I'm the top student in Conan, but I'm actually an onmyoji.

That night, Sagawa Yan and Sonoko, who had already returned home, were called to the Metropolitan Police Department. It turned out that Minagawa Katsuhiko, a man with 10 spiritual powers, was still dead. Sagawa Yan and others who had been in contact with them at that time were called to go. do research.

Sagawa Yan didn't feel much other than regretting the 10 points of spiritual power.

On the contrary, Conan staged a plot to solve the case of sleeping Kogoro in front of him, which was quite exciting.

Unfortunately, too much time has passed and the real murderer, the deceased's aunt, has destroyed the evidence and cannot arrest her.

After watching a big show, Sagawa Yan returned to his home and continued to fight against Kakutani's conjecture.

In the next few days, Sagawa went to school as usual, slept in class as usual, and did not go to the library after class, studying the Kakutani conjecture like an obsession.

Master Goro Shimura, who defeated Toto University, learned about his research topic through Mr. Ishida and sent someone to deliver a paper.

It is an old paper from 1994. Professors L. Berg and G. Meinardus proved that the 3n+1 conjecture is equivalent to the functional equation h (z^3).

This paper proves that [h(z^3)=h(z^6)+{h(z^2)+h(z^2)+^2h(^2z^2)}/ 3z] (where=e^{2i/3}）

【g(z)=z/2+(1?cosz)(z+1/2)/2+1/(1/2?cosz) sinz+h(z)sin2z satisfies N(g)】According to the two

papers From the author's point of view, as long as it is proved that there can exist an integer function h(z), for the above g(z), for each branch D of Φ(g) containing a certain positive integer, z0∈D exists, such that [gok(z0 )] converges to 1...

It can prove that 3n+1 is true!

Unfortunately, two years have passed and no one in the world can prove this integral function.

But this also made Sagawa Yan feel like he had found a treasure. If he was walking alone in the dark, then the appearance of this paper helped him light a candle. Although it was small, it illuminated the way forward.。

“However, this era is still inconvenient. Many papers are difficult to find online, and these professors have not yet thought of uploading papers. "

Sagawa Yan bit the end of his pen, thinking with pain, and then threw himself into the complex function transformation.

Sitting beside him was Sonoko, who was reading a fashion magazine.

In the past few days, Sonoko finally realized what the real top students usually do. Are

you looking for a date with him? I don’t have time for the moment, so make an appointment at home. Go

out to eat together? I don’t have time for the moment, so just deal with it at home.

But I still stay by his side without any complaints, and don’t even go to my favorite shopping. It's really strange.

However, when she curiously told the housekeeper Grandpa Gao Cang about her boyfriend's behavior and asked him if all boys were like this. After

hearing this, Grandpa Gao Cang laughed for a long time, touched her head and told her, Boys who work hard are the most handsome.

She confirmed it,

and he is indeed very handsome. At this time, Sagawa Yan no longer remembers his girlfriend beside him. He has gone deep into the world of mathematics, and the complex relationships between those functions have occupied him. mind。

“An equation transformation should be done here to transform h(z) into n(z), and then a Fourier transformation should be done. The result must be substituted here....”

There are more and more manuscript papers on the table, and the pen in my hand never stops.

After a long time, Sagawa Yan finally put down the pen in his hand and leaned back on the chair, "Phew, I made a little progress today, which is very good."

Then he remembered his girlfriend, "Sonoko, I'm sorry to ask you again. I sat next to you all night."

Yuanzi shook his head and smiled, "You are trying hard to do what you like, it doesn't matter."

Sagawayan held her hand, "When I finish this time, we Just go out and have fun。”

“Um! Yuanzi

nodded heavily, "By the way, Yan, a letter full of English was just sent to me. I can't understand it. I put it next to your table." "

Only then did he notice a letter lying on the corner of the table.。

“Could it be that one? "

Sagawa Yan's heart began to beat wildly. The letter was sent from New York. It must be from the magazine "Communications of Theoretical and Applied Mathematics". He couldn't wait to open

the envelope and check it carefully.。

“Dear Mr. Sagawa, I am pleased to inform you that your paper Mersenne Prime Distribution Law has been reviewed by the academic editor and will be published in this month's issue of this magazine in three days' time, and will also be included in the SCI journal database. For reference by researchers in the global mathematics community. "

Sagawayan couldn't restrain his excitement. He picked up Yuanzi and spun around in circles several times.