Chapter 56: The Man Who Forgot the New Year

Professor Hu disregarded his identity, put down all his face, and almost brought more help to Junxin in the way of begging for people, which caused a great sensation in the upper reaches of the academic circle, but Junxin, who was far away in Anhui Province, did not know at all, because at this time he was already immersed in the world of his own research and completely forgot the time.

Anyone who has ever had a scientific research experience will know that if there is a major breakthrough in their research project at a certain time, then everything else can be ignored except for research-related things, including important dates.

Today's Junxin is like this, the twin prime conjecture has always been one of his research contents, especially after joining Polymath, he has been on the proof of the twin prime conjecture for a period of time.

"Xiaojun, it's Chinese New Year's Eve today, you don't have anywhere to go here, why don't you come to my house for a New Year, what do you think?" After packing up his belongings, when Professor Wang went back, he saw that the light in Junxin's office was still on, so he walked in and greeted Junxin.

Jun Xin raised his head a little dazedly, glanced at Professor Wang, his eyes were slightly dull, obviously still immersed in his own thinking, and only the stress reaction to the outside world was left.

"Jun?" Professor Wang was not surprised by Junxin's state, for him he had encountered this situation many times, and he himself had entered this state many times.

Junxin's slightly dull gaze gradually came to life with Professor Wang's call, but in a minute or so, Junxin had completely sobered up.

"Professor Wang, why is it so late, you haven't gone back yet?"

Professor Wang suddenly couldn't cry or laugh, and said, "Aren't I about to go back?" By the way, ask you, it's Chinese New Year's Eve, your aunt made a table of good dishes, I thought about it, it seems that you don't have any place to go in Anhui Province, it's better to go back with me and spend the New Year together, how? ”

Junxin looked at Professor Wang a little at a loss and said, "This... Is this appropriate? ”

"Haha, you are Lao Hu's heart, if you come to Anhui Province, I won't take care of you, and the next time I go to the capital to see Lao Hu again, I won't be able to explain to him."

"Not that exaggerated, right?" Junxin was a little surprised and said, "I'm just in college!" ”

"It's because you went to college that you got Lao Hu's favor." Professor Wang said as a matter of course, "After all, you have made such great achievements at such a young age, although Lao Hu is not too clear because the situation is not too clear, he does not dare to let you be in the limelight, but in the same way, the pressure on your body is also he helped you to carry it, which shows how high his expectations are for you, and you can't live up to his expectations of you." ”

Junxin suddenly, no wonder even if he has made such great achievements, neither state institutions nor scientific research institutions have approached him, originally he thought that the limitations of this era made people lack of understanding of scientific research, so he did not know about his work, but now it seems that he was wrong.

"Professor Hu is like this to me, Junxin naturally won't let him down!" Jun Xin looked at the sky outside, and through the north window, it was already the beginning of starlight.

"If only you had this heart." Professor Wang said that he did not say what Professor Hu did for him, "Okay, don't talk about this, come to my house for dinner later, your aunt is ready, don't make us wait too long." ”

"Thank you, Professor, I'm done here, so naturally I'll go, looking forward to my aunt's craftsmanship!"

"Haha, okay, I'll come over in a while, you've already been to my house, you know the route or something, I'll go first."

"Well, see you later!"

Professor Wang left Junxin's office, and Junxin continued to do his own research. In fact, it stands to reason that he has made results in the twin prime conjecture, and he can apply it directly, which can save a lot of trouble. However, he did not use the sieve method for research, which is generally called the non-estimation method, but Junxin used another method, that is, the estimation method.

The vernacular translation of this proof formula is the ratio of the interval between two adjacent primes to the logarithm of the smaller of the primes to the smallest of the entire set of primes. Obviously, if the twin prime conjecture is true, then Δ must be equal to 0.

However, this method also has limitations, if Δ≠0 can be proved, then the twin prime conjecture is not valid; However, if Δ≠0 can be proved, the twin prime conjecture is not true; However, proving that Δ=0 does not mean that the twin prime conjecture is necessarily true, but it does not mean that the twin prime conjecture is necessarily true. Therefore, Junxin has only seen reports on this aspect before, but has not strictly proved this method.

The work that Junxin needs to do is not simply to follow the previous research, but to try to prove Δ=0 from another aspect. In a sense, Mr. Zhang Yitang's proof of the twin prime conjecture is more focused on the development of previous methods, and the methods used have not been surpassed.

However, after Δ = 0 was proven, people's attention naturally turned to the way in which Δ tends to 0. Goldston and Yildirim's proofs give Δ~[log(pn)], and there is still a considerable distance between the two. But some mathematicians who have seen Goldston and Yildirim's manuscripts believe that there is room for improvement in the methods used by Goldston and Yildirim. This means that their method may be able to make a stronger estimate of how Δ tends to 0. Therefore, the value of Goldston and Yildirim's proof lies not only in the results themselves, but also in the fact that they are likely to be the starting point for a series of future studies.

What Junxin needs to do now is to prove Δ=0 alone, not to prove 70 million or 246 narrowed down. Because he believes that the research of the former has the potential to open up a new path, and if the door of this road is opened, it may give rise to a series of new ideas.

Time passed bit by bit, and in the tense calculation, Junxin didn't notice the passage of time at all, and naturally he didn't notice the dinner agreed with Professor Wang.

Similarly, for Professor Wang, who went and returned, Junxin was not aware of it at all. And Professor Wang, who came to call him, after seeing some of Junxin's proof process and the results of the calculation, also fell into thinking, and completely forgot to go and return to the original intention.

Of course, fortunately, because of Professor Wang's preferential treatment of Junxin, there are radiators in this room, otherwise two people who have not moved for a long time will have inconvenience in their hands and feet and frostbite all over their bodies in this cold night.

Time passed bit by bit, two old and young people who had forgotten themselves sat opposite each other, completely forgetting the interference of the outside world, and at this time, the distant bell seemed to reach this room, and the sound of "jingling" was exactly twelve times.

The new year has arrived, but there are still two people here who have forgotten the new year and are still reasoning and calculating.