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On September 20th, the British mathematician Michael Atia announced that Riemann conjecture has been proved and will be published at the Heidelberg Prize Winners' Forum on September 24th.

Atia is regarded as one of the greatest mathematicians of our time. 1966 won the Fields Prize, and in 2004, it won the Abel Prize and the Nobel Prize in Mathematics with Singh.

The Riemann conjecture put forward by German mathematician Bernhard Riemann in 1859 is also the highest conjecture that has attracted many mathematicians to rack their brains for many years.

At the turn of the Millennium, the United States put forward seven centuries-old mathematical problems and set up a prize of 1 10,000 dollars for scientists who can solve these problems. Riemann conjecture is one of them.

After the preprint was released, Xiao Xuan, the official account of WeChat, which pays attention to scientific communication, made a brief interpretation, and the quantum bits are reproduced as follows:

Atia's Riemann conjecture paper was published in the preprint library.

The full text is very short, only 5 pages.

In the introduction of this paper, Atia said that he wanted to know the dimensionless constant in quantum mechanics-fine structure constant.

This is shocking because the fine structure constant is approximately equal to1137, which describes the intensity of electromagnetic interaction. For example, in hydrogen atoms, we can roughly say that the speed of electrons around the nucleus is1137 times the speed of light.

This thing has been deeply understood by physicists.

Later, Atia pointed out that understanding the fine structure constant was only the initial motivation. The mathematical method developed in this process can understand Riemann conjecture.

Later, Atia talked about Riemann conjecture. He said that in the process of his proof, he introduced a new function called Todd function. This Todd is his mentor.

According to Atia, todd function is a weak analytic function ... The intermediate process is not easy to understand, so I won't talk about it.

Finally, at the end of the paper, Atia said that the fine structure constant and Riemann conjecture have been solved by his method. Of course, he only solved the Riemann conjecture in complex number field and Riemann conjecture in rational number field, and he still needs to study it. In addition, with the solution of Riemann conjecture, Atia thinks that bsd conjecture is also expected to be solved. Now, of course, Atia thinks that the gravitational constant G is a more difficult constant to understand.

This is the general meaning of Atia's paper.

After reading this paper, I am very calm. Because the paper is too short, it doesn't look so awesome, and it is full of flesh.

In fact, I still want to know why there is a fixed constant 1/2 in Riemann conjecture.

In Riemann conjecture, we see that the real parts of nontrivial zeros are all equal to 1/2, which is a surprising constant.

Although we can see why 1/2 appears from a simple symmetry relation.

1-s=s

So s= 1/2.

But why is 1/2 so special? Is there any symmetry in this number? Is there periodicity? This does not seem to be the case. From a physical point of view, we will think that the number 1/2 is special. I don't quite understand why God chose this number as the answer to Riemann's conjecture. Why not choose 1/3 or 1/7? Is it because 2 is the first prime number? In my opinion, 1/2 doesn't have that kind of "generalized covariance".

If the constant in Riemann conjecture is not 1/2, but pi, it will make me think this thing is better. What appears now is 1/2, which undoubtedly makes people feel that Riemann conjecture is not a conjecture involving the nature of the universe, but only a rough mathematical semi-finished product. There may be more fundamental and important mathematical phenomena in the universe than Riemann conjecture.

So I really want to know why there is a fixed constant 1/2 in Riemann conjecture and why it is so special.

Atia's paper has come out, so you can have a look. I'm just throwing a brick at the jade. I hope he is right. ...