Chapter 347

Inventiones mathematicae and Annals of Mathematics are two of the top journals in the field of mathematics, and are known as the "Nature" and "Science" of mathematics.

Both belong to the journals in Zone 1 and have an impact factor of 10 or above.

Although there is still a gap with the more than 40 impact factors of Nature and Science, it is already among the two highest journals in the mathematical community.

Naturally, the higher the impact factor, the more difficult it is for the journal to be included.

Most of the papers published in Inventiones mathematicae are some of the world's most renowned mathematicians.

Even one of the top mathematicians in the field of applied mathematics in China, such as Professor Fang, has not published a single paper in two journals.

However, the reason why Professor Fang is determined to submit the certificate paper to this journal this time is naturally full of confidence.

As far as the proof process and difficulty of the weak BSD conjecture are concerned, it is absolutely qualified to publish the specific proof process on it.

There is no doubt that the signature of the paper is the common name of Professor Fang and Cheng Nuo.

Although Professor Fang is not as influential as those top mathematicians, he is also well-known in the world, and with Professor Fang's signature, it will not be possible for this conjecture to prove that the paper will sink directly into the sea.

The paper of more than 100 pages was converted into PDF format and entered the official website of the journal Inventiones mathematicae, and Professor Fang successfully submitted the paper.

All that's left is to wait for news.

It can be as short as one or two months, or as small as half a year, and the journal will reply.

"Okay, let's wait for news. Professor Fang closed the webpage, took off his reading glasses, turned his head and smiled at Cheng Nuo.

Cheng Nuo exhaled lightly, "I can finally rest for a while." ”

Professor Fang nodded and smiled, "Indeed, you have indeed worked hard in the past year. Well, I'll give you a month off, and I'll give you a new assignment after a month. ”

"Still have a task?" Cheng Nuo's face instantly cried.

"At your age, you are in the stage of frantically absorbing knowledge, you can relax a little, but if you continue to slacken, you will waste all your talent!" Professor Fang said with a smile.

Cheng Nuo nodded resignedly, "Okay." Professor, can you tell me what my new assignment is?"

Professor Fang coughed dryly, "I haven't thought about it yet." ”

Cheng Nuo: "Uh......"

Professor Fang waved his hand, "In short, you won't be idle." ”

"In the past few days, you have been Meisai again, and you are sorting out papers, you should be tired, go back and rest and rest, and I will contact you again when there is news about the new task." ”

"That's fine. Cheng Nuo nodded.

............

In the blink of an eye, half a month passed.

After a month of adjustment, Cheng Nuo also recovered from his previous busy green state.

I have a normal daily schedule, go to bed early and get up early, and spend my days on campus every day, and my days are leisurely.

In addition to studying, there is no other work constraints, and time can be freely managed, which is simply beautiful!

At the beginning of March, the weather turned from cold to cool.

Cheng Nuo sat in a corner of the library, thinking with his chin against his chin.

And the content of the reflection is about his graduation thesis.

According to Professor Fang's arrangement, this semester, he will finish all the courses at the undergraduate level, but most of the seniors will get a degree certificate in mathematics.

The graduation thesis and graduation defense are a hurdle that Cheng Nuo must face before graduation.

Originally, for Tsinghua students, it was not a difficult thing to pass the graduation defense before graduation. Every year, the students in the school who fail to get their degree certificates because they fail the graduation defense can definitely be counted with one hand.

Therefore, it can be shown that the criteria for graduation defense will not be too strict.

However, that is for fresh graduates.

Cheng Nuoke is a genius who directly shortens the four-year course to two years, and the standards will naturally be different.

Professor Fang had already passed the gas with Cheng Nuo in advance, saying that if he wanted to successfully pass the graduation defense, it was best to prepare a graduation thesis with the same level of mathematics as himself, otherwise, the teachers in the defense team would probably not let Cheng Nuo get the graduation certificate so easily.

This made Cheng Nuo have a toothache!

A paper that is at the same level as your own math?

Cheng Nuo asked Professor Fang about the subtext of this sentence.

Professor Fang told Cheng Nuo that, simply put, the college hopes that Cheng Nuo can prepare a graduation thesis that is eligible to be included in the low-level SCI journal in District 1.

Hiss –

Cheng Nuo gasped.

I...... Is it so powerful?

That's a SCI journal paper in the first district, although it is only those SCI journals that rank lower, but the impact factor also has five or six points.

Even some professor-level figures in Chinese universities do not mean that they can write a district paper casually.

Other students may be able to get a high score for a paper at the level of a domestic core journal, and a paper in a SCI journal in the second and third districts can get a full score, but they can do it themselves, and the papers at the level of SCI journals in the first district are eligible to be entered by the defense team.

Alas, these days, genius is hard to do!

It seems that it has become unrealistic to write a SCI thesis at the level of the second and third districts and fish in troubled waters to pass the graduation defense.

In this way, it can only be frontal.

This is also the reason why Cheng Nuo stayed in the library and thought about the content of his graduation thesis.

On his desk, there was a large stack of books.

"Functional Analysis", "Methods in Mathematical Physics", "Review of Modern Number Theory", ......

Cheng Nuo's eyes were empty and blank, seemingly outside of a wandering object, but in fact, his mind was constantly running at high speed.

There are many theories that can be used as a paper in my mind, but none of them are of high academic value, and they are far from reaching the level required by Cheng Nuo.

Space Theory of Functional Equations?

No way. This knowledge is too simple to have any advanced insights.

What about nonlinear development equations and infinite-dimensional dynamical systems?

This is not good, partial differential equations are not yet my field of deep research.

............

Cheng Nuo, who was full of thoughts, opened his eyes helplessly, and he sighed.

Still don't have an idea?

He twisted his neck, picked up the book "Review of Modern Number Theory" on the table, and casually flipped to a page.

Title of the page: Bertrand Hypothesis.

Cheng Nuo's gaze began to browse from the beginning.

Bertrand postulates that for any natural number n ≥ 2, there is at least one prime number p such that n < p < 2n.

It was proposed as a hypothesis by the French mathematician Joseph Bertrand in 1845. Bertrand validated the case up to 3,000,000. In 1850, the Russian mathematician Pafnuty Chebyshev (1821 - 1894) gave the first rigorous proof of this hypothesis. Hence the Bertrand hypothesis is sometimes referred to as Chebyshev's theorem.

It took Cheng Nuo two hours to read the specific proof process given by Chebyshev, and then his brows furrowed.

It's complicated, it's too complicated!

Chebyshev's proof process, apart from the word complicated, Cheng Nuo could not find any other evaluation.

Looking at the piles of formula characters, Cheng Nuo, who has long been used to it, has a little numb scalp.

Just when Cheng Nuo was packing up his mood and was about to turn the page back, the movements in his hands suddenly stopped, and something seemed to be in his mind......