The top student must be diligent

They have also heard of the name Riemann Hypothesis.

Although I don’t understand what Xiao Yi’s steps are, in short, since it is related to the Riemann Hypothesis, it must not be simple.

However, Xiao Yi on the stage showed no emotion about this result, and then said: "Actually, I am more interested in the other theorem than the critical line theorem."

"The Bohr-Landau theorem, proved by Harold Bohr and Emond Landau in 1914, states that for any δ \u003e 0, a non-trivial zero point at a distance greater than or equal to δ from the critical line is among all non-trivial zero points The proportion of it is infinitesimally small.”

"In other words, for any narrow vertical strip centered on the critical line, it contains almost all non-trivial zero points. "

"Although this theorem does not even prove that there is a non-trivial zero point lying on the critical line, I think this theorem is quite interesting."

"Now we might as well use Xiao's expansion to discuss this theorem..."

Then, Xiao Yi started writing on the blackboard again.

But this time, it is even more complicated and difficult than the method of advancing to 62.5% just now.

The mathematicians below saw these new things written by Xiao Yi and gradually began to think about them.

In this way, time passed quickly.

This speech was indeed what Xiao Yi said, he just gave a brief speech.

Mainly to show some more advanced uses of Xiao's expansion to the mathematics scholars who came to attend his lecture.

It is almost equivalent to some technical sharing, but does not bring any new results.

After all, new results are not just expected, just like the x^2+1 prime number problem he discussed with Terence Tao and Maynard. After so many days of discussion, although there has been very positive progress, there is still a long way to go. The final solution was still far behind. Even Xiao's expansion could not play a big role in this problem.

Of course, even if it was just some technical sharing, it was already a great surprise for the mathematicians present, especially the new thinking he gave on the Riemann Hypothesis, which also surprised those mathematicians. They came up with many ideas.

Xiao Yi not only talked about things related to the Riemann Hypothesis, but also some other aspects, such as error analysis of effective quadrature formulas in complex analysis to calculate Cauchy principal value integrals, circumferential integrals and combinatorial identities.

Or it may be applied in various aspects such as harmonic analysis and ergodic theory.

All in all, although Xiao Yi spoke very quickly, he gave very eye-catching applications in every direction.

For a time, all the mathematicians present felt even more incredible about the young man in front of them.

How much has this guy mastered mathematics?

Why do you feel like there's nothing he doesn't understand?

Just like that, thirty minutes passed.

"...Okay, the above is what I plan to share in this speech. I hope it can bring some thinking and inspiration to everyone."

When the blackboard behind him was filled with writing, Xiao Yi finally finished speaking everything he could.

"Then the next step is the question and answer session. If you have anything else you want to know, you can ask it now. I am happy to communicate."

Xiao Yi picked up the water glass and took a sip as he spoke, but the next moment he almost spit out the water.

Because almost 100 people raised their hands in the audience.

Are you kidding me, so many people want to ask questions?

The remaining 15 minutes are enough for him to answer as many people's questions as possible.

Forget it, let’s see what they ask first.

Xiao Yi shook his head, then glanced at the people below, and finally pointed to a person on a seat in the second row and said: "Sir, please ask first."

Silvio Mikali raised his brows when he saw Xiao Yi actually pointing at him.

Isn't this a coincidence?

At this time, a staff member handed him a microphone, and then he smiled slightly, stood up, and said, "Hello, Mr. Xiao, I am Silvio Micali from MIT."

Hearing this name, quite a few people in the venue were stunned, and then looked over.

These people were immediately shocked. Isn't this the Turing Award winner from MIT?

Why did he come to listen to this report?

Mikali also raised his question at this time: "In your speech just now, I basically talked about things in the field of pure mathematics, and I am a computer professor, so what I want to ask is about computer applications. Domain issues.”

"During this period, Xiao's deployment has shown a very strong role in the field of information security. In your paper a few days ago, even the classification sieve attack, an attack method that poses a great threat to the RSA encryption algorithm, All have been solved, and the security of the RSA encryption algorithm has been greatly improved since then.”

