Volume 1: Student Life Chapter 290 There is such a moment
At present, Zhang Yitang can be said to be the top mathematician in this field.
His results are recognized as a great achievement by international mathematicians.
This can be seen from the fact that the British magazine Nature called his work an "important milestone".
Chen Zhou had naturally studied Zhang Yitang's paper carefully.
He has never been shy about standing on the shoulders of giants.
In his opinion, this .
"Professor Zhang, I have two small questions I would like to discuss with you." Chen Zhou thought of the content in Zhang Yitang's paper.
"You're welcome, go ahead." Zhang Yitang said with a smile.
Upon hearing this, Chen Zhou picked up a pen and wrote a line of equation on the draft paper: "This is the result here."
Zhang Yitang took the draft paper and took a look at it. His eyebrows couldn't help but twitch. This was the beginning of the 14th part of his masterpiece.
[|k～K ∑N（d1,k）|^2≤P1P2】
Looking at the formula on the draft paper, Zhang Yitang asked softly: "You should have no problem with the derivation here, so you want to ask me why I came to this step?"
Chen Zhou nodded gently: "Yes, that's the key point. How should I put it? I know the fact but not the reason."
Zhang Yitang smiled, took the pen, and filled in the formulas at the beginning of the paper.
【h￣（n2＋hkr）≡￣l＋kr（mod d1）……】
[(h, d1) = (n2 + hkr, d1) = 1, l ≡￣hn2 (mod d1)...]
[N(d1,k)=l(mod d1)(l+kr,d1)=1∑v(l;d1)n3≈N3′(n3,d1)=1∑ed1(b￣(l+kr)n3)… 】
[v(l;d1)=￣hn2≡l(d1)∑′f(h/d1)……]
After finishing writing, Zhang Yitang put the draft paper on the table, pointed at the formula on it with a pen, and began to explain the whole thing to Chen Zhou.
Chen Zhou listened very carefully, and at that moment he felt that his trip was not in vain.
Just the communication with Zhang Yitang has benefited him a lot.
"Up to this point..." Zhang Yitang once again used a pen to supplement the formula on the draft paper.
"The constraints on this ∑′ are 1≤h＜H, (h, d1)=1, and n2≈N2′..."
"Consider equations 13-16 in the paper, and you should understand, right?"
Chen Zhou nodded: "So, this is the beginning of the deduction of subsequent conclusions, but in fact, at this point, it becomes clear."
Zhang Yitang said with admiration: "That's right."
Chen Zhou looked at the draft paper in front of him and some thoughts came to his mind.
Formulas are indeed spiritual.
After a pause, he asked again: "Professor Zhang, I have another small question."
Zhang Yitang thought for a moment and roughly guessed what Chen Zhou wanted to ask.
He said directly: "In the study of the twin prime conjecture, you have to imagine that this is completely out of nothing. Because we really don't know. It's like we thought the universe was infinite and had no boundaries, but found that it had an end somewhere."
This statement is interesting...
Chen Zhou nodded slightly and waited for Zhang Yitang's next words.
Zhang Yitang glanced at Chen Zhou and continued, "Imagine there is a ruler that measures the green and red numbers. We can move this ruler along the number axis and circle the two prime numbers countless times."
"But enclosing an infinite number of numbers does not necessarily enclose all the numbers, because there are some cases, such as there are an infinite number of even numbers, but there are also an infinite number of odd numbers."
"By the same token, this ruler can be moved along the number axis countless times, but it cannot circle two prime numbers."
After Zhang Yitang finished speaking, he looked at Chen Zhou who was lost in thought, silently picked up the coffee on the table and took a sip.
The waiter in the cafe breathed a sigh of relief when he saw his coffee was finally served.
Zhang Shouwu naturally also heard what Zhang Yitang said just now.
However, as he had discussed this with Zhang Yitang many times, he had heard these words at least three times.
After a long while, Chen Zhou slowly said: "So, you chose a ruler with a length of 70 million."
Zhang Yitang nodded: "Now this ruler has been shortened to 256."
Chen Zhou smiled, and only now could he hear a hint of pride in his voice.
Indeed, after Zhang Yitang opened the door, countless mathematicians started competing.
But in a sense, these mathematicians are just "working" for Zhang Yitang.
Because Zhang Yitang himself is not interested in finding the minimum number of intervals.
He felt that this kind of work was a technical job and a physical labor.
This is the difference between pioneers and successors.
It was also a rare look of pride that Zhang Yitang showed at this moment.
Chen Zhou suddenly thought of an interesting principle, which seemed to be what a mathematician used to describe Zhang Yitang's work.
He compared Zhang Yitang's work to the pigeon hole principle.
That is, suppose there are 70 million pigeon holes and an infinite number of pigeons, and each pigeon represents a prime number pair.
Put pairs of prime numbers whose difference is 2, that is, pigeons, into a pigeon hole.
Put the pigeons with a difference of 3 into another pigeon nest.
And so on, put all the pigeons with different intervals into one pigeon nest.
Finally, there will be a dovecot with an infinite number of pigeons.
But there is no way to know which pigeon nest it is, as there are an infinite number of pigeons.
However, there is at least one dovecot with an infinite number of pigeons.
At this time, Zhang Yitang looked at the time and said to Chen Zhou, "I have something else to do, so I have to leave first. I look forward to your lecture the day after tomorrow."
"Okay, you go ahead and do your work first." Chen Zhou replied.
"You're leaving now?" Zhang Shouwu asked at the right time, "Aren't you going to stay a little longer?"
Zhang Yitang smiled and said, "I just stood you up last time. I'll visit you in Princeton next time, okay?"
Zhang Shouwu immediately said, "You said this, I didn't force you to do it, did I?"
Zhang Yitang shook his head slightly: "I know, I know."
After Zhang Yitang left, Zhang Shouwu asked, "What about you? Are you planning to go to the lecture again?"
Chen Zhou thought for a moment and said, "I plan to go back to the hotel first."
Zhang Shouwu was slightly stunned, then asked, "Do you have any ideas?"
Chen Zhou hesitated and said, "It's very vague."
At the door of the cafe, Zhang Shouwu looked at Chen Zhou's departing back with mixed feelings.
Looking at the draft paper with the formula written on it in his hand, his expression became strange.
"This kid, looking for inspiration everywhere? Why can't I hear what Lao Zhang said, what's inspiring?"
On the way back to the hotel, Chen Zhou recalled what Zhang Yitang had just said.
As he said, for a moment he seemed to have grasped something.
But, it's very blurry.
But he didn't want to let this vague thing go easily.
Inspiration is something that, if you let it down once, it may let you down for the rest of your life.
Back at the hotel, Chen Zhou turned on his computer.
The mouse wheel keeps sliding and occasionally clicking.
Chen Zhou is looking for the paper published by Zhang Yitang on the twin prime conjecture.
The thesis is lying deep in a folder.
double click.
Open.
Chen Zhou reorganized the contents of the paper.
