Chapter 831: Riemann's conjecture

Inspiration is always born inadvertently.
In class, Lu Zhou recalled Riemann's conjecture on past and present life, and recalled many details that he ignored in studying the problem.
Although many of these details are irrelevant even when remembered, these irrelevant clues can play an amazing role at critical moments.
After returning to the office, Lu Zhou sat down at his desk, took out the draft paper from the drawer, and wrote down the things he thought of before.
"The Riemann conjecture is a conjecture proposed for the study of the π (x) function. Riemann's pioneering work was not to propose the Riemann conjecture, but to introduce the Riemann zeta function. Research has moved from a solid straight line to a complex plane. "
The tip of the pen slipped lightly over the paper, and Lu Zhou smoothly wrote a line of calculations.
[Π (x) = ∫dt / lnto (x ^ (1 / 2ε)) ……]
"The equivalent problem of Riemann's conjecture," stopped the pen in his hand, and lightly touched the paper with the tip of the pen. Lu Zhou's expression gradually showed a contemplative solemnity, and thoughtfully said to himself, " If the Riemann conjecture is true, the asymptotic formula is also true, and in turn the Riemann conjecture can be derived from this asymptotic formula ... "
"The key to solving the problem should be the π (x) function itself!"
A consciousness gradually developed in my heart, but I always felt that there was something worse.
It's like a piece of jigsaw puzzle that has been scattered to the third side, scattered with scattered pieces. It seems that there is nothing missing, but only the most critical key is missing.
If you find it, you can connect all the clues together, but if you can't find it, everything seems to be just empty talk.
After doing this for an hour and so at the desk, Lu Zhou returned to his heart suddenly until a gurgling sound was heard from his stomach.
But when he moved his eyes from the desktop to the dusk that gradually drifted away from the window, he unexpectedly discovered that he had been sitting at his desk for so long without knowing it.
"I didn't want to call you when I saw that you were too focused." Almost at this time, Assistant Lin's voice floated from the side. "Are you going to the cafeteria for a while?"
Looking back from the window and gradually climbing into the night sky, Lu Zhou looked at Assistant Lin who was standing at the door. After thinking for a moment, he said, "If you plan to go to the cafeteria, bring me a meal."
He probably planned to stay in the office for a while. In order not to interrupt the thoughts that he could not hold fast, he planned to go back later.
Lin Yuxiang blinked and asked, "Do you have Bibimbap?"
Lu Zhou gave her an unexpected look
"... you know what I'm going to say?"
Lin Yuxiang pouted and smiled, "Guess ~"
I don't know why, looking at her face knowing her own look, Lu Zhou felt a goosebump on her body, so she coughed softly.
"Suddenly I don't want to eat barbecued bibimbap to help me bring the rice with yellow pheasant chicken tonight ... Thank you."
After holding it for two or three seconds, Lin Yuxiang glanced at Lu Zhou with a grudge, and turned away.
Did not wait a long time.
Sitting at his desk, Lu Zhou continued to perform calculations on the draft paper. Assistant Lin, who had eaten in the cafeteria, quickly walked back with a box of yellow pheasant chicken rice and delivered the take-out to Lu Zhou's table. on.
The lid of the packing box was disassembled, and the rich chicken juice flew suddenly. Looking at the tender yellow chicken and red and green peppers, Lu Zhou suddenly moved his index finger, and tore up the disposable tableware. , Spoon a spoonful of soup and poured it on the white rice full of grains.
Perhaps because of his busy schedule, Lu Zhou found himself to have a crush on fast food. When I was in Princeton, I had a bacon sandwich. After I returned to China, it was either a bibimbap or something similar to bibimbap.
Although this diet is not healthy from a nutritional point of view, this inexpensive and full feeling can bring unexpected satisfaction, just like instant coffee.
Anyway, how does he eat the type that does not grow meat, coupled with the metabolic capacity strengthened by the system, the diet does not seem to interfere at all?
