Chapter 831

Inspiration is always born inadvertently.

Previously in class, Lu Zhou recalled a lot of details that he ignored when he studied the problem through combing Riemann's conjecture about past life and present life.

Although these details are irrelevant even when they are remembered, they can play an amazing role in critical moments.

After returning to the office, Lu Zhou sat down at his desk, took out the sketch paper from the drawer, and wrote down the things he had thought of one by one.

"Riemann conjecture is a conjecture put forward to study π (x) function. Riemann's pioneering work is not to put forward Riemann conjecture, but to promote the study of π (x) from real line to complex plane by introducing Riemann zeta function."

The tip of the pen glided across the paper, and the boat smoothly wrote a line of calculations.

【π(x)=∫dt/lnt+O（x^（1/2+ε））…… ]

"the equivalence problem of Riemann conjecture", stop the pen in hand and light the paper with the tip of the pen, the expression of Lu Zhou gradually appears a piece of contemplative dignified, thoughtful self saying, "if Riemann conjecture holds the same progressive formula, and in turn, from this asymptotic formula, Riemann conjecture can be deduced..."

"The key to solving the problem is the π (x) function itself!"

Gradually, there is a glimmer of enlightenment in my heart, but I always feel something worse.

It's like a piece of puzzle that has been put together to one third. It seems that there is no lack of anything but the key.

If you find it, you can connect all the clues together. If you can't find it, it seems that everything is just empty talk.

In this way, I worked in front of my desk for an hour, until my stomach made a "goo" sound, and Lu Zhou suddenly came back to me.

When he moved his eyes from the desk to the dusk, he found that he had been sitting at his desk for so long.

"I didn't give up to call you when I saw that you were too focused." almost at this time, assistant Lin's voice came from the side. "Are you going to the canteen later?"

He took his eyes back from the window and climbed up to the sky. Lu Zhou looked at assistant Lin standing at the door, thought for a moment and said, "if you are going to the canteen, take my meal."

He's probably going to stay in the office for a while. In order not to interrupt his hard to grasp ideas, he's going to go back a little later.

Lin Yuxiang blinked and asked, "is BBQ bibimbap?"

Lu Zhou took an unexpected look at her How do you know I'm going to say that? "

Lin Yuxiang chuckled and said, "guess ~"

I don't know why. Looking at her face, Lu Zhou felt a gooseflesh all over her body, so she coughed softly.

"I suddenly don't want to eat BBQ and bibimbap this evening. Please help me to bring stewed chicken and rice Thank you. "

Stunned for two or three seconds, Lin Yuxiang took a look at the boat and turned away.

There is no waiting time.

Lu Zhou, who was sitting at his desk, continued to make calculations on the rough paper for a while. Assistant Lin, who had eaten in the canteen, quickly came back with a box of stewed chicken rice and delivered the takeout to Lu Zhou's desk.

When the lid of the packing box was opened, the strong smell of chicken juice suddenly came. Looking at the tender yellow chicken and the red and green peppers, Lu Zhou immediately started to eat. After three times, five times and two times, he pulled open the disposable tableware, scooped a spoonful of soup juice with a spoon and poured it on the full-bodied white rice, and then devoured it.

Maybe it's because they are busy at ordinary times, so it seems that Lu Zhou has a special interest in fast food. In the past, when I was in Princeton, I had a bacon sandwich. When I returned to China, it was not BBQ and bibimbap, but something similar to BBQ and bibimbap.

Although from the perspective of nutrition, this kind of diet is not very healthy, but this sense of satiety with good quality and low price can bring unexpected satisfaction, just like instant coffee.

Anyway, how does he eat the type that doesn't grow meat, coupled with the metabolic capacity strengthened by the system, it seems that eating anything doesn't matter at all?

After solving the dinner in a hurry, Lu Zhou turned on the computer and conceived for a moment, his fingers began to beat rapidly on the keyboard, transforming the previously conceived content into a line of papers.

Although these things may be just a few trivial ideas, every substantive progress of ζ (s) research will bring a huge impetus to the research of prime distribution theory, so even the smallest idea has its value.

Whether or not these things can resonate with other scholars and create more intense sparks in the collision of ideas, Lu Zhou intends to hang these contents on arXiv.

After browsing the papers of other scholars on the Internet for a while, when Lu Zhou was going to turn off the computer and pack up his things and go home, he suddenly received an unexpected video call.The video request was sent by his former student Qin Yue.

Press the connect button and look at the familiar face that appears at the other end of the screen. Lu Zhou says hello with a smile and says hello.

"How are you doing? Is it going well to be a lecturer in Princeton? "

The background in the video is the morning.

The man sitting in front of the camera looks the same as he did four years ago. But compared with four years ago, it seems to be a little less dull and more stable.

Looking at the tutor sitting in front of the camera, Qin Yue smiled and said: "it's very smooth. Do you remember the members of the Ivy League club? I got it the year after you left. "

"They won't turn down a mathematician who has proved the Jiaogu conjecture," Lu Zhou continued, joking, pausing for a moment. "What's the matter with calling me all of a sudden?"

Most of the people who do math don't have a crooked stomach. They talk directly. They push the glasses on the bridge of their nose. Qin Yue asks directly.

"Are you studying the Riemann conjecture recently?"

Lu Zhou: " What's the matter? "

Qin Yue smiled a little sheepishly: "it's nothing. I just saw one more review record on your academic resume from your personal homepage, which is related to Li Man's conjecture, so I was curious."

Lu Zhou can't cry or laugh: "it's Did you find out? "

Mom, do you need to pay attention to me?

Generally speaking, when reviewing manuscripts to record such academic resumes, they don't go to research institutions to apply for jobs. Generally, who will look at this thing?

Looking at Lu Zhou with a surprised face, Qin Yue made a helpless expression: "I dare say that more than half of the scholars in the whole mathematics circle are watching your movements, and I am not alone in doing so."

make complaints about where to slot, but Lu Zhou does not know where to tuck up.

Zhang opened his mouth, nodded his head and approved Qin Yue's guess.

“…… I'm really working on the Riemann conjecture recently. "

As soon as he heard that his former tutor was indeed trying to break through the century and a half difficult problem that had puzzled the mathematics circle, Qin Yue suddenly appeared interested in it and sat up straight.

"Have you got the cable yet I mean, can I help you? "

In the middle of the conversation, he suddenly realized that his request was a bit presumptuous for a scholar, so he immediately changed his mouth.

But Lu Zhou didn't care much, just smiled and said.

"There are some clues, especially after reading Molina's paper, I am more sure of my guess."

Qin Yue: "what's your guess It's convenient for me to know? "

"It's not inconvenient. If you can prove Riemann's conjecture in my way of thinking, I'll be happy for you," Lu Zhou continued with a smile. "Back to the point, according to my observation or conjecture, we may get more interesting conclusions by advancing the method of estimating the lower bound of the zero point ratio on the critical line, but we want to solve this problem through this method Man's guess is unrealistic. "

Hearing this, Qin Yue's expression gradually became serious.

It can be said that the method of advancing the lower bound estimation of the proportion of zeros on the critical line is one of the mainstream methods to study Riemann conjecture at present, and the "best" result of Riemann conjecture is also proved by this method.

However, Lu Zhou now says that this route may not work. Although it doesn't sound strange in terms of his status, it really surprised Qin Yue.

"You mean..."

"Maybe we have to go back to the π (x) function itself to find the last piece of puzzle to solve this problem," Lu said in a serious tone

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(thanks to the leader of "Zhongkui trumpet" ~)