Inspiration is always born inadvertently.

In the previous class, Lu Zhou recalled many details that GFT Riemann’s Conjecture had neglected when he studied the problem.

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 the scratch paper out of the drawer, and wrote the things that he had thought of before and after.

“GFB Riemann’s Conjecture is a conjecture proposed to study π(x)function. Riemann’s groundbreaking work is not to propose GFB Riemann’s Conjecture, but to introduce π(x) by introducing Riemann’s zetafunction. From the solid line to the complex plane.”

The tip of the pen slid gently over the paper, and Lu Zhou fluently wrote a line of calculations.

[π(x)=∫dt/lnt+O(x^(1/2+ε))……]

“The equivalent of GFB 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 GFB Riemann’s Conjecture is established, the asymptotic formula is also true, and in turn, this asymptotic formula can also be used to launch GFB Riemann’s Conjecture…”

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

There is a clear amount of clear comprehension in my heart, but I still feel worse.

It’s like a piece of jigsaw puzzle that has been spelled out to one third. 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 belly issued a “sound” a light sound, Lu Zhou was suddenly came back to his senses.

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 canteen later?”

Looking back from the window and climbing up to the night, Lu Zhou looked towards Lin Assistant, who stood at the door, and thought for a moment and said, “If you are going to canteen, 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: “Boiled bibimbap?”

Lu Zhou looked at her unexpectedly.

“…Do you know that I want to say this?”

Lin Yuxiang grin lightly smiled : “Guess ~”

I don’t know why, looking at her face and knowing how to look at herself, Lu Zhou felt the next goose bump on her body, so she coughed.

“Suddenly, I suddenly didn’t want to eat barbecue bibimb to help me bring the yellow chicken rice… thank you.”

After squatting for two or three seconds, Lin Yuxiang glanced at Lu Zhou with a sigh of relief and turned away.

There is no waiting for a long time.

Sitting at the desk, Lu Zhou continued to play on the draft paper for a while, went to Canteen’s Lin assistant who had eaten, and soon took a box of yellow chicken rice and walked back, and took the takeaway to Lu Zhou’s table. on.

Unpacking the lid of the packing box, the rich chicken smell suddenly assaults the senses, looking at the tender yellow chicken and the red and green peppers, Lu Zhou suddenly changed his index finger, and pulled the disposable tableware three times and five times. 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 and not grow the type of meat, coupled with 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, and after a moment of conceiving, the ten fingers quickly tapped on the keyboard and transformed the previously conceived content into a line of thesis.

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.

I browsed the other of the Scholar’s thesis online for a while, and when Lu Zhou planned to turn off the computer and pack things home, she suddenly received an unexpected video call.

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

He pressed the button on the switch and looked at the familiar face that appeared at the end of the screen. Lu Zhou smiled and said hello.

“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 Yuelaughed said: “Very smooth, remember the members of the Ivy League club? I got it in the second year after you left.”

“They won’t reject a mathematic home that once proved the corner speculation,” Lu Zhou said with a joke, paused for a moment and continued. “Suddenly call me something?”

Most 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, and Qin Yuestraight to the point.

“You recently researched GFB Riemann’s Conjecture?”

Lu Zhou: “What happened?”

Qin Yue is a little embarrassed laughed: “Nothing, I just saw a review record on your academic resume from your personal homepage, related to GFB Riemann’s Conjecture, so I was curious.”

Lu Zhou didn’t know whether to cry or laugh: “…has this been 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 entire mathematics community is staring at your movements, definitely not just me alone.”

Although it always feels like a slot, Lu Zhou doesn’t know where to squirt.

Zhang opened his mouth, he nodded, recognized Qin Yue’s guess.

“…I am really researching GFB Riemann’s Conjecture recently.”

As soon as I heard that my former tutor was really trying to break through the century-long problem that plagued the mathematics world for a century and a half, Qin Yue’s face suddenly appeared in the expression of interest, and sat up and asked.

“Is there a clue… I mean, need my help?”

Halfway through, he suddenly realized that his request was a little presumptuous for a Scholar, so he immediately changed his mouth.

But Lu Zhou didn’t care too much, just laughed.

“There are some clues, especially after seeing the thesis of Morina, I am more sure of my guess.”

Qin Yue: “What guess… I know it easily?”

“Nothing is inconvenient. If you can prove GFB Riemann’s Conjecture according to my ideas, I will be happy for you,” Lu Zhou laughed, continuing. “Going to the point, according to my observations, or guessing, by pushing the threshold The method of estimating the lower bound of the online zero ratio may lead to more interesting conclusions, but it is unrealistic to solve GFB Riemann’s Conjecture by this method.”

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

The method of estimating the lower bound of the zero-point ratio on the critical line can be said to be one of the mainstream methods of studying GFB Riemann’s Conjecture, and the current “best” result of GFB Riemann’s Conjecture is 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 book friend “Zhong Yu Xiaohao”‘s alliance lord to reward ~~~)


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