Xueba starts with change
Chapter 290 There is such a moment
Chapter 290 There is such a moment
For now, Zhang Yitang can be said to be the top mathematician in this field.
His result is recognized as a great achievement by international mathematicians.
This is evident from the British journal Nature calling his work an "important milestone".
Of course, Chen Zhou had carefully studied Zhang Yitang's thesis.
He never shy away from standing on the shoulders of giants.
In his view, the inheritance of science should be like this.
"Professor Zhang, I have two small questions I want to discuss with you." Chen Zhou thought of the contents of Zhang Yitang's paper.
"You're welcome, just tell me." Zhang Yitang said with a smile on his face.
When Chen Zhou heard the words, he picked up a pen and wrote down a line of calculation on the draft paper: "It's about the result here."
Zhang Yitang took the draft paper and glanced at it, his eyebrows trembled. This is the beginning of part 14 of his favorite work.
【|k~K∑N(d1, k)|^2≤P1P2】
Looking at the calculation 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 did you come to this step?"
Chen Zhou nodded lightly: "That's right, the main point is the key point. How should I put it, I know what it is, but I don't know why."
Zhang Yitang smiled, took the pen, and filled in the formulas in front of the thesis.
【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)n3N3′(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 to the formula on it with a pen, and began to explain it to Chen Zhou as a whole.
Chen Zhou listened very seriously, at this moment he just felt that he didn't come in vain.
The communication with Zhang Yitang alone has benefited him a lot.
"If we get here..." Zhang Yitang once again used a pen to supplement the content of the formula on the draft paper.
"The constraints of this Σ' are 1≤h<H, (h, d1)=1, and n2N2'..."
"Reconnect with formulas 13-16 in the paper, you should understand, right?"
Chen Zhou nodded: "So, this is the beginning of deriving the follow-up conclusion, but in fact, at this point, it suddenly becomes clear."
Zhang Yitang had an admiring look in his eyes: "That's right."
Chen Zhou looked at the draft paper in front of him, and some thoughts arose in his heart.
The formulas are indeed spiritual.
After a pause, he asked again: "Professor Zhang, I still have a small question."
Zhang Yitang thought for a while, and probably guessed what Chen Zhou wanted to ask.
He said directly: "In the study of the twin prime number conjecture, you have to imagine that this is completely from scratch. Because we really don't know. It's like thinking that the universe is infinite and has no boundaries, but finds it in a certain place. Where there is an end."
This statement is a bit interesting...
Chen Zhou nodded slightly, waiting for Zhang Yitang's next words.
Zhang Yitang glanced at Chen Zhou and continued, "Imagine a ruler for measuring green and red numbers. We can use this ruler to move along the number axis and circle two prime numbers countless times."
"But enclosing infinitely many numbers does not necessarily mean enclosing all the numbers, because there are some situations, such as infinitely many numbers that are even numbers, but there are also infinitely many numbers that are odd numbers."
"In the same way, this ruler can also move countless times along the number axis, but it can't 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 previous coffee shop breathed a sigh of relief when he saw that his coffee was finally picked up for tasting.
Zhang Shouwu naturally heard what Zhang Yitang said just now.
However, for him who has discussed with Zhang Yitang many times, he has heard these words at least three times.
After a long time, Chen Zhou said slowly: "So, you chose a ruler with a length of 7000 million."
Zhang Yitang nodded: "Now this ruler has been shortened to 256."
Chen Zhou smiled, he could only hear a hint of complacency now.
Indeed, after Zhang Yitang opened the door, countless mathematicians started a competition.
But in a sense, these mathematicians are all "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 purely a technical job, a kind of physical labor.
This is the difference between the pioneer and the successor.
It was also Zhang Yitang's rare complacency at this time.
Chen Zhou suddenly thought of an interesting principle, as if a certain mathematician described Zhang Yitang's work.
He compared Zhang Yitang's work to the pigeonhole principle.
That is, assuming that there are 7000 million pigeonholes and infinitely many pigeons, each pigeon represents a pair of prime numbers.
Put the pairs of prime numbers whose difference is 2, that is, pigeons, into a pigeonhole.
Put the pigeons with a difference of 3 into another nest.
