The call was answered quickly, and within three seconds, Lot Dugan heard Qiao Yu's enthusiastic voice.

"Hello, who are you?"

"Young man, maybe you should take note of my office phone number. It's on the business card I gave you."

"Oh, I heard it. Hello, Professor Dugan. I will definitely write this number into my phone later. Have you seen my email?"

After hearing this answer, Lot Dugan couldn't help but raise the corners of his mouth slightly.

"Yes, I just read the email you sent. To be honest, I am very interested in the generalized modal number theory system you mentioned. As for the question you raised, well...

In fact, I think this is acceptable. For example, the first paper can introduce the core ideas of the framework, the axiom system, and potential applications.

As long as you can let people see that your system can indeed serve as a bridge between number theory and geometry.

As for the second paper, the main content is to verify the geometric structure under this specific framework, making people believe that the logic of this axiom system is indeed self-consistent.

However, in order to ensure completeness, it is best if the two papers are published in the same issue of the journal at the same time. If you and your team can complete it within a similar time, this should be the best choice."

Lot Dugan approved of Qiao Yu's idea.

Yes, this serious and old-fashioned mathematician automatically blocked the question from his mind. Since the two papers can be written in about the same time, why can't they be merged into one paper?

Since Qiao Yu wants to publish two papers, he must have his reasons. Obviously Qiao Yu has no intention of hiding this.

"That's great, Professor Dugan. You helped me solve a big problem. You don't know that we in China value the first author more in all aspects of academic review.

If the paper cannot be divided into two parts, it would be unfair to some collaborators in my team. After all, although I proposed the idea, they did the verification work.

Therefore, publishing it in two papers can better reflect the contributions of individuals within our team. By the way, there is another problem. This system is very complicated, and I cannot fully describe it in one go.

So I plan to use multiple papers to build this axiomatic system. The first paper may only be about the basic properties of this system, and some relatively simple definitions and axiomatic structures.

The second paper will involve the mathematical properties of modal space, including space structure, characteristics, modal convolution operations, etc., and then the third paper... I estimate that it will take about eight to ten papers to complete this proposition.

Of course, each paper will be the same as the first paper, divided into two papers, theoretical and verification, to verify the overall structure. Do you think this is okay?"

After listening to Qiao Yu's description, Lot Dugan's brain went down for a short time...

After all, few mathematicians would do this.

Just like the previous proof of the geometric Langlands conjecture, although it took five papers to complete, the research team released it at the same time.

Qiao Yu's idea seems to be to prove a complete proposition in batches?

After pondering for a moment, Lot Dugan asked: "You mean like J.K. Rowling publishing a book?"

"Ah? Who is J.K. Rowling?"

Lot Dugan explained: "She is a very famous best-selling author. Her masterpiece is the seven Harry Potter books written in ten years. Well, I'm sorry, maybe I should use you and

Examples from familiar Chinese authors."

"Professor Dugan, I have to say that your description is very accurate. That's what I mean. I will build a framework and then flesh it out step by step, but it certainly won't take as long as ten years. After all, I will be

More than 20 years old!

Believe me, I won’t waste such a long time building a framework. After all, the purpose of designing this axiom system is to solve some number theory problems that trouble everyone.”

After hesitating for a moment, Lot Dugan said: "I think maybe we can give it a try. Of course, the premise is that the first two papers in this series can pass the review. I want to seriously remind you here..."

At this point, Lot Dugan increased his voice and sounded more solemn: "Qiao Yu, I will not lower my requirements for the article just because I am very optimistic about you. So the most important thing is the quality of the paper, and

Is your design really, as you say, able to build a bridge between number theory and geometry?"

"Thank you so much, Professor Dugan, your request happens to be the least of my worries! To be honest, my tutor and Mr. Yuan Zhengxin both said that I should apply for key mathematics projects.

Just wait for my good news. I will prepare as soon as possible and try to finish the two articles in September. Thank you again for your guidance, Professor Dugan. Goodbye."

"I'm looking forward to your article. Goodbye."

After hanging up the phone, Lot Dugan was in an even better mood. He was really looking forward to what kind of answer sheet Qiao Yu could hand in. In his opinion, the world of theoretical mathematics has been dull for too long, and there should be some answers.

Surprised.

…

At Yanbei University, Qiao Yu was in a good mood after hanging up the phone.

What the instructor told Lao Xue was right. It is really helpful to know more capable friends.

He was too embarrassed to ask Director Tian and Mr. Yuan for similar questions.

Even if he has a very suitable reason, telling his tutor to break down the paper in such detail is a bit of a scolding.

But things are different now. He has been affirmed by the editor-in-chief of a world-recognized top magazine.

Even though his mentor is also an editorial board member of some international heavyweight journals, from a professional perspective, Qiao Yu feels that an editor-in-chief like Lot Dugan is more professional.