After hurriedly solving the dinner, Lu Zhou turned on the computer and conceived for a moment. Then, his ten fingers quickly tapped on the keyboard, turning the previously conceived content into a series of papers.
Although these things may only be some trivial ideas, every substantial progress in the study of ζ (s) will bring a huge boost to the research of the theory of the distribution of prime numbers. Therefore, even trivial ideas have their value. of.
Regardless of whether these things can resonate with other scholars and spark a more intense spark in the collision of ideas, Lu Zhou intends to hang these contents on arxiv.
After browsing the papers of other scholars for a while, Lu Zhou received an unexpected video call when Lu Zhou was going to turn off his computer and pack things home.
The video request was sent by his former student Qin Yue.
Pressing the connect button at random, looking at the familiar face appearing at the other end of the screen, Lu Zhou said with a smile and greeted.
"How have you been? Have you been working as a lecturer in Princeton?"
The background in the video is morning.
The man sitting in front of the camera looks the same as he did four years ago. It's just a bit less calm and more calm than when it was four years ago.
Looking at the mentor sitting in front of the camera, Qin Yue smiled and said, "Very well. Remember the members of the Ivy Club? I got it the next year after you left."
"They won't reject a mathematician who has proven Kakutani's conjecture," Lu Zhou joked, paused for a moment, and continued, "Is there anything to call me suddenly?"
Most of the mathematicians do not have any bowels and speak more directly. He pushed the glasses on the bridge of the lower nose, Qin Yue asked when he opened the door.
"You have been studying the Riemann conjecture recently?"
Lu Zhou: "... What's wrong?"
Qin Yue smiled a little embarrassedly: "Nothing, I just saw from your profile that there is an additional review record on your academic resume, which is related to Riemann's conjecture, so I was a little curious."
Lu Zhou couldn't help crying: "... Is this what you found?"
Mom, do you have to pay attention to me?
The general review record of such academic resumes is not to apply for a job in a research institution, who generally looks at this gadget?
Looking at Lu Zhou with a look of amazement, Qin Yue made a helpless expression: "I dare say that more than half of the scholars in the entire mathematics world are staring at your movements, and it's definitely not just me doing this alone."
Although I always felt that there were slots, Lu Zhou didn't know where to spit out for a while.
Opening his mouth, he nodded and accepted Qin Yue's guess.
"... I did study the Riemann conjecture recently."
When he heard that his former mentor was indeed trying to break through this century-old problem that had plagued the mathematics community for a century and a half, Qin Yue's face suddenly appeared interested, and he sat upright and asked.
"Are there any clues ... I mean ~ EbookFREE.me ~ Need my help?"
Having said all this, he suddenly realized that his request was a little embarrassing for a scholar, and immediately changed his mouth.
But Lu Zhou didn't care too much, just smiled and said.
"There are some clues, especially after seeing Molina's thesis, I am more sure of my guess."
Qin Yue: "What's the guess ... shall I easily know?"
"There is nothing inconvenient. If you can prove Riemann's conjecture according to my thinking, I will be happy for you," Lu Zhou smiled, and continued. "Let's get back to business, according to my observation, or guess, pass The method of advancing the lower bound estimation of the zero ratio on the critical line may still get more interesting conclusions, but it is unrealistic to solve the Riemann conjecture by this method. "
Hearing this sentence, Qin Yue's expression gradually became serious.
By advancing the method of estimating the lower bound of the zero ratio on the critical line, it can be said that it is one of the mainstream methods for studying the Riemann conjecture. The "best" result of the Riemann conjecture is also proved by this method. of.
However, Lu Zhou now said that this line might not work. Although his status did not make this sentence sound strange, it really surprised Qin Yue.
"what do you mean……"
Lu Zhou said in a serious tone: "Maybe we have to go back to the π (x) function itself in order to find the last puzzle to solve this problem."
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(Thank you for the reward of the book lover Zhong Zhong Trumpet ~~~)
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