Chapter 179 This cake is big and round
The owner of this poster announcing the proof of the "Goldbach Conjecture" is a haggard-looking German uncle. It seems that he has not slept well for a few days. There are a lot of formulas written on the two blackboards next to him.
Most people passing by just glanced at it and lost interest in it.
Xu Qingzhou had a strange expression. He stood in front of the blackboard and read the formulas on the two blackboards carefully.
After 3 minutes, I finished reading.
The uncle's eyes were burning: "Hi, from Xia country?"
"Hello." Xu Qingzhou nodded.
As if he had found a confidant, the uncle pulled Xu Qingzhou and said, "If you are from Xia, you must be very good at mathematics. Come, take a look at this. I will adjust your country's weighted screening method to make it smoother than before."
In the eyes of quite a few foreigners, Xia people are all math masters.
Xu Qingzhou said nothing and listened to him share the results.
"Then, use the circle method to prove that every sufficiently large odd number can be expressed as the sum of three prime numbers."
"If you are interested in cooperating with me, don't doubt it. In the near future, you will witness the birth of a miracle!"
Look at this cake, it's big and round.
Xu Qingzhou smiled helplessly, pointed to one of the steps on the blackboard, and said:
"p is a prime number, i and j are positive integers. This set contains 1, all prime numbers and their powers. Although even numbers are rare, there are still infinite ones. Here, how do we calculate to x\logx?"
The uncle was stuck and stared at the place where Xu Qingzhou pointed out the problem.
Everyone else in the classroom shook their heads, secretly thinking that this young man from Xia Kingdom was too young to actually take a serious look.
At this conference, there are one or two people who go crazy every year. Last year, someone announced that he had proved the Riemann Hypothesis. The year before last, it seemed to be the twin prime conjecture.
There are always people trying to make a splash here.
"Wait a minute. I'm looking for information. Trust me, I'll figure it out soon!" The uncle took a deep breath and rummaged around in his schoolbag.
Xu Qingzhou shook his head with a smile, turned around and walked away, leaving the uncle with a face full of unwillingness. Although it was a bit cruel, this kind of proof that ignores a certain necessary condition is meaningless, but if this condition is added, the road ahead is basically a dead end.
At 8:30 in the morning, almost everyone had arrived, and everyone was busy communicating or showing their results. There were two blackboards, three or two people sitting together, and it was a small exchange meeting.
At the entrance of Lecture Hall 2.
"Xu Qingzhou?"
Xu Qingzhou was just about to go in when a voice sounded behind him, and he could faintly hear his name being called.
He turned around, and there was a girl standing behind him, looking at him curiously.
"Hello?"
Xu Qingzhou said hello while observing the girl. She looked about twenty-five or sixty-six, with blond hair and blue eyes, and a few freckles on her cheeks. She was very good-looking.
The girl stretched out her hand: "I'm Kathleen Mills, nice to meet you, Xu."
Xu Qingzhou immediately understood that this person was the owner of the blue pickup truck. He smiled and extended his hand: "Miss Mills, nice to see you too."
"Xu, you look better than the photos." Kathleen praised.
"Thank you, I think so too." Xu Qingzhou also recognized his appearance very much.
Katherine felt that this Xia native was a little different. He was not as overly modest as the others. "We can go in and sit and chat, otherwise there will be no more seats in a while." The two of them walked in and found a seat in the middle.
Kathleen said: "I studied Kramer's theorem, but gave up after studying it for a week."
"Miss Mills specializes in the field of number theory?"
"Call me 'Kathleen'."
Kathleen smiled softly and added: "My master's degree is in prime number theory, and now I am doing discrete mathematics with the teacher."
"A very interesting field." Xu Qingzhou praised. In terms of discrete mathematics, such as graph theory, set theory, logic, etc., his knowledge of graph theory was used in his Kramer conjecture.
"Rather than listening to your praise, I would rather know how you came up with the idea of transitioning to the adjacent iterative expression of functions with prime difference intervals when you were proving Kramer's theorem."
Kathleen was full of apologies and said, "Sorry, I was planning to wait until next Tuesday to ask you questions, but you know, it's hard to suppress curiosity in this situation."
"My pleasure."
Xu Qingzhou has rehearsed this question many times and can answer it without even thinking: "Here, you need to first give the ratio of the difference between the prime number and the subsequent adjacent prime number and the square of the natural logarithm of the prime number."
At 9 o'clock sharp, the first report meeting officially started.
At this time, the reporting hall was quite lively and full of people.
A figure walked in from outside the auditorium. He walked quickly towards the podium. When the man walked in, the lecture hall burst into loud applause.
He was a middle-aged man with a beard and an old jacket.
This man is Benji Dutt.
Professor Dart bowed to everyone, without any extra greetings, then picked up the chalk on the side and wrote a row of formulas on the blackboard,
L(s,\chi)=\sum_{n=1 }^\i=n=1∑∞nsχ(n)=χ(1)+2sχ(2)+3sχ(3)+
“A year ago, my assistant and I were studying the formula of class numbers and Gallo Hua expressed the theory and found that the Dirichlet L function did not meet our needs."
"Although the L function was originally defined in the region of σ > 1, through analytical continuation we can extend its definition to the entire complex plane. Except, of course, possible poles or essential singularities."
The 60-minute presentation will fly by.
After Professor Dart finished speaking, it was time for questions.
Pure mathematical communication, Xu Qingzhou sat in the last row, listened very carefully, and gained a lot of new understanding of the L function. Unfortunately, he did not use the continuation property. The current L function can already meet his needs. Research.
At the end of the lecture, many scholars went up to communicate with Professor Dart. Xu Qingzhou exhaled and walked out of the lecture hall with Kathleen.
As soon as she left the lecture hall, Kathleen said to Xu Qingzhou: "Xu, I'm afraid I have to take the first step. I originally wanted to continue the discussion with you."
"It's okay. I'll have a chance next time." Xu Qingzhou nodded.
Kathleen didn't waste any time and walked out of the hall, but after taking two steps, she suddenly turned back and stopped in front of Xu Qingzhou, opened her notebook, and wrote something.
Soon, she had finished writing, tore off the manuscript paper, handed it to Xu Qingzhou, and smiled softly, "If you want someone to take you around here, call me."
"Thanks."
Xu Qingzhou laughed dumbly. He didn't expect that the other party came back because of this. The note had Kathleen's phone number and email address on it.
"goodbye."
"goodbye."
After leaving Kathleen, Xu Qingzhou walked around the lecture hall and found nothing worthy of discussion and communication. He simply went back to the hotel and had lunch on the second floor before going back to his room and immersed himself in the twin prime conjecture. In calculation.
(End of chapter)