So Qiao Yu immediately called Senior Brother Chen, not only telling him the good news, but also thinking about the titles of the two papers.

The title of the paper in which he is the first author and Brother Chen is the second author is "Basic Theoretical Construction of the Axiom System of Generalized Modal Number Theory".

As for Brother Chen as the first author, the title of his paper as the second author is "Verification and Basic Testing of Geometric Structure under the Axiomatic System of Generalized Modal Number Theory".

It was easy for Qiao Yu to finish the first paper within a month.

After all, a lot of work had been done in the early stage, and he even wanted to save some of it for the second paper.

It’s not that Qiao Yu wants more, the main reason is that if more content is added, then there will be more things that Senior Brother Chen needs to verify.

In the first paper, Qiao Yu only intends to elaborate on the content of three core ideas - modal space, modal distance and modal density.

Correspondingly, the work that Brother Chen needs to do is relatively simple. Verify the mathematical properties of modal distance, including non-negativity, symmetry, triangle inequality, etc.

The second step is the connectivity and completeness of the modal space, as well as the testing of the modal density function.

Because it is an explanatory paper, it needs specific cases, and Qiao Yu has already found Brother Chen for this.

Directly construct a simple modal space, map the distribution of prime pairs to modal points, and use this to test the rules of modal distance and density.

The reason for choosing this method is also due to Professors Zhang Yuantang and Tao Xuanzhi.

The former proves that the spacing between prime numbers is finite. Although the value of 70 million is a bit large, it at least provides an effective method.

The latter has reduced the super high value of 70 million to 600. And this result has been widely recognized.

Therefore, as long as his method is used in this simple modal space, the results after final testing and transformation through formulas are consistent with the results derived by these mathematicians, which is enough to illustrate the correctness of this framework and its application prospects.

How to say...

Although the research results of the predecessors are that they have already picked all the fruits under the fruit trees, so that future generations can only climb the ladder to find the fruits.

But at least these fruits that have been picked can satisfy the hunger of future generations during the climb and support them to climb to higher positions to find more abundant fruits.

In short, this is how Qiao Yu understood it.

So when I finally explained to Senior Brother Chen, my tone was particularly serious and thoughtful: "Senior Brother Chen, you probably have an idea of ​​how to write this paper, right?"

On the phone, Senior Brother Chen immediately replied: "Don't worry, Junior Brother, you have already talked about it to this extent. If I still can't handle it, I will find a piece of tofu myself and kill it tomorrow!"

"It's not just about being able to write well, the key is efficiency! Brother Chen, this time is not for me, or for our research group, but for you to be able to hold your head high as a person in school!

I called Professor Dugan, the editor-in-chief of Ann.Math, directly just for you. Originally, I planned to write a more complete paper, but now I have to delete a lot of the completed content for you, so it will take a month, is there any problem?

"

"Don't worry, little junior brother, from today on I will only sleep five hours a day! One month, let's just have one month!"

"Well, come on, Brother Chen, you don't need to send me the progress every day, just once a week. Come on! Let's try to get the paper published before the end of this semester!"

"Stop talking, little junior brother, I'm going to work first!"

"Go, go!"

After hanging up the phone, Qiao Yu could feel how driven Senior Brother Chen was at this time.

Sure enough, people still need to be pushed properly, otherwise Senior Brother Chen himself may not even know how much potential he has.

Of course, you also need to find the right method.

The most important thing is that Qiao Yu believes that after the two papers he and Chen Zhuoyang have been published on Ann.Math, Lao Xue will probably be unable to sit still.

Then there will be stronger fighting spirit. At least according to Qiao Yu's search results in Yanbei University's literature database, although Lao Xue has published many papers, none of them have been published in the four recognized top journals in mathematics.

This was suddenly surpassed by Senior Brother Chen from the research team, and the sense of competition came...

In this way, no matter what he says in the group, at least two people will respond in time.

As for Qiao Xi...

Well, Qiao Yu knew very well that this sense of competition was probably of no use to her mother, and she didn't care about it at all.

But it doesn't matter, Qiao Yu actually knows Qiao Xi's weaknesses better than anyone else. In fact, he has already started to take action.

Qiao Yu has already communicated with Mr. Yuan, and it is enough for him to express his expectations for Qiao Xi intentionally or unintentionally. Slowly, Qiao Xi will naturally become more and more interested in mathematics achievements.

Yes, Qiao Yu knew very well that what his mother was most afraid of was disappointing those elders who were particularly kind to her and made her feel their warmth clearly.

There is no need to say more about the reasons...

It's just that it takes some time to establish this kind of emotional bond between elders and younger generations. Especially the establishment of family ties has a completely different logic from love.

The former is like spring rain sneaking into the night. It requires a long time of subtle influence, but once established, it may last a person's life and become more fragrant over time;
To be continued...