I am devoted to scientific research, but you want to trick me into having a love relationship?

Chapter 442: A Miracle Will Be Seen

Xu Qingzhou's voice suddenly stopped, as if he was hit by a bullet.

There was also silence in the classroom. Everyone held their breath and stared at the young man on the podium with surprise in their eyes.

"what happens?"

Everyone was confused, but no one made a sound to disturb them, and they waited quietly for the follow-up.

Xu Qingzhou stared at the equation on the whiteboard, frowning, thinking back to what he had just said, "Introduce the interaction term. Introduce the interaction term. In addition to this, can it also be used in the following density function?"

Xu Qingzhou's throat felt a little dry.

It seems that he has found the point that he had overlooked!
He has always focused on using physical tools to make up for the shortcomings of pure mathematical calculations, but forgot that the properties of the Riemann zeta function can be used to reversely calculate the density function.

The density function Sp may be able to satisfy the calculation of non-trivial zeros.

"Whoo~"

Xu Qingzhou suppressed his excitement. This feeling of sudden inspiration was fascinating.

Like an explorer who falls into a Klein bottle, inspiration is the beam of light that shines through the bottle mouth. Because of it, we can move forward along the infinitely extended footprints of the Möbius strip - the starting point and the end point are quietly closed on the Riemann surface.

At this moment, all the previous confusion seemed to be cleared up in an instant.

He picked up the water-based pen again, and the rustling sound of writing could be heard again in the classroom.

A row of complicated formulas appeared on the blackboard.

Introduce the interaction term and then use the properties of the Riemann zeta function to reverse the process.

Two minutes passed.

"It works!"

Xu Qingzhou's eyes lit up. Without wasting any time, he pulled down a clean white board and started writing.

However, it is completely different from the previous formula. There is no physical formula, but a pure mathematical formula for calculating non-trivial zero points.

Bex Carson, who was at the front, saw something and asked, "Does he want to..."

"What's this?"

Mars had a confused look on his face. He could only make out some of the symbols of the Riemann function. When put together, he couldn't recognize them.

Sun Simin and others shook their heads; they didn't understand either.

A middle-aged man behind them said solemnly, "If I'm not mistaken, this is his unpublished proof of the Riemann hypothesis. My God, I have never seen such a complex yet perfect formula."

That’s right, Xu Qingzhou is modifying the previous proof of non-trivial zero point estimate in order to couple it with the density function just now.

Mathematical calculations often have a far-reaching impact.

He started recalculating almost from the first third, that is, the ξ(z) function he constructed.

"Does he want to prove the Riemann hypothesis on the spot?"

"It should be, maybe, I just had some new ideas."

"Yesterday I saw a few idiots commenting on Mr. Xu's empty promises to the mathematics community. I was so angry that I wanted to stuff their mouths with the lousy sandwiches from that lousy shop outside the school."

There was whispering and even a commotion in the audience, and everyone was excited. What a great feat it was to prove the Riemann hypothesis on the spot.

"Burroughs, what are you doing?"

"Ask Lake to come over. This is a time to witness a miracle. I think he'll enjoy this more than a date!"

Xu Qingzhou was completely immersed in the world of mathematical operators, where various tools such as analytic extension, zero-point round-up, integral representation, and Hermitian operators were blended together.

He didn't notice that at the left door of the lecture hall, a middle-aged man with a big beard was staring blankly at the whiteboard.

"I'm fucking awesome."

Horn couldn't help but swear. He had just delivered some information to a professor in the next building and had been planning to go to the office with Xu Qingzhou. But who would have thought that he would see such an exciting scene.

After he sighed, he came back to his senses and took out his cell phone: "Professor, Xu Qingzhou seems to be proving the Riemann hypothesis in the lecture hall." There was silence on the other end of the phone, and then the sound of a door slamming shut was heard: "Come right over!"

At this time, the whiteboard in the classroom was no longer enough. Bex Carson was very observant and took an eraser to erase the extra physics formulas that Xu Qingzhou had written earlier.

"Thank you."

Xu Qingzhou simply thanked him and returned to his previous state.

In the lecture hall, a group of people stared at the formulas that kept appearing on the whiteboard with astonished eyes. Of course, since most of the people in the class were students like Sun Simin and others, they had limited knowledge and definitely couldn't understand them.

But this did not affect their excitement. Because Xu Qingzhou was substituting for them in the class, they even felt a strong sense of participation.

The other group consists of scholars and professors at the back of the classroom.

Some of them took pens and followed the calculations, some were lost in thought, and some were exclaiming in amazement.

When Professor Roberts arrived, he looked at the bustling classroom, was stunned for a moment, first looked at the name Xu Qingzhou written on the podium, took a deep breath to calm his breathing.

At the back of the lecture hall, he saw a few old acquaintances and walked over.

"Hi, Roberts," the old man greeted in a low voice.

Professor Roberts lowered his voice and said with some emotion: "I didn't expect you to receive the news too."

"I was planning to go have lunch, but I heard from students that miracles are being created here." The old man said with a smile, but he did not stop checking the calculations in his hands. He muttered, "Strange, how did the integral interval of the main term of equation (17) get transferred here?"

The old man shook his head, no longer struggling, and his eyes fell on Xu Qingzhou: "Do you think he can succeed?"

"It's hard to say. He is young, energetic and intelligent, but this is the Riemann hypothesis."

Professor Roberts paused.

Youth is his asset. Unlike old guys like them who can only do research in a conventional way, he believes that Xu Qingzhou will solve this difficult problem one day, but he never thought that this day would come so soon.

On the podium, Xu Qingzhou was still brainstorming, using formulas one by one to unravel the mystery and find the true meaning of the Riemann hypothesis.

Mars nudged Dino Connolly next to him with his arm, motioning him to look behind him.

Dino Connolly turned around and saw several white-haired old professors at the back of the classroom.

By integrating the distribution density, various correlation functions of the eigenvalues ​​of random Hermitian matrices can be calculated to make up for the shortcomings of pure mathematical calculations.

This is where the ξ(z) function created earlier comes in.

The whiteboard in the lecture hall soon became full, but Horn was prepared and brought a few people to borrow five whiteboards from the nearest office.

"ξ(z) function? Amazing, so perfectly written."

"Density functions can actually be like this!"

"Oh my God, I have a feeling that I will see a miracle today!"

1 hours passed.

The number of people in the lecture hall increased instead of decreased.

Most of them were scholars who came here after hearing the news. Even people from Harvard and Boston University came here. The Boston mathematics circle was very large.

And those students who were originally attending the class did not leave.

Young people like to join in the fun, and they especially admire Xu Qingzhou's unique behavior.

Xu Qingzhou was not affected at all. He was in a state of enlightenment, with only infinite formulas in his mind.

One o'clock at noon.

For any σ> 1/2, ( N(\sigma, T)\ll T^{\epsilon})
That is: N(σ, T) = 0
So far, it has been proved that all non-trivial zeros of the Riemann zeta function are located on the straight line Re(s)=1/2 in the complex plane.

Xu Qingzhou grinned, he finally managed to chew this tough bone.

He turned around and noticed that the lecture hall was full of people.

(End of this chapter)