Good luck! This village is full of billionaires

The next morning.

Rainbow University.

School of Mathematics, Academic Lecture Hall.

The mathematical exchange seminar between Russell Group University and Rainbow University kicked off.

Some students who had no classes in the morning came to the scene to enjoy the wonderful showdown between the two sides.

In addition, tutors and professors in the field of mathematics also came to the scene.

On the high platform.

Andy, a PhD student in mathematics at Oxford University, was talking on the stage.

on the big screen in the lecture hall.

It shows the title of Andy’s paper “Using E8 to prove the closest packing problem of equal-body spheres in 8-dimensional space”.

Andy said in English: “In space, the way of stacking spheres of the same size together is called sphere packing.

In high-dimensional space, it is very complicated to find the densest packing of spheres of the same size.

Each additional dimension , which means there are more possible packing methods to consider.

However, in the mathematical world, everyone knows that there is a very special dimension, that is, 8 dimensions.

In this dimension, there is a symmetric spherical packing called E8. This order Dazzling ball packings are better candidates than the densest known ball packings in other dimensions.

E8 is relevant to many mathematical disciplines including number theory, combinatorial and hyperbolic geometry, and even to areas of physics such as string theory. Related.

But in the current mathematical world, there is still not enough evidence to prove that E8 is the densest packing in each dimension.

In today’s paper,

I want to use the modular form of “630” mathematical functions to prove that E8 is the densest packing in each dimension. dense 8-dimensional packing……”

On the big screen live.

Lines of function formulas appear.

Accompanied by Andy’s in-depth explanation.

Everyone was immersed in his paper。

……

In the audience.

The professors in the field of mathematics at Rainbow University nodded frequently.

Andy has profound attainments in the field of mathematics, showing the elegance of Oxford University, a top prestigious university.。

……

Time passes slowly.

Andy used a 66-page paper to successfully overcome the high-dimensional version of the ball accumulation problem.

When he concluded his report, he received applause from the audience.

Andy walked down the platform in high spirits, looking extremely proud.

Oxford University is a famous school for thousands of years.

As a top student at Oxford.

He is confident that he can defeat Rainbow University in the field of mathematics.

In addition, overcoming the high-dimensional version of the ball stacking problem is completely worthy of a Fields Medal-level mathematical achievement.

He will definitely win today’s mathematics communication seminar!

……

Next.

Mathematics masters from the Russell University Group came on stage one after another.

The mathematics lecture hall, which accommodates thousands of people, burst into applause again and again.

As the world’s top university alliance.

Thesis papers produced by Russell Group University students are of very high quality.

For example, a four-dimensional sphere has a family of symmetries that go far beyond the basic symmetries.

For example, the anisotropic Trudinger Moser inequality and its optimality are correctly grown in the whole space.

For example, the boundary behavior of holomorphic functions on discrete grids and some related scaling limit convergence properties.

The Rainbow students present nodded frequently after seeing these papers.

The mathematics level of Russell Group universities is indeed very high!

……

After a while.

Li Qianqian, a junior student at the School of Mathematics at Rainbow University, stepped onto the stage.

She said in fluent English: “I prepared a paper and originally planned to submit it to the “Caihong University Mathematics Journal”. I took advantage of this exchange seminar to show my shame.” Hearing this, all the Caihong students present came

. interested。

《”Caihong University Mathematics Journal” has now become the mathematics journal with the highest impact factor in the world.

Since Li Qianqian is sure to submit a paper to the “Caihong University Mathematics Journal”.

This paper must be of extremely high standard.

Under the gaze of everyone.

Li Qianqian put the U into the USB port.

On the big screen live.

The title of the paper appears——《Proof of Riemann Hypothesis! 》

Saw this title.

The academic lecture hall suddenly became a commotion.

The Riemann Hypothesis, proposed in 1859, is one of the world’s seven top mathematical problems.

In the process of researching the Riemann Hypothesis, thousands of mathematical propositions related to the conjecture were generated.

If the Riemann Hypothesis is falsified, then all these propositions will be invalid and the mathematical system will lose its important foundation.

At that time, the American Clay Mathematics Association offered a reward of one million US dollars to solve the Riemann Hypothesis.

But to this day.

No mathematician has ever been involved in this area.

At this moment, the students and professors of the Russell University Group were all wide-eyed.

WTF? !

what’s the situation?

A junior student actually dared to challenge the Riemann Hypothesis.

What kind of joke is this?

……

On the high platform.

While controlling the PPT, Li Qianqian slowly said: “The Riemann Hypothesis guesses that all non-trivial zero points of the Riemann Zeta function are distributed on a special straight line called the critical line on the complex plane. It is easy to understand

. It is said that the Riemann Zeta function is a complex function.

It can be understood as a function with two variables, one is called the real part and the other is the imaginary part. It can

be written as a familiar function, that is, yf (real, imaginary).

This The function is a bit complicated.

But we can start with a simple case.

If we ignore the imaginary part first and force the imaginary part to be 0, then it will be a very ordinary function yf (real).

Next, please take a look at the big picture Screen……”

Everyone looked up at the horizontal axis x and vertical axis y displayed on the big screen.

Li Qianqian smiled and said: “This picture is part of the Riemann Zeta. You will find that it has obvious characteristics.

When the real department -2, – 4 .- 6, -8, -10, etc.,

this function intersects with X.

In other words, its function value is 0 at these times.

