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Chapter 466 Riemann’s hypothesis is the eternal god of dripping!

Riemann hypothesis!

Say it is a YYDS, I guess everyone has no opinion, right?

This guy is really important!

Just as perfect graphene is the golden key to the fourth industry, the Riemann hypothesis is also equivalent to opening a door for mathematics to take off, if it is proven.

after all!

It involves too many related propositions.

Once it is proved to be successful, more than a thousand propositions will become truth. Everyone should be clear about this concept?

That’s right, there are more than one thousand.

And if it is disproved, then these more than a thousand existing propositions will all be reduced to funerary objects.

It is estimated that all our math textbooks will need to be rewritten.

If this is still not understandable.

Then use the most popular words to explain…

The Riemann hypothesis is the most important and the most anticipated conjecture in mathematics today. There is no one.

Goldbach’s conjecture + twin prime conjecture + ABC conjecture + Zhou’s conjecture is approximately equal to Riemann’s hypothesis.

The details are as follows…

“The Riemann hypothesis is a conjecture about the zero point distribution of the Riemann zeta function ζ(s). It discusses a problem that mathematicians have been interested in for a long time, that is, the distribution of prime numbers.”

“Prime numbers, also known as prime numbers, are natural numbers that are greater than 1, like 2, 3, 5, 7, 11, 13, 17, and 19 and cannot be divisible by other positive integers except 1 and itself.”

“Don’t underestimate these natural numbers. They are of great importance in the study of number theory, because all positive integers greater than 1 can be expressed as a combination of them.”

“In a sense, their status in number theory is similar to the atoms used to build everything in the physical world.”

“The Riemann hypothesis is to discover that the mystery of the distribution of prime numbers is completely hidden in a special function, especially that a series of special points that make that function take a value of zero have a decisive influence on the fine law of the distribution of prime numbers.”

“That function is now called the Riemann Zeta function.”

“The series of special points are called the non-trivial zero points of the Riemann zeta function, and its expression is as follows…”

“The Riemann ζ function ζ(s) is the analytic continuation of the series expression undefined in the complex plane.”

“…”

Um!

Needless to say, you know.

You must not understand this expression.

Including the old man, he glanced dumbfounded at this moment, and just wanted to shout: “Fuck, ruthless!”

This math is really not something ordinary people can play!

It’s nothing more than elementary school, junior high school, and high school. It’s really life-killing when you get to college. If you go further, you will die.

I admire those math professionals very much.

As for mathematics enthusiasts or mathematicians who have been engaged in mathematics research all their lives, that’s even more terrible than bullfrogs!

Change to the old man, read this boring tadpole text or symbol for a few more days, and you will have vomiting and diarrhea long ago.

certainly!

If you change the above expression.

It will be easier to understand.

That is……

“All meaningful solutions of the equation ζ(s)=0 are on a straight line z=1/2+ib, where b is a real number. This straight line is usually called a critical line, and this point has been compared to the first 1500000000 The solution has been verified.”

That’s right.

It’s that simple.

A discerning person knows at a glance.

But there is a sentence in mathematics: “The simpler the expression, the more it will be proved!”

Although proving that it is valid for every meaningful solution will bring light to many mysteries surrounding the distribution of prime numbers.

but……

There have been countless mathematicians who fell into the sand.

After bursting into tears and even vomiting blood for three liters.

Now that they are less than the level of three or four mathematicians, almost all of them have given up proof of this hypothesis.

Just because…

This is a bottomless pit!

Even a big guy like Lu Chengzhou, holding his laptop for years, has no results, let alone ordinary people?

And from the beginning.

Whether it is Lu Chengzhou or the principal Yi Qiu, there is no hope for Jiang Nan to prove the Riemann hypothesis.

but……

Today is different from the past.

When the two of them saw Jiang Nan walking to the blackboard again and starting to write and draw, they couldn’t help trembling suddenly, it was completely from the heart.

“This problem that has baffled countless people, and the conjecture involving more than a thousand theorems, will finally be proven today!”

