Scholar’s Advanced Technological System

Looking at the unfolding mission column for about five minutes, Lu Zhou finally chose to use the reward mission card.

The plan of the quality projector is on the work schedule of the Lunar Track Construction Committee, but I don’t know when to go when I want to build this stuff.

During this time, he can do something else first.

Anyway, the project on the moon depends on the hook, the commission will not run there, at most, just postpone a little later to complete that’s all.

[golden reward mission open! 】

[Description: The throne of the old era has stood for one and a half centuries, and the start of the new era will surely follow the end of the old era! First Step to the future, starting with mathematics…]

[Requirement: Resolve GFB Riemann’s Conjecture within three years! 】

[mission reward: 10,000 points integral, two million mathematics experience, a “legend” mission card. 】

“…Can you get GFB Riemann’s Conjecture within three years?”

Expressionless sees the content on the holographic panel from the beginning, Lu Zhou thoughtfully said to himself.

“Although this is the top crown in the mathematics world, but three years…”

“It’s too small to look at me too.”

Finally, a confirmation of the mission instructions and requirements, Lu Zhou faint laughed, the index finger gently across the holographic screen, turned off the updated mission bar.

It is not an easy task to prove that GFB Riemann’s Conjecture is not an easy task. Even if it proves that GFB Riemann’s Conjecture is just a way to the top of the mountain, it takes a lot of effort to get to the top of the mountain.

But what about it?

There has never been a problem that can bother him for three years…

Lu Zhou has no doubt that he can solve this problem within three years.

This is both an intuition on mathematics and a confidence that he has long brought to him in the field of mathematics!

“The ‘legend’ mission card is really exciting…”

Since it is called a legend, then it should be more advanced than the golden mission card.

Although I don’t know what the back of the card is hiding, but when I think of the word that defines it, Lu Zhou’s heart is full of enthusiasm…

……

After leaving the system space, Lu Zhou, sitting in the office, slowly opened his eyes and returned sobered up from his eyes.

The familiar warmth gradually climbed up the brain along the spine. As the feeling of being soaked in the hot spring spread along the neural network to the limbs, Lu Zhou felt that his spirit had never been higher than ever before, and the Civic was unprecedentedly clear.

This feeling is like…

A step closer to the omniscient God.

The transformation of the brain domain did not take too long, and the warm current that climbed the spine was thoroughly scattered.

Gently moving his shoulders and feeling the weight on his shoulders, Lu Zhou reached out and touched it and found his shoulder covered with a blanket.

With the only one after another in the office, I looked up and saw that the little girl’s face was getting red and stuttering.

“…I see you are very fragrant, just help you.”

Look at Han Mengqi, Lu Zhou, who explained it in a hurry.

“Thank you.”

“You’re welcome…that, you have arranged my problem, I have already finished.”

Han Mengqi was a little overwhelmed with the sight of Lu Zhou, stepping on the small step and stepping forward, handing out the stack of almost full A4 paper. .

“I don’t know if it’s right, but… I thought about it myself.”

“let me see.”

No more nonsense, Lu Zhou took the stack of A4 paper from the girl’s hand and gave a roughly glance.

The line at the top of the article is the one he had assigned to her last month.

[For any real number s>1, define ζ(s)=Σ1/(m^s), and verify that 2n is the transcendental number. 】

The line of sight continued down, and it took about 5 minutes. Lu Zhou saw the full five or six pages of calculations from the beginning and gave a more pertinent evaluation.

“A very standard proof method.”

The line of sight left the proof process in his hands, and Lu Zhou looked at the calendar and then returned the proof process to Han Mengqi, who was waiting for the result.

“It’s amazing, I thought you would spend more time to prove it. I didn’t expect you to finish this year.”

Hearing this praise, the pressed lips couldn’t help but sway a little, Han Mengqi said softly snorted.

“…I am very smart.”

Lu Zhou is lightly laughed.

“I will confirm this on my own.”

Looking at Lu Zhou, who is ready to ask questions, Han Mengqi played a spirit of one hundred and twenty, and he said that he was waiting.

