Top Student at Their Peak

Wait for my good news, I'll prepare quickly, aiming to finish the two papers by September. Thank you again for your guidance, Professor Dugen, goodbye."

"I'm really looking forward to your paper, goodbye."

After hanging up the phone, Lott Degen felt even better. He truly anticipates what kind of work Qiao Yu can produce, as he believes the theoretical mathematics field has been too dull for too long and it's time for some surprises.

...

At Yanbei University, after hanging up the phone, Qiao Yu also felt quite good.

The mentor and Old Xue were right; meeting capable friends indeed helps.

He felt embarrassed to ask Director Tian and Elder Yuan about similar questions.

Even if he had very valid reasons, discussing splitting the paper into such detailed pieces with his mentor somewhat risked being scolded.

But now it's different; he has received affirmation from a world-renowned journal editor.

Even though his own mentor is also on the editorial board of several major international journals, Qiao Yu feels that an editor like Lott Degen is more professional from a professional standpoint.

So Qiao Yu immediately called Senior Brother Chen, not just to inform him of the good news, but also to discuss the titles of the two papers he had thought about.

For the paper where he is the first author and Senior Brother Chen is the second author, the title is "Basic Theoretical Construction of Axiomatic System of Generalized Modal Number Theory".

As for the one with Senior Brother Chen as the first author and him as the second, the title is "Geometric Structure Verification and Fundamental Test under the Axiomatic System of Generalized Modal Number Theory".

For Qiao Yu, completing the first paper within a month is easy.

After all, he has already done a lot of work in the earlier stages and even has to save some parts for the second paper.

It's not that Qiao Yu wants to flood content; it's mainly because adding more content means Senior Brother Chen would have more to verify.

In the first paper, Qiao Yu plans to elaborate on three core ideas—modal space, modal distance, and modal density.

Correspondingly, the work Senior Brother Chen needs to do is relatively simple, which is to verify the mathematical properties of modal distance, including non-negativity, symmetry, and the triangle inequality.

Next is the connectivity and completeness of the modal space, as well as the testing of the modal density function.

Since it's an explanatory paper, specific cases are needed, and Qiao Yu has already sorted this out with Senior Brother Chen.

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

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

The former proved the finite gap between prime numbers; although seventy million is a bit large, it at least provided an effective method.

The latter reduced this enormous value to six hundred. Moreover, this result has been widely recognized.

Therefore, as long as his method is applied in this simple modal space, and the finalized results after conversion through formulas align with those derived by these mathematicians, it would sufficiently demonstrate the framework's correctness and its application prospects.

How to say...

Although the research outcomes of predecessors have already picked all the fruits under the fruit tree, leaving later generations to only find fruits by climbing a ladder...

But at least the fruits already picked can feed the later generations during the climb, supporting them to reach higher places to find more abundant fruits.

In summary, that's how Qiao Yu understands it.

So finally, when explaining to Senior Brother Chen, his tone was particularly earnest: "Senior Brother Chen, you roughly have a plan on how to write this paper, right?"

On the phone, Senior Brother Chen immediately replied: "Don't worry, junior brother, if you explain it to this extent and I still can't manage it, I'll find a block of tofu to smash myself tomorrow!"

"It's not just about writing well, the key is efficiency! Senior Brother Chen, this time it's not for me or our research group, but for you to hold your head high and live proudly in the school!

I specifically called Editor-in-Chief Dugen of Ann.Math for you. Originally, I planned to write the paper more completely, but now I've removed many completed parts for you, so is one month a problem?"

"Don't worry, junior brother, from today I'll sleep only five hours a day! One month, just one month!"

"Alright, then good luck, Senior Brother Chen. You don't need to send me daily progress, once a week is enough. Keep it up! Let's strive to have the paper published before the end of this semester!"

"No more talking, junior brother, I have to get to work!"

"Go, go!"

After hanging up the phone, Qiao Yu could sense how driven Senior Brother Chen was.

Indeed, sometimes you have to push yourself a bit; otherwise, even Senior Brother Chen might not know how much potential he has.

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

The most important thing is, Qiao Yu believes that when he and Chen Zhuoyang's two papers are actually published in Ann.Math, Old Xue probably won't be able to sit still either.

There'll be more intense fighting spirit. At least according to Qiao Yu's search results in the Yanbei University literature database, although Old Xue has published many papers, none of them are in the four major recognized mathematics journals.

With the sudden surpassing by the research group's Senior Brother Chen, won't the competitive awareness arise...

So when he says something in the group then, at least there will be two people responding promptly.

As for Qiao Xi...

Well, Qiao Yu understands very well that this sense of competitiveness probably doesn't work for his own mom; she's not concerned about these at all.