The selection of research topics is not blind and requires careful consideration.

On the one hand, Cheng Nuo has to frame goals according to his own ability. At present, I only specialize in mathematics, and I am only more predictable than ordinary people in other subjects, and there is still a long way to go before I can publish my paper alone.

For the time being, the papers that can be published are limited to mathematics.

On the other hand, the topic of the paper should not be selected for the sake of fame, and some big topics that are very practical and can obviously promote technological progress should be selected to be published.

Because to do so would be to make an enemy.

Imagine that with the current industrial base of the Republic of China, which can be directly ignored, if there is really any high-tech development, there is no ability to take root at all, but it is very likely that foreigners will use it to innovate technology, and then dump it into the domestic market, thereby squeezing the living space of the Chinese people.

What's yours is mine, and what's mine is still mine.

In the end, maybe it can be taken away by the devil, then the situation is even worse, and our protagonist may become a sinner for the ages.

Good technology, can only be kept for their own use,

As for the future development of local industry, it is natural to quietly enter the village first, and those who shoot do not want to shoot.

Therefore, the current topic selection conditions of the paper are very clear, that is: mathematics-based, famous but not practical, preferably equal to none.

That's easy to do.

Removing the luggage on the table, Cheng Nuo took out a piece of manuscript paper and spread it on the table, picked up a pencil and began to write and draw.

The first is class domain theory, as a field in algebraic number theory, at the beginning, the German mathematician Hilbert in 1898 after writing the "Number Theory Report", guessed the relationship between the taxa of the domain and its abelian expansion, so he put forward the famous "Hilbert class field theory" at that time, and put forward four conjectures.

Hilbert's student Furtwängler was so talented that he was the first to prove the first three before 1907.

Unfortunately, the goddess of mathematics soon abandoned him, and there was no progress for 23 years, until the poor Austrian mathematician proved the fourth conjecture in 1930.

In these years, in 1920, the Japanese Sadaharu Takagi published an article "On the Theory of Relative Abel Domains", which solved a famous problem in the theory of dividing circle fields in algebraic number theory, "Kroneck's Dream of Youth", proved the existence of general class fields, and directly established the class field theory.

"Being the founder of a discipline seems very tempting."

Cheng Nuo stopped his pen, circled the three words "class domain theory" on the manuscript paper, pinched his chin and thought about it seriously

And to put it another way, the importance of creating a discipline is much more than just being famous.

As the originator of modern mathematics in Japan, Sadaharu Takagi introduced algebraic number theory, which was still in the early stages of development, to Japan, and helped the island country cultivate the first batch of modern mathematical talents.

Under this influence, a number of world-renowned mathematicians such as Masashi Nakayama, Kunihiko Kodaira, and Mikio Sato have come out successively, and successfully built algebraic number theory as the fist direction of their national mathematics.

From point to surface, from surface to body, it gradually expanded from the core field to other disciplines, and then came to the forefront of world mathematics.

Although I don't want to admit it, by the time Cheng Nuo crossed over, Japanese mathematics had basically equaled Maozi in the world rankings, and even surpassed some overall, second only to the United States and France.

Looking back at our country, the beginning of algebraic number theory has to be counted from the introduction of Mr. Hua Luogeng in the 60s, and the age gap between the two countries is as much as half a century, and it is necessary to train several generations of mathematicians, so that many mathematical terms used now are also imported from Japan.

Therefore, whether it is for the country, the people, or oneself, the introduction of algebraic number theory in China is of strategic significance.

It's settled, that's it.

What is called "Kroneck's dream of youth", it is better to change it to "the dream of domestic mathematical development".

As for the Goldbach conjecture? Slow first, slow down first.

After all, it was not until Cheng Nuo was electrocuted that the Peruvian mathematician Harold Hoovgolt solved the weak Goldbach conjecture with the help of a computer.

However, the Jongoldbach conjecture is still stuck in Chen Jing's research, and the progress has been almost zero for decades.

But this is also good, in the future, I have time to write a progress article in the journal every once in a while, and it is also perfect to match the topic selection conditions.

After Cheng Nuo determined the goal, he cleaned the manuscript of writing and drawing on the table with an eraser, lit a match and burned it to ashes before he stopped.

Although it is only a small inspiration recorded on paper, it is still a bit shocking in the present, and it is a bit risky not to erase the traces after all.

After doing all this, Cheng Nuo only felt relaxed, and he didn't even need to prepare the opening report, took a deep breath, took out a new manuscript paper and began to write a book:

"Let k be the field of algebraic numbers, m be an integer factor in k, and m be the formal product......

......

...... Therefore, we can refer to it as a generalized ideal group. ”

I couldn't stop the inspiration, so I wrote this paper in one go.

All that's left is some text editing and formatting, which is not a problem.

I stopped writing and looked, oh, it was already evening.

Sure enough, when you're immersed in one thing, time flies quickly, unlike the three minutes before lunch at school, which passes slower than hours.

Touch your stomach, just when you're hungry, let's eat first.

Cheng Nuo put away the manuscript paper, walked to the door, retrieved the coat from the hanger, put it on, locked the door, and prepared to go out to find a stall to eat a clean and hygienic meal.

Except, of course, bean juice.

The environment of this inn is good, but unfortunately the room rate does not include food, and the price of ordering food alone is a little expensive.

Now the work has not been determined, and the open source cannot be achieved, so I have to reduce expenditure.

It is better to spend a piece less than a piece of money, or to save a little.

After a day of snow, he can basically see the road and walk on the street, and he no longer has to worry about surprises waiting for him.

Unexpectedly, as soon as I walked to the door, I bumped into an acquaintance.

"Sir, it's not a coincidence, I just ran into you."

Looking up, isn't this Li Laosan, Cheng Nuo also hurriedly greeted: "It's a coincidence, master, have you eaten?" It's cold outside, so hurry up and sit inside. ”

Li Laosan waved his hand, signaling that he was not going to go over, and pointed to the bulging clothes that were a little cramped: "I have eaten at home, didn't I tell you to send fried triangles over in the afternoon, I will send it to you with oil paper as soon as this is out of the pot, a rough man, don't mind." ”

"But it's cold outside, I'm afraid it's cold, so I'll put it in your arms, and eat it while it's hot."

How could He De let people treat him like this.

Cheng Nuo was so moved that he took the oil paper bag and touched it, and it was really hot, and he even felt a little hot.

Seeing that Li Laosan was leaving, he refused to let him leave if he said anything.

"Lao Li, eat more and eat more, and wait until your body is warm before leaving."

Li Laosan didn't follow: "Sir, I really have eaten it, but I can't eat it." ”

"Old man, what's wrong with eating two more bowls of rice, besides, you're doing manual work, it's not bad."

directly pulled Li Laosan to the lobby of the inn and found a table to sit down.

"Lao Li, there's nothing to be afraid of, right?"

"Sir, I don't need to do this, I'm full at home, just order what you eat." Li Laosan was still making the last resistance and refused to invite him to dinner.

But some money cannot be saved, if you treat me sincerely, I will sincerely return to you.

Cheng Nuo shook his head: "Then Lao Li, I won't be taboo when you don't want to eat, and you won't regret buying the medicine if you are unhappy for a while." ”

After speaking, he imitated the locals and shouted to the guy: "Master, set up a pot!" ”

"Sesame paste, pickled leek flowers, soy tofu and so on are also on the plate."

"And your signature dish."

"Gotcha!"