This is what we want, the point where the function value of the Riemann Zeta function takes 0.

Of course, these points are too obvious to be interesting.

In the words of mathematicians, these are all ordinary solutions.

The simple reason is that we just considered the case where the imaginary part is 0.

If the imaginary part is allowed to be taken at will, how can we make the function value take 0?

This is Riemann’s conjecture: in order for the function value to be 0, except for these trivial solutions, all remaining solutions, no matter how large the imaginary part is, must have a real part of 1/2.

In other words, if we draw all the solutions on the coordinate axis, the real part is horizontal and the imaginary part is vertical.

Then they should look like the picture below.

Except for -2 and -4 on the left .- The string of 6, and the remaining ones on the right, are all on the red line of 1/2……”

……

Li Qianqian’s narration is very orderly.

She first led everyone to understand the Riemann Hypothesis, and then followed the rhythm to verify it.

Next.

Following Li Qianqian’s narration. (To read Baoshuang novels, go to Feilu Novel Network!)

The formulas displayed on the big screen span hundreds of pages, contain thousands of formulas, and refer to nearly a hundred previous literature.

Mathematics professors present.

Listen carefully and verify it crazily on your notebook.

But…

proving this thesis takes a lot of time.

They could only give up the argument temporarily and choose to match Li Qianqian’s explanation speed.

They didn’t understand many parts of the paper.

But look at it as a whole.

The paper does not contain any logical errors。

……

Time passes slowly.

On the big screen, formulas and lemmas appeared one after another.

Li Qianqian said loudly: “The above formula can prove that the Riemann Hypothesis is true!”

The scene was completely silent at first……

Immediately afterwards, cheers like a mountain roar and a tsunami broke out.

In the mathematics lecture hall.

All teachers and students stood up and applauded for a long time.

After the Riemann Hypothesis is proved.

Li Qianqian will definitely shock the entire mathematical world!

……[]

In the lecture hall.

Scenes of all living beings are staged.

The professor at Rainbow University was beaming.

The students of Rainbow University have wild eyes.

The professor at the Russell Group University had mixed feelings.

Students from the Russell University Group were disappointed at being defeated, but also envied and admired Li Qianqian for proving the Riemann Hypothesis.

Of course, whether the proof of the Riemann Hypothesis is true still needs to be verified by mathematicians around the world.

If the Riemann Hypothesis is true.

Then Li Qianqian, as a junior student, will join the ranks of the world’s top mathematicians.

At this moment, Andy came to Li Qianqian’s side.

He said with admiration: “Li, congratulations on unveiling the Riemann Hypothesis.

Since the birth of the Riemann Hypothesis,

later generations of mathematicians have been studying it with enthusiasm and sleeplessness.

A hundred years of reincarnation, generations of mathematics Scientists have continued to devote themselves to this.

The Riemann Hypothesis is still like a towering peak, standing on the pinnacle of human intelligence and arrogant.

In modern mathematics, more than a thousand mathematical propositions were established in the form of the Riemann Hypothesis and its extension. , as the basis and premise.

Now the Riemann Hypothesis has been successfully proved.

These thousands of mathematical propositions and theories will be promoted to mathematical theorems.。”

“Thanks! ”

Li Qianqian smiled and expressed her gratitude.

Compared with mathematics students in other fields at Rainbow University,

she is usually very low-key and does not even publish SCI papers. Instead, she devotes herself to proving the Riemann Hypothesis.

Now, she finally succeeded. !

At this moment,

Li Qianqian was also very emotional.

As a villager in Caihong,

she became a student of the Department of Mathematics at Caihong University with a perfect score in the science subject of the college entrance examination.

Since then,

Li Qianqian has had extremely high achievements in the field of mathematics. Talent.

In fact, what she didn’t know was that

the Rainbow Villagers were blessed by a halo that doubled the talent of the villagers, a halo that doubled the talent of the village students, and a halo that doubled the learning ability of the village.

With the three halos superimposed,

Li Qianqian’s ability doubled exponentially. Improvement.

This is why she can prove the Riemann Hypothesis!

……

Same time as 4.9.

Rainbow University.

In the principal’s office.

Tao Rui learned that there were students in the school and proved the Riemann Hypothesis.

In this regard, he praised even.

Since the 19th century.

More and more mathematical theoretical results are being published.

Many branches that were considered useless in the early days have already become the most powerful tools of modern technology, fueling the development of modern technology.

Newton’s calculus became the torch of the first industrial revolution.

Linear algebra, matrix analysis, statistics, group theory, etc. have brought information civilization to people.

Non-Euclidean geometry and tensor analysis make land and sea navigation possible.

Binary brought mankind into the computer age.

Prime numbers have become the key to the Internet, guarding the privacy of all human beings on the Internet, including private key encryption and signatures.

Mathematicians use prime numbers in cryptography.

Nowadays, the RSA public key encryption algorithm is commonly used in the banking industry as a secure cryptographic system.

As Li Qianqian proved the Riemann Hypothesis, he cracked the secret of prime numbers.

The fields of mathematics, banking, and the Internet are all about to undergo earth-shaking changes…

At this moment, if I could use one sentence to describe Li Qianqian’s college career.

Tao Rui would say that after three years of hard work and no one asked, he became famous all over the world in one fell swoop!

starting today.

Rainbow student Li Qianqian will definitely make a sensation in the global academic community! .