"And the cross-chain transaction principle you constructed using Xiao's expansion principle also surprised us in the computer industry."

"These fully illustrate the important role of Xiao's deployment in the field of computer security."

“And what I want to say is, if Xiao’s expansion is applied to blockchain cryptocurrency and used to form part of the digital signature, can it also greatly improve the security of cryptocurrency?”

"Of course, it's not just cryptocurrency, there are all aspects that blockchain can affect. Does Xiao's expansion also have the opportunity to play its mathematical principles and provide a certain role in information security?"

"Because I also built a blockchain called Algorand, so I really want to hear your thoughts."

As soon as this was said, in the lecture hall, those scientists who also belonged to the computer field looked at Xiao Yi curiously.

And most of those mathematicians showed confused expressions.

What the hell?

What paper did Xiao Yi publish a few days ago?

Directly solve the risk of classification sieve attack?

And improve the security of RSA encryption?

Why don't they know?

But finally they understood why this Turing Award winner came to participate in this report.

It turns out that Xiao's expansion has not only played a huge role in the field of pure mathematics, but has even branched out in the application field?

Of course, Xiao Yi was the most confused person in the audience.

What's going on?

The participants of this report are not all scholars in the field of pure mathematics?

Chapter 123: More Real than the Name

No matter what, Silvio Micali's sudden question still caught Xiao Yi off guard.

After all, no one told him that in addition to pure mathematicians, there were also computer scientists participating in this report.

So what he just talked about was also in the field of pure mathematics.

If he had known that there were computer scholars here, he would definitely have briefly talked about the application in cryptography, so that everyone would benefit.

Of course, although he was stunned for a while, he soon thought about Micali's question.

It has to be admitted that what the other party proposed is very interesting.

Expand Xiao's and apply it directly to the encryption of blockchain?

This gave him some inspiration for building blockchain in the future.

"Hello, Professor Mikali, um..." He greeted him first, then said, "This thing you proposed is indeed very interesting."

"Can I know about your blockchain, that is, the design idea of ​​Algorand?"

"Haha, of course no problem." Mikali nodded: "Algorand's main purpose is to solve the blockchain's [trilemma]. Do you know this problem?"

"I know." Xiao Yi nodded: "That is, any blockchain system can have at most two of the three ideal properties, that is, any two of decentralization, scalability and security."

During this period, he has done a lot of research on blockchain, including the blockchain trilemma. This dilemma is similar to the trilemma in international economics, but because it occurs on the blockchain, it is slightly different in nature.

Micali smiled and said, "Yes, that's right, so my design idea is to use the proof of stake principle in the first stage, that is, the block proposal stage, and use the Byzantine agreement in the second stage, the block finalization stage, to vote on the proposed block."

"In the Algorand consensus algorithm, the membership of the two committees will change every time the operation phase..."

Micali began to share his ideas with Xiao Yi, and Xiao Yi also began to think.

Since he also plans to build a blockchain, it will obviously be helpful for his subsequent construction if someone else teaches him experience.

However, when the two of them were communicating, the other people in the venue became more and more restless.

Those mathematicians began to ask around, what kind of paper Xiao Yi published a few days ago, which could attract the attention of such a Turing Award winner.

Especially this Silvio Micali, who won the Turing Award for his contributions to information security and cryptography.

This is really surprising.

However, the more they asked and the more they understood, the more they realized what a remarkable thing Xiao Yi had done.

Wow, the problem of the decreasing security of the RSA encryption system that has been discussed in the academic community for many years has been quietly solved in the past few days?

And the solver is Xiao Yi?

It's really amazing!

Of course, this is the information asymmetry between different majors.

For scholars in the mathematics community, this problem is indeed like being solved quietly, and in fact it has attracted the attention of quite a lot of people in the computer field.

Otherwise, there wouldn't be so many computer scholars at the scene.

And after continuous communication, those mathematics scholars realized that there were so many computer scholars among the audience at the scene, probably hundreds of them.

For a while, they were even more amazed.

What Xiao Yi created caused such a huge shock in the computer field!