All those who study theoretical science are actually helping the entire human race to gain more foundation. These people are all worthy of admiration!
Thinking of this, Cheng Hao turned around and returned to the house.
“It’s nothing, don’t call me 1”
Cheng Hao casually said to Li Yan who was on the side. After speaking, he went directly to the study alone. Looking at Cheng Hao’s back, Li Yan was slightly taken aback.
He nodded subconsciously.
After Cheng Hao returned to the study, he continued to study the Riemann Hypothesis.
The Riemann zeta function is zero at s=-2n (where n is a positive integer) – because sin(πs/2) is zero. The point on the complex plane where the Riemann ζ function takes a value of zero is called the zero point of the Riemann ζ function.
So s=-2n (n is a positive integer) is the zero of the Riemann zeta function.
These zeros are distributed orderly and simple in nature, and are called ordinary zeros of the Riemann zeta function. In addition to these ordinary zeros, the Riemann ζ function has many other zeros whose properties are far more complicated than those ordinary zeros, and are called non-trivial zeros.
All non-trivial zeros of the Riemann ζ function are located on the straight line Re(s)=1/2 on the complex plane, that is, the real part of the solution of the equation ζ(s)=0 is 1/2.
Cheng Hao stared at the mathematical symbols in front of him.
I kept writing.
Regarding the Riemann conjecture, he already has enough inspiration, and the next step is to solve him!
The outside world is discussing Cheng Hao’s performance on the People column tonight. As for Cheng Hao’s words, they start to figure out every sentence. Many people discuss Cheng Hao on the Internet.
But Cheng Hao didn’t listen to it at all. All his energy was focused on Riemann’s conjecture.
There is only mathematics left in my mind.
Until midnight, when Cheng Hao was a little tired, he drank a bottle of energy potion.
After holding on for two hours, Cheng Hao drank another bottle.
Almost!
Just a little bit!
I am about to find the key that can unlock the treasure of Riemann’s conjecture!
Cheng Hao’s eyes were red, staring at the formula and theorem in front of him.
His mind was spinning rapidly.
The night is getting deeper!
ProcedureHao continued.
During the daytime the next day.
Cheng Hao is still going on!
Right now, his eyes are red, and he seems to have reached his limit.
But soon, Cheng Hao’s mind, which was spinning rapidly, suddenly became enlightened, and the pen, which had slowed down, quickly began to continue spinning.
Beside him, there are papers everywhere, all of which are filled with formulas and theorems, densely packed, each sheet is filled with formulas and theorems.
This is Cheng Hao’s achievement overnight.
until 10 o’clock at dusk the next day.
Cheng Hao finally wrote down the answer to Riemann’s conjecture.
【…… According to the above theorem, it can be proved that all non-trivial zeros of the Riemann ζ function are located on the critical line. 】
[It is presumed from this that Riemann’s theorem holds! 】
After finishing the last sentence, Cheng Hao sat in his seat in a daze, with a look of emotion on his face.
Proven? ? ?
Cheng Hao felt that his spirit had been taken away a lot.
Just when he stood up, Cheng Hao staggered and almost fell.
At this time, several robots came out and helped Cheng Hao to the bed beside him.
Put Cheng Hao carefully on the bed.
Cheng Hao fell into a deep sleep.
“Why has Professor Cheng been like this for the past two days?? He hasn’t gone out for another three days! And he didn’t tell us a word…”
Yan Min frowned and said to Li Yan who was on the side.
“Relax!”
Li Yan smiled slightly, looked at Yan Min in front of him and said, “Do you really think that the artificial intelligence in Professor Cheng’s house is artificially retarded?? If Professor Cheng is in danger, that artificial intelligence will definitely notify us as soon as possible! “