Chapter 439 He Finally Gave Up
Xu Qingzhou was indeed not stubborn. He took out all his previous manuscripts, reorganized them, and by the way, summarized the revision suggestions for the Riemann-Siegel zero point problem received during this period, and sent the second version to arXiv.

When I have time, I will take out the older information and take a look at it.

On the second day, the mathematics community became lively again, as another mathematical research group made progress on the Riemann hypothesis.

At Princeton, Staven Jere and Grace Alhaiti continued Professor Maynard's research, optimized the multidimensional sieve, and successfully improved the large value estimation of the Dirichlet polynomial.

Better results than in Cambridge.

"These two people look familiar."

Xu Qingzhou browsed the news interface and quickly remembered who these two people were.

He had come into contact with these two people when he gave a lecture at Jinling University, and they discussed the distribution of prime numbers and the upper and lower bounds of them.

He took a look at the paper the other party had posted on arXiv.

Although there is still a small gap between his and others in terms of accuracy, the method is quite novel, and it uses many analytical techniques developed from missing prime numbers.

"I'll just have to take it slow here."

Xu Qingzhou was in no hurry to upload the paper. From the Riemann hypothesis to now, there were almost two hundred pages of manuscripts, and it would take time to sort them all out.

Organizing papers, reading materials, and cooking for School Beauty Song.

Xu Qingzhou spent three days leisurely like this. On Sunday morning, he received a call from Professor Roberts.

"Xu, the second solution is fine. We introduced a discriminator to force the model to focus on the tail features and used the attention weights of the user's historical click sequence to dynamically generate interest vectors. Now, CTR has increased by 20% and GMV has increased by 10%."

"Congratulations."

Xu Qingzhou congratulated him while sipping his coffee.

Song Yao lay on the sofa with the novel "Castle" she had just read resting on her stomach, and searched for places to travel on her mobile phone.

Professor Roberts smiled and said on the other end of the phone: "No, you have made a great contribution. It is you who gave Horn and I inspiration. I am very busy now, so I am afraid the celebration party will have to be moved to next month."

“I was glad to help, and I saw a lot of interesting things.”

Xu Qingzhou said modestly.

Professor Roberts didn't say anything else, but went straight to the point and asked, "Xu, how is your progress on the Riemann hypothesis?"

"I can only say that if we don't study this, our lives will indeed be more comfortable."

Looking out the window at the Charles River, Xu Qingzhou sighed helplessly: "I think I may need to think about the next topic next month."

"Horn and I both agree on this point of view. We have both gone through a period of 'hard times' because of it, and even felt desperate."

"Yes."

The two chatted briefly and hung up the phone.

office.

"He still gave up?" Horn stopped calculating.

Professor Roberts nodded. "It is undeniable that he is definitely the most outstanding young man in mathematics that I have ever seen, but I guarantee that even God would be helpless in solving the Riemann hypothesis."

"I thought I would witness the birth of a great proof," Horn sighed.

“Just because we can’t solve it now doesn’t mean we can solve it in the future.”

Professor Roberts is very optimistic. Strictly speaking, Xu Qingzhou is only 21 years old now, which is just the beginning for a mathematician. There are still infinite possibilities in the future.

"Yes, the mathematics community seems to have experienced an explosion, or revolution. In recent years, problems that have troubled people for decades or even centuries have been solved one after another."

To be honest, both of them felt a little regretful.

The Riemann hypothesis is like a mountain. Countless mathematicians have worked day and night on this mountain, but 90% of them can only look at it shrouded in mist and stay away from it. Xu Qingzhou is undoubtedly the person most likely to reach the top of the mountain.

On the other side, Xu Qingzhou finished his coffee in a few sips and ran to touch the long legs of the school beauty Song.

"Next month, we're going to visit the small town of Plymouth."

Song Yao was looking at hotels and restaurants in Plymouth and hooked Xu Qingzhou's clothes with her foot. She had mentioned this years ago, but never had the time.

Xu Qingzhou nodded: "Okay, we haven't had a good time since February."

Having legs to play with doesn't make it boring.

After pinching his fair feet, he opened Weibo and found that there were many topics related to himself.

"Mr. Xu, both Cambridge and Princeton have made major breakthroughs. I would like to ask about the progress on your side." This is the Weibo post with the most likes.

It can be seen that everyone is very concerned about his situation.

"God Xu: Don't ask. It's impolite to ask again."

"Don't hold your hopes too high. Xu Qingzhou was busy with the Riemann-Siegel zero-point problem some time ago, so there shouldn't be much research that actually involves proving the Riemann hypothesis."

Someone asked: "The Riemann-Siegel zero problem is more difficult than these two."

The blogger explained: "It's hard to say. Both the Riemann-Siegel zero-point problem and the zero-point density estimation can only be regarded as extensions of the Riemann hypothesis. I think the former can mainly prove the correctness of the Riemann hypothesis, while the latter is a direct proof of the Riemann hypothesis."

Song Yao was just thinking about where to go for fun when she felt her feet lighten. She saw the person who had just pinched her leg had run to the manuscript paper, took out a piece of manuscript paper from the one-inch thick paper, and took pictures of it.

"What are you doing?"

"Stabilize the morale of the troops." Xu Qingzhou came back from taking pictures and started typing again.

Song Yao had a strange expression on her face, curious about what this guy was doing. When she got closer, she saw that Xu Qingzhou had already edited the Weibo post.

Xu Qingzhou: Stay calm.

Photos are attached below.

There is nothing superfluous in the photo, just a short formula.

0.48≤ Re(s)≤ 0.51
θ>1/15=0.067
Xu Qingzhou has more than 2.6 million fans so far. As soon as he posted a microblog, comments appeared one after another.

"Come and tell me what this is."

"If I'm not mistaken, this is an estimate of non-trivial zeros. Simply put, the Riemann hypothesis states that all non-trivial zeros are on the line Re(s)=0.5. If it is proved that the density of zeros in the region outside 0.48≤ Re(s)≤ 0.51 approaches zero, or that the density of zeros in the region outside Re(s)=0.5 is equal to zero, the Riemann hypothesis holds."

"Can it be any simpler?"

"To put it simply, it is - God Xu is awesome!"

Someone else explained: "The range of the zero-point estimate of the Cambridge institute is 0.45≤ Re(s)≤ 0.515, and the Princeton one is 0.46≤ Re(s)≤ 0.512."

"Brother, stop it, this content is too advanced; I'd better go through the procedure, Master Xu is awesome!"

"θ>1/15=0.067, which means that Xu Shen is about to succeed. According to the Riemann hypothesis, θ>0, which is infinitely close."

"But... I followed Mr. Xu's arXiv, and he didn't publish any papers."

"I didn't see it either."

"You are all so professional, am I the only one who is obsessed with beauty?"

"Sister, +1."

(End of this chapter)

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