Inspiration is always born inadvertently.

In the previous class, Lu Zhou recalled many details that he had neglected when studying the problem by combing Riemann's conjecture.

Although many times, even if you think of it, these details are irrelevant, but at critical moments, these insignificant clues can also play an amazing role.

After returning to the office, Lu Zhou sat down at the desk, took out the scratch paper from the drawer, and wrote the things he had thought of before and after.

"Riemann's conjecture is a conjecture proposed to study the π(x) function. Riemann's pioneering work is not to propose the Riemann conjecture, but to introduce the Riemann zeta function, which will be about π(x). The study has been upgraded from a solid line to a complex plane."

The tip of the pen slid gently over the paper, and the boat smoothly wrote a line of calculations.

[π(x)=∫dt/lnt+o(x^(1/2+e))......]

"The equivalent problem of Riemann's conjecture," stopped the pen in his hand and gently pointed the paper with the tip of the pen. Lu Zhou's expression gradually appeared a meditation of dignity, thoughtfully self-talking, " If Riemann conjectures, the gradual formula is also true, and in turn, the Riemann conjecture can be introduced by this asymptotic formula..."

"The key to solving the problem should be on the π(x) function itself!"

There is a hint of enlightenment in my heart, but I still feel something worse.

It's like a piece of jigsaw puzzle that has been stitched to one-third of the puzzle. It seems that there is nothing missing, but it lacks the most crucial key.

If you find it, you can connect all the clues together, and if you can't find it, everything seems to be empty talk.

In this way, I spent an hour at the desk for a long time, until the stomach made a "beep" sound, Lu Zhou suddenly recovered.

And when he moved his eyes from the desk to the dusk that drifted away from the window, he accidentally discovered that he had been sitting at his desk for so long without knowing it.

"I saw you too focused, I didn't want to call you," almost at this time, Lin's voice floated from the side. "Are you going to the cafeteria for a while?"

Looking back from the window, the night was gradually recaptured, and Lu Zhou looked at Lin’s assistant standing at the door. After thinking for a moment, he said, “If you are going to the cafeteria, bring me a meal.”

He probably still plans to stay in the office for a while, in order not to interrupt the idea that is not easy to grasp, he plans to go back later.

Lin Yuxiang blinked and asked: "Do you have barbecued rice with rice?"

Lu Zhou accidentally glanced at her.

"...Do you know that I want to say this?"

Lin Yuxiang grinned slightly: "Guess ~"

I don't know why, looking at her face and knowing how to look at herself, Lu Zhou felt a slap in the next goose bump, so he coughed.

"Suddenly, I suddenly didn't want to eat barbecue bibimb to help me bring the yellow chicken rice... thank you."

After holding it for two or three seconds, Lin Yuxiang glanced at Lu Zhou and turned away.

There is no waiting for a long time.

Lu Zhou, sitting at the desk, continued to play on the draft paper for a while, and Lin Assistant, who had eaten the meal in the cafeteria, quickly took a box of yellow chicken rice and walked back, and took the takeaway to the table of Lu Zhou. on.

Unpacking the lid of the packing box, the rich chicken juice suddenly rushed to the surface, watching the tender yellow chicken and red and green peppers, Lu Zhou suddenly index finger move, three times five and two to open the disposable tableware Spoon a spoonful of soup with a spoon and pour it on the full-bodied white rice and devour it.

Perhaps because of the usual busy schedule, Lu Zhou found himself seems to have a soft spot for fast food. When I was in Princeton, I had a mutton sandwich. When I returned to the country, it was not a bibimbap. It was something similar to a bibimbap.

Although this diet is not healthy from a nutritional point of view, this kind of inexpensive and full-bodied feeling can bring unexpected satisfaction, just like instant coffee.

Anyway, how does he eat the type of meat that is not long, and the metabolic capacity that has been reinforced by the system, does it seem that the diet does not matter?

After a hasty settlement of the dinner, Lu Zhou turned on the computer, after a moment of conceiving, the ten fingers quickly knocked on the keyboard, transforming the previously conceived content into a line of papers.

Although these things may be just some trivial ideas, every substantive progress on ζ(s) research will bring huge impetus to the study of prime number distribution theory, so the trivial idea is also worth its value. of.

Regardless of whether these things can resonate with other scholars, and in the collision of ideas, a more intense spark, Lu Zhou intends to hang these contents on arxiv.

After browsing the papers of other scholars for a while on the Internet, when Lu Zhou planned to turn off the computer and pack things home, he suddenly received an unexpected video call.

The video request was sent by his former student Qin Yue.

He pressed the button on the button and looked at the familiar face that appeared at the end of the screen. Lu Zhou said with a smile and greeted him.

“How have you been recently? Is the work of being a lecturer at Princeton still going well?”

The background in the video is morning.

The man sitting in front of the camera looks like nothing changed four years ago. It’s just a little bit less than that of four years ago, and it’s a bit more calm.

Looking at the instructor sitting in front of the camera, Qin Yue smiled and said: "Very smooth, remember the members of the Ivy League club? I got it in the second year after you left."

"They won't refuse a mathematician who once proved the Guong Guzheng guess," Lu Zhou said with a joke. After a pause, he continued. "Suddenly call me something?"

Most of the people who engage in mathematics have no bends and intestines, and they speak more directly. They push the glasses on the bridge of the nose. Qin Yue opens the door and asks.

“You recently studied the Riemann conjecture?”

Lu Zhou: "...What's wrong?"

Qin Yue smiled a little embarrassedly: "Nothing, I just saw a review record on your academic resume from your personal homepage, which is related to Riemann's conjecture, so I was curious."

Lu Zhou couldn’t help but laugh: "...Is this all discovered by you?"

Mom, is this something to pay attention to?

The general review record records this academic resume, not to study the institution to apply for a job, and who will generally stare at this thing?

Looking at the strange face of Lu Zhou, Qin Yue made a helpless expression: "I dare say that more than half of the scholars in the entire mathematics community are staring at your movements, definitely not just me alone."

Although I always feel that there are slots, Lu Zhou does not know where to squirt.

After opening his mouth, he nodded and recognized Qin Yue’s guess.

"...I am really studying the Riemann conjecture recently."

As soon as I heard that my former tutor was trying to break through the century-old problem that had plagued the mathematics world for a century and a half, Qin Yue’s face suddenly showed an interesting look and sat up and asked.

"Is there a clue... I mean, need my help?"

Halfway through the words, he suddenly realized that his request was a bit embarrassing for a scholar, so he immediately changed his mouth.

However, Lu Zhou did not care too much, just smiled and said.

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

Qin Yue: "What guess... I know it easily?"

"Nothing is inconvenient. If you can prove Riemann's conjecture according to my ideas, I will be happy for you." Lu Zhou smiled and continued, "Going to the point, according to my observations, or guessing, through The method of advancing the lower bound estimate of the zero-point ratio on the critical line may lead to more interesting conclusions, but it is unrealistic to solve the Riemann conjecture by this method."

Upon hearing this sentence, Qin Yue’s expression gradually became serious.

The method of advancing the lower bound estimation of the zero-point ratio on the critical line can be said to be one of the mainstream methods for studying Riemann's conjecture. The current "best" result of the Riemann conjecture is also proved by this method. of.

However, Lu Zhou now said that this route may not work. Although his status does not make this sentence sound ridiculous, but it really surprised Qin Yue.

"what do you mean……"

Lu Zhou said in a serious tone: "Maybe we have to return to the π(x) function itself to find the last piece of the puzzle to solve this problem."

-

(Thanks to the loyalty of the book "Zhong Yu Xiaohao" to reward ~~~)