This is the common idea of ​​Lu Chengzhou and Yi Qiu.

now……

No one believes in Jiang Nan more than the two of them.

Only Jiang Nan, the super king who successively proved the four major conjectures, is expected to get the Riemann hypothesis.

I saw…

After Jiang Nan finished writing the question.

Then he wrote a solution, and then it was an inference.

“According to each group of Jensen’s inequalities with the same “degree”, except for a limited number, all the others meet the requirements of Riemann’s conjecture-that is, all zeros are real numbers.”

“And for the eight groups of Jensen’s inequalities with the lowest “degree”, their zeros are all real numbers.”

“From this we can use a new lemma.”

“That’s Jiang Nan-Zhou’s Theorem!”

[Sp: The theorem will not be explained too much. If you don’t understand, you can read the paper in the “Annual Journal of Mathematics”. 】

“Since the theorem holds when k=1, the recurrence formula of ζ(2n+1) can be derived…”

“…”

Um!

The above is just the beginning.

It is Jiang Nan’s original analysis of Riemann’s hypothesis.

But just this analysis has already applied Zhou’s theorem [original Zhou’s conjecture].

It is worth explaining here.

There is not nothing to do with conjecture and conjecture.

Actually…

They are independent of each other, but they are very compatible.

A conjecture cannot be proved for the time being.

But if another conjecture is proved first, many problems of this conjecture will be solved.

This is the case with Riemann’s hypothesis and Zhou’s conjecture.

And the reason is so.

Just because…

They are all studying the problem of prime numbers.

I said before [Chapter 383]…

The twin prime number conjecture and Mersenne prime number (Zhou’s) conjecture, Goldbach conjecture, ABC conjecture and Riemann hypothesis are collectively called the five major conjecture problems in prime numbers.

Since they are all prime numbers, which are equivalent to being born by a parent, how can they be unrelated to each other?

certainly!

The first four conjectures are not very relevant.

But when it comes to Riemann’s hypothesis, the relationship is big.

It can be said like this……

If Zhou’s conjecture is not dealt with, it will be surprisingly difficult to prove Riemann’s hypothesis.

And the twin prime conjecture, ABC conjecture and Goldbach conjecture also promote Riemann’s hypothesis.

This can be seen.

Riemann’s assumption is really forever God!

Most people don’t study it.

Not to mention ten lifetimes, even fifteen lifetimes, a hundred lifetimes will not be able to solve it, even a few more glances will make you crazy.

And just when Jiang Nan started to argue.

Thousands of people in the large auditorium immediately opened their eyes, opened their mouths, and spit out their tongues in shock.

“Southern God…”

“What is he doing?”

“He just proved Goldbach’s conjecture, but turned around and started to prove Riemann’s hypothesis?”

“In other words, although the school notice is that the Southern God Society publicly proves and teaches the Goldbach Conjecture and the Riemann Hypothesis, at the beginning, I really didn’t dare to think about the Riemann Hypothesis.”

“after all……”

“This can’t be proved by humans!!”

“Although it has been born for more than 160 years, some people have predicted that even if it is more than 160 years later, Riemann’s hypothesis will not be proved, is it that the Southern God will be today…”

An incredible idea was born in everyone’s hearts instantly, this is really incredible!

But the next second!

When they realized who the person on stage was.

But immediately turned into excitement.

“It’s really impossible if it’s an ordinary person, but it’s not an ordinary person at all! That’s a Southern God!”

“Is the Southern God a human?”

“He is beyond the scope of human beings, but a true god, right? Four conjectures for one person, the god of mathematics?”

“It’s so terrible, so terrible!”

“maybe……”

“We will witness the birth of a historical miracle again!”

“As a personal experience, a witness on the spot, is there anything more exciting than this?”

“No, I want to quickly record it, as a family heirloom, and brag to my grandson (granddaughter) in the future!”

“(´｡✪ω✪｡｀)(*˘︶˘*).｡.: *♡!!!”

“…”