By analogy, put all the pigeons with different intervals into a pigeonhole.
Finally, there will be pigeonholes with infinitely many pigeons.
But it is impossible to know which pigeonhole it is, there are infinitely many pigeons.
However, there is at least one pigeonhole with infinitely many pigeons.
At this time, Zhang Yitang looked at the time and said to Chen Zhou: "I have other things to do, so I have to leave first, looking forward to your report meeting the day after tomorrow."
"Okay, you are busy first." Chen Zhou replied.
"Let's go now?" Zhang Shouwu said at the right time, "Would you like to sit down any longer?"
Zhang Yitang said with a smile: "Isn't it the last time you let the pigeons go? Next time I visit you in Princeton, is that okay?"
Zhang Shouwu said immediately: "You said this, I didn't force you, did I?"
Zhang Yitang shook his head slightly: "Got it, got it."
After Zhang Yitang left, Zhang Shouwu asked, "What about you, are you going to attend the lecture again, or?"
Chen Zhou thought for a while and said, "I plan to go back to the hotel first."
Zhang Shouwu was taken aback for a moment, then asked immediately, "Any ideas?"
Chen Zhou hesitated and said, "Very vague."
At the entrance of the cafe, Zhang Shouwu looked at Chen Zhou's leaving back with complicated emotions.
Looking at the draft paper with the formula in his hand, his expression also became weird.
"This kid, looking for inspiration everywhere? Why didn't I hear that there is any inspiration in Lao Zhang's words?"
On the way back to the hotel, Chen Zhou thought back to Zhang Yitang's words just now.
As he said, for a moment, he seemed to catch something.
However, very vague.
But he didn't want to let this fuzzy thing go easily.
For inspiration, if you let him dove once, he may let you dove for a lifetime.
Back at the hotel, Chen Zhou turned on the computer.
The scroll wheel of the mouse keeps sliding and clicks occasionally.
Chen Zhou is looking for Zhang Yitang's paper on the twin prime number conjecture.
Papers are lying in the depths of a certain folder.
Double click.
turn on.
Chen Zhou reorganized the content of the paper.
(End of this chapter)
For now, Zhang Yitang can be said to be the top mathematician in this field.
His result is recognized as a great achievement by international mathematicians.
This is evident from the British journal Nature calling his work an "important milestone".
Of course, Chen Zhou had carefully studied Zhang Yitang's thesis.
He never shy away from standing on the shoulders of giants.
In his view, the inheritance of science should be like this.
"Professor Zhang, I have two small questions I want to discuss with you." Chen Zhou thought of the contents of Zhang Yitang's paper.
"You're welcome, just tell me." Zhang Yitang said with a smile on his face.
When Chen Zhou heard the words, he picked up a pen and wrote down a line of calculation on the draft paper: "It's about the result here."
Zhang Yitang took the draft paper and glanced at it, his eyebrows trembled. This is the beginning of part 14 of his favorite work.
【|k~K∑N(d1, k)|^2≤P1P2】
Looking at the calculation 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 did you come to this step?"
Chen Zhou nodded lightly: "That's right, the main point is the key point. How should I put it, I know what it is, but I don't know why."
Zhang Yitang smiled, took the pen, and filled in the formulas in front of the thesis.
【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)n3N3′(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 to the formula on it with a pen, and began to explain it to Chen Zhou as a whole.
Chen Zhou listened very seriously, at this moment he just felt that he didn't come in vain.
The communication with Zhang Yitang alone has benefited him a lot.
"If we get here..." Zhang Yitang once again used a pen to supplement the content of the formula on the draft paper.
"The constraints of this Σ' are 1≤h<H, (h, d1)=1, and n2N2'..."
"Reconnect with formulas 13-16 in the paper, you should understand, right?"
Chen Zhou nodded: "So, this is the beginning of deriving the follow-up conclusion, but in fact, at this point, it suddenly becomes clear."
Zhang Yitang had an admiring look in his eyes: "That's right."
Chen Zhou looked at the draft paper in front of him, and some thoughts arose in his heart.
The formulas are indeed spiritual.
After a pause, he asked again: "Professor Zhang, I still have a small question."