“You ask!”

“The third page of the 16 line.”

When the paper was squeaking, Han Mengqi quickly found the position of the line.

Taking a sip of the slightly cool coffee cup on the table, Lu Zhou paused for a moment and continued: “Details on how to extract 2n from the 2 as a transcendental number.”

Upon hearing this question, Han Mengqi’s heart was secretly relaxed.

Before she came, she was ready to be harassed by Lu Zhou. She did not expect that Lu Zhou did not take the particularly difficult problem to marry her, but asked a very basic one.

Deeply calling took a deep breath, she paused for a moment and continued.

“…The transformation of the formula 2 is obtained according to the Euler’s formula. For any integer n>1, there are ζ(2n)=b(n)π^(2n).”

“where b(2n) is a rational number sequence, ie a Bernoulli number. Obviously ζ(2) is π^2 multiplied by a special rational number, ζ(4) is π^4 multiplied by a special rational number…so we It is completely clear that 2, 4… are rational numbers, and since π is a transcendental number, these function values ​​are of course also transcendental numbers.”

After listening to Han Mengqi’s statement, Lu Zhou praised nodded.

“Not bad.”

“But don’t be eager to be proud. This question is only a test of whether you and thesis are done by yourself. The next question is the real challenge.”

Looking at the stern Han Mengqi, Lu Zhou put down the coffee cup in his hand and continued to ask.

“Since you have proved that 2n is a transcendental number, then what I want to ask is, 3?”

Such a simple question…

Han Mengqi proudly lifted his chin.

However, just as she was preparing to answer this question, she was stunned.

ζ (3)!

ζ (3)…

Hey?

What is this stuff? !

Asked Han Mengqi, Lu Zhou laugh, and Lu Zhou laughed.

“The answer is not up?” (3) seems to be simpler than 2n? The latter has an unknown number in brackets.”

“Oh…” The gang swelled up and Han Mengqi, who bit his lower lip, meditated, but could not say a word.

After a while, I asked with a tentative tone.

“Also… beyond?”

Lu Zhou smiled and asked, “Oh? Why?”

Han Mengqi honestly replied: “… guess.”

Looking at the little girl’s honestly looking down, Lu Zhou laughed, paused for a moment and continued.

“You don’t know it, it’s not surprising, because Euler who wrote Euler’s formula doesn’t know. Until 1978’s French mathematician R.Ap’ery proves that 3 is not a rational number, and about 5 is not Rational numbers, we don’t know now.”

As soon as Lu Zhou asked his question, there was no answer at all, Han Mengqi said suddenly.

“What?…take this unanswered question…to bully me.”

“There are answers,” after watching Han Mengqi and Lu Zhou laughed, he said in a serious tone, “Any mathematics questions have answers, but we don’t know them. And when you become a doctor from master’s degree, The challenge is also here, you have to learn to find a way to the labyrinth exit, propose Idea, and then implement it.”

After hearing the words of Lu Zhou, Han Mengqi first stunned.

Then she replied violently, and a surprise expression appeared on her face.

“Wait, wait a minute, what do you mean, decided to accept me as a singer?!”

Lu Zhou smiled nodded.

“After you successfully answered the first question, I actually decided.”

“As for the second question, it is your research topic.”

As he said, Lu Zhou got up from behind the desk and walked over to the blackboard in the office. He picked up a piece of chalk and wrote it on the blackboard.

“The transcendence of the value of Riemann’s zetafunction at odd integer points has always been a classic problem in the field of analytical numbers. According to Euler’s formula and the nature of Bernoulli numbers, it is easy to prove that 2n is a transcendental number. It is speculated that for any integer n>1, ζ(2n+1) is also a transcendental number.”

“The best result at the moment is that there are countless ζ (2n+1) as irrational numbers, but the difference between infinity and infinity in mathematics is also far from infinity.”

“If you can move forward in this direction, even if it is only a small step, as long as it is enough to be recognized by the academic community.”

“At that time, you will be able to graduate from me.”