Chapter 87 Something is broken
Needless to say, Su Kewei is a dignified doctoral student, but the boy next to him is actually nodding his head constantly?
Everyone was wondering where this monster came from. After all, Xu Qingzhou looked too young, his face was full of immaturity, and he could not be more than a junior in college.
Moreover, senior Meng Bin seems to be confused now.
Looking at the formula on the blackboard, Xu Qingzhou felt suddenly enlightened. Even if Gu Zhizhong didn't say anything, he should be able to continue working on it.
Gu Zhizhong is still writing, not very fast.
This may be the charm of mathematics. Even Gu Zhizhong has to calculate slowly to determine what the next step is.
Another 20 minutes passed.
The other blackboard is almost full.
Gu Zhizhong stopped and turned to look at Xu Qingzhou and Su Kewei: "Do you understand here?"
Su Kewei fell into thought.
Xu Qingzhou continued to nod. In the future, we need to introduce the complex analysis method in analytic number theory and study the distribution of prime numbers through the zero-point distribution of the Riemann zeta function.
Everyone in the audience was already numb.
Gu Zhizhong was a little surprised. He originally thought that Xu Qingzhou was studying this thing too early. After all, this was already a weakened version of the mathematical conjecture. Even he, a first-year PhD student, would probably take a few days to solve it.
He put down the chalk and said, "Write down the next steps."
Xu Qingzhou was not polite, went up and started writing.
The current purpose is to prove that f(p))≤3×(logp)^1.5 is true for all sufficiently large p.
Ten minutes later, Xu Qingzhou stopped, looked at the calculation process on the blackboard, and then nodded slightly , put down the chalk.
"That's great, but the rest requires you to go back and use a computer program to generate a large number of prime number pairs."
Gu Zhizhong nodded in approval. He only knew the idea but not the result, so he said: "This question is very sophisticated and difficult. If you solve it, you can bring it to me to see."
"Then I'll go back and do the calculations first." Xu Qingzhou was very motivated.
"Okay." Gu Zhizhong waved his hand.
Xu Qingzhou said goodbye to Gu Zhizhong and the others, and found an empty classroom. He was not in a hurry to do the next steps, but planned to read about Kramer's conjecture first.
Krammell's conjecture is an important problem in the field of mathematics, proposed by Swedish mathematician Harald Krammell in 1937.
This conjecture mainly focuses on the distribution law of adjacent prime numbers. Specifically, it involves some mathematical relationship or property between two adjacent prime numbers in the prime number sequence
Xu Qingzhou found it very interesting that two adjacent prime numbers Some mathematical properties between them are a bit like quantum entanglement. Two entangled particles still maintain a relationship with each other even after they are no longer coupled.
An hour later, he took a long breath and said, "It is indeed a difficult problem that has troubled the mathematics community. It is too difficult."
He rubbed his temples, put aside Kramer's conjecture for the time being, and planned to solve the castrated version of the prime number problem in his hand first.
The first step is to go through all the verification processes.
Then you need to use Python to use a computer program to generate prime numbers and calculate their intervals.
defis_prime(n): Check whether n is a prime number
ifnreturnFalse
foriinrange(2, int(math.sqrt(n))+1):
ifn%i==0:
22:30 PM.
"No, the value is very wrong. For (P, Q), the interval is 14, which is far smaller than the upper bound of 418.08."
Xu Qingzhou frowned, with a large amount of manuscript paper piled around him. Just when he was about to recalculate, he suddenly found that the phone in his pocket seemed to be vibrating.
When the call was connected, Song Yao's voice came: "You've been answering the phone for so long. What are you busy with?"
"Doing math problems." Xu Qingzhou was checking the manuscript paper to see which step had the problem.
Song Yao said "hmm" and reminded: "We will meet at the South Gate at 9 o'clock tomorrow morning to find Jiahui and the others. Don't forget."
Xu Qingzhou slid his fingers across the manuscript paper, paused slightly, and was a little speechless: "I'm not Alzheimer's yet, so I won't forget even this little thing."
"Also, the temperature will drop tomorrow, only 18 degrees. Remember to wear more clothes." Song Yao continued. "good."
Xu Qingzhou lowered his head to sort out the manuscript paper, looked at the rows of data, and nodded slightly.
Song Yao was a little unhappy: "Xu Qingzhou, can you be more perfunctory?"
"able."
Xu Qingzhou was completely focused on the numerical values and didn't pay attention to what Song Yao said. After he finished speaking, he felt something was wrong and stopped his fingers again: "What did you just say?"
"Xu Qingzhou, you are really going to piss me off!"
At this time, Xu Qingzhou suddenly noticed the function he was pressing down with his finger. There was an error in the calculation of this function. The problem seemed to be found!
"Classmate Song Yao, I love you so much! By the way, I have something else to do, see you tomorrow!"
If Song Yao hadn't interrupted him, he might have just passed by.
After hanging up the phone, he took a deep breath, recalculated, and redefined g(p)=3×(logp)^1.5+(p). This (p) is an error term related to p, which is used for adjustment. bounds to better fit the actual data.
Balcony of girls dormitory.
"Du~du~"
A blind tone came from the receiver.
Song Yao held the phone blankly, all the anger just now disappeared. What did that bastard say just now?
In late September, the temperature in Kyoto dropped sharply. When I went out in the morning, there was a chill in the air. The clothes Song Yao bought some time ago were of use.
On Saturday morning, Xu Qingzhou wore clean clothes and waved goodbye to the three singles in the dormitory.
"He looks like a dog." Xu Zhengyang complained secretly, feeling envious and jealous in his heart.
Kong Xianbo shook his head, I am getting stronger every day, Lao Xu, Lao Xu, wait to kneel on the ground and sing Conquer. With lofty dreams, he picked up his schoolbag and prepared to go out.
"Lao Kong, are you going out so early?" Xu Zhengyang wanted to catch up on some sleep.
Kong Xianbo said in a muffled voice: "Well, I didn't understand a few points in the senior class yesterday, so I went to the library to check some information."
Seeing that Kong Xianbo had already left, Zhai Ziqiang didn't stay and went to take guitar lessons with his guitar on his back.
As a result, Xu Zhengyang was the only one left in the dormitory. He breathed out, closed his eyes and prepared to continue sleeping.
10 minutes passed.
Swish~
Xu Zhengyang suddenly stood up from the bed, "I have to work hard too!"
He originally signed up for the guitar club, but after suffering a "love injury" some time ago, he quit the guitar club and hip-hop club to show his determination, and stayed in the Shanying Club.
Xu Zhengyang leaned on the bedside with a serious face, opened the address book, and dialed the top number.
Beep~
The call is connected.
"Senior, good morning. I got up early. To thank you for taking care of me these days, I'll treat you to dinner tonight."
"Okay." The girl opposite had a gentle voice, paused, and said, "Can I add one more person?"
Xu Zhengyang nodded with tears in his eyes: "Okay, there are many people and it will be lively."
"Okay, if you have no problem, I'll tell my boyfriend and we can go together."
Xu Zhengyang: "."
It seems like something is broken.
(End of chapter)