Zhang Yitang thought for a while, and probably guessed what Chen Zhou wanted to ask.
He said directly: "In the study of the twin prime number conjecture, you have to imagine that this is completely from scratch. Because we really don't know. It's like thinking that the universe is infinite and has no boundaries, but finds it in a certain place. Where there is an end."
This statement is a bit interesting...
Chen Zhou nodded slightly, waiting for Zhang Yitang's next words.
Zhang Yitang glanced at Chen Zhou and continued, "Imagine a ruler for measuring green and red numbers. We can use this ruler to move along the number axis and circle two prime numbers countless times."
"But enclosing infinitely many numbers does not necessarily mean enclosing all the numbers, because there are some situations, such as infinitely many numbers that are even numbers, but there are also infinitely many numbers that are odd numbers."
"In the same way, this ruler can also move countless times along the number axis, but it can't 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 previous coffee shop breathed a sigh of relief when he saw that his coffee was finally picked up for tasting.
Zhang Shouwu naturally heard what Zhang Yitang said just now.
However, for him who has discussed with Zhang Yitang many times, he has heard these words at least three times.
After a long time, Chen Zhou said slowly: "So, you chose a ruler with a length of 7000 million."
Zhang Yitang nodded: "Now this ruler has been shortened to 256."
Chen Zhou smiled, he could only hear a hint of complacency now.
Indeed, after Zhang Yitang opened the door, countless mathematicians started a competition.
But in a sense, these mathematicians are all "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 purely a technical job, a kind of physical labor.
This is the difference between the pioneer and the successor.
It was also Zhang Yitang's rare complacency at this time.
Chen Zhou suddenly thought of an interesting principle, as if a certain mathematician described Zhang Yitang's work.
He compared Zhang Yitang's work to the pigeonhole principle.
That is, assuming that there are 7000 million pigeonholes and infinitely many pigeons, each pigeon represents a pair of prime numbers.
Put the pairs of prime numbers whose difference is 2, that is, pigeons, into a pigeonhole.
Put the pigeons with a difference of 3 into another nest.
By analogy, put all the pigeons with different intervals into a pigeonhole.
Finally, there will be pigeonholes with infinitely many pigeons.
But it is impossible to know which pigeonhole it is, there are infinitely many pigeons.
However, there is at least one pigeonhole with infinitely many pigeons.
At this time, Zhang Yitang looked at the time and said to Chen Zhou: "I have other things to do, so I have to leave first, looking forward to your report meeting the day after tomorrow."
"Okay, you are busy first." Chen Zhou replied.
"Let's go now?" Zhang Shouwu said at the right time, "Would you like to sit down any longer?"
Zhang Yitang said with a smile: "Isn't it the last time you let the pigeons go? Next time I visit you in Princeton, is that okay?"
Zhang Shouwu said immediately: "You said this, I didn't force you, did I?"
Zhang Yitang shook his head slightly: "Got it, got it."
After Zhang Yitang left, Zhang Shouwu asked, "What about you, are you going to attend the lecture again, or?"
Chen Zhou thought for a while and said, "I plan to go back to the hotel first."
Zhang Shouwu was taken aback for a moment, then asked immediately, "Any ideas?"
Chen Zhou hesitated and said, "Very vague."
At the entrance of the cafe, Zhang Shouwu looked at Chen Zhou's leaving back with complicated emotions.
Looking at the draft paper with the formula in his hand, his expression also became weird.
"This kid, looking for inspiration everywhere? Why didn't I hear that there is any inspiration in Lao Zhang's words?"
On the way back to the hotel, Chen Zhou thought back to Zhang Yitang's words just now.
As he said, for a moment, he seemed to catch something.
However, very vague.
But he didn't want to let this fuzzy thing go easily.
For inspiration, if you let him dove once, he may let you dove for a lifetime.
Back at the hotel, Chen Zhou turned on the computer.
The scroll wheel of the mouse keeps sliding and clicks occasionally.
Chen Zhou is looking for Zhang Yitang's paper on the twin prime number conjecture.
Papers are lying in the depths of a certain folder.
Double click.
turn on.
Chen Zhou reorganized the content of the paper.
(End of this chapter)
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