Chapter 435: The Dowry Has Not Been Saved Enough
"Song Yao, take a shower."

Sure enough, Xu Shouyun and Wang Xiaping called and said they were going back to their hometown to attend a cousin's wedding.

"How are grandpa and grandma?"

Xu Qingzhou leaned on the sofa and asked

"Oh, that's fine, we're all good."

I have received a lot of emails these days, most of which are related to the Riemann-Siegel zero point conjecture.

For example, Fields Medal winner Professor Juraj Milton sent some suggestions for revisions, and some formulas could be slightly shortened.

Others are extended studies of the Riemann-Siegel zero-point problem.

What caught Xu Qingzhou's attention most was Zhang Yitang's twelve-page paper.

Zhang Yitang's proof ideas are similar to his. There is no doubt that if there were not such a geek like him, this person would be the most cutting-edge researcher on the Riemann-Siegel problem.

Xu Qingzhou saved these emails and then replied to them one by one to express his gratitude.

The sound of running water in the bathroom disappeared, and Song Yao came out. As the temperature rose, she had changed into summer pajamas, and her long thighs were exposed at the hem.

Xu Qingzhou was a little greedy.

Song Yao tilted her head and rubbed her hair with a towel: "A call from uncle and aunt?"

"Well, I'm going back to my hometown these days to attend the wedding of one of my older brothers."

Xu Qingzhou held the hair dryer and motioned for Song Yao to sit down.

After more than ten minutes, the sound of the hair dryer disappeared.

"Ding~"

Xu Qingzhou's phone rang with a series of messages.

News about Wang Xiaping.

There are photos and videos of the wedding.

“It’s quite lively.”

Two people get together.

"However, compared to this, I think we can use the Chinese style in the future."

Xu Qingzhou touched his chin. Song Yao's figure was absolutely stunning in the phoenix crown and bridal gown.

"Yeah," Song Yao nodded in agreement, but she felt something was wrong and said proudly, "Huh, I haven't said I want to marry you yet."

"It's the same if you marry me."

Xu Qingzhou said quietly, "With your martial arts skills, if it were in ancient times, you would have knocked me out and dragged me back home."

Song Yao gave the man a claw on the waist, and watched the wedding video with her chin propped up, looking forward to it. "When the time comes, we can take a few sets of Chinese and Western styles, and use Chinese style for the wedding, but that will be after we graduate at least."

As for getting married, it’s better to wait until after graduation.

现在
It’s a bit early, she’s still a student, and she hasn’t saved much for her dowry.

This guy can't run away anyway.

Song Yao thought to herself.

"Not for a few years."

Xu Qingzhou was not that anxious. The two of them were no different from other couples now, except that they lacked a marriage certificate.

At 8 o'clock on Tuesday morning, Xu Qingzhou and Song Yao went out together and drove to MIT to substitute for Professor Roberts, just like last semester.

"Analytic Extension" is a course on complex analysis. The content of complex analysis is generally a follow-up course of "Mathematical Analysis" and a professional course for learning mathematics.

The analytical extension is more detailed.

"Good morning, senior."

Sun Simin waved hello.

Sun Simin, Dino Connolly, Mars and others also took this course and are considered old acquaintances.

Xu Qingzhou looked at the dazed girl and asked with a smile, "Have you solved the problem I left last week?"

"No." Sun Simin said with some shame. "Don't be discouraged, this question is indeed difficult."

Xu Qingzhou comforted him, saying that it took him an entire afternoon to solve it. This is a problem of boundedness of maximal operators in harmonic analysis.

There were already more than forty people sitting in the lecture hall. Except for 23 elective students, the rest were there to audit the class. As Xu Qingzhou walked in, the classroom gradually became quiet.

“Let (T) be a Hardy-Littlewood maximal operator, defined as: [Tf(x)=\sup_{r>0}\fracProve the weak boundedness of the following generalized form of the operator: [T_\alpha f(x)=\sup_{r”

"Has anyone among you solved it by yourself?"

No one responded.

Xu Qingzhou was not surprised at all and started writing on the whiteboard with a marker.

"Key tools: 1. Covering lemmas, such as the fractal generalization of Vitali covering or Besicovitch covering; 2. Muckenhoupt (A_p) weight theory; 3. Singular integral operator calculations I have done on the local smoothness of Fourier integral operators."

Everything went as usual. I taught classes, explained questions, answered everyone's questions, and discussed the fractal support and Fourier transform of measure with two scholars.

"Senior, let me treat you to a meal. I just want to ask you two questions."

Sun Simin waited until the end.

"Okay."

Seeing that it was indeed time for dinner, Xu Qingzhou nodded, packed up his things and came out with Sun Simin.

The two went into a pizza shop.

After ordering the food, Xu Qingzhou took photos first and reported his itinerary to Song Yao.

"Senior, you have a very good relationship with Senior Sister Song." Sun Simin said with some envy.

"good."

Just get beaten occasionally.

He put down his phone and said directly: "It will take a while, let's talk about your question first."

"Okay okay."

Sun Simin handed over the manuscript.

Both questions are about the analytic extension and zero-point distribution of the Dirichlet series.

"Where did you see these two questions?"

"I saw it in Terence Tao's Analytical Theory of High-Dimensional Sieves."

"It's a little early for you to tackle questions of this difficulty, but you can still talk about them. The most important thing is to analyze the relationship between analytic continuation and the asymptotic behavior of partial sums."

After dinner, Xu Qingzhou didn’t stay long and went to the library with his computer.

After resting for several days, he prepared to try other calculations on the Riemann hypothesis.

If mathematical methods don’t work, then introduce physical tools.

In the past two years, he has focused his main energy on mathematics and almost forgot about the quantum mechanics that he had mastered in his previous life.

No one understands quantum mechanics better than him.

The Riemann zeta function most likely corresponds to a quantum mechanical energy level whose distribution of nontrivial zeros is the same as the distribution of eigenvalues ​​of a random Hermitian matrix.

Combining the Riemann zeta function with quantum mechanics is the mainstream research direction of physicists who are currently keen on using physics to solve the Riemann hypothesis.

In Xu Qingzhou's opinion, this method is more difficult than the mathematical method to a certain extent, and it can even be said to be illusory.

After all, the idea is to connect two different fields.

First, we need to prove that a certain system in physics is exactly the same as the zero-point distribution of the Riemann hypothesis.

However, what if he simply used some physical tools to assist his existing calculations?

Xu Qingzhou first went to the administrator to borrow the manuscript of mathematical physicist Bailey, who had attempted this before.

Bailey has done research in this area and once defined a density function of the non-trivial zeros of the Riemann zeta function that is completely similar to the energy level density function of a quantum system.

After borrowing the manuscript, Xu Qingzhou found an empty seat in the library and sat down.

He also planned to start with the energy spectrum and try to come up with a useful tool, the energy level density function. The ultimate goal was to create a special random Hermitian matrix to make up for the shortcomings of mathematical calculations.

(End of this chapter)

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