Chapter 424 Three-step strategy

The sixth day of Song Yao’s business trip.

At noon, Xu Qingzhou took a hot shower, and the dizziness in his head after the high-intensity calculations finally subsided. He packed up simply and went to the last class of this semester.

After these days of hard work, there has been gratifying progress. In order to study the Riemann hypothesis, he plans to solve it in three steps, or put forward three propositions.

命题1,在0<Im(s)<T的区域内,ξ(s)的零点数目约为(T/2π)ln(T/2π)-(T/2π)。

命题2,在0<Im(s)<T的区域内,ξ(s)的位于Re(s)=1/2的直线上的零点数目同样约为(T/2π)ln(T/2π)-(T/2π)。

Proposition 3: All non-trivial zeros are located on the line whose real part is equal to 1/2.

These three propositions are like gradually rising mountains, and it is obvious that the last mountain is the Riemann hypothesis.

At present, Xu Qingzhou has solved the first proposition using his own ξ(z), proving that non-trivial zeros are located in a strip area where the real part is greater than 0 but less than 1.

Walking out of the apartment, Xu Qingzhou couldn't help but take a deep breath. The fresh air entering his lungs made his mind clearer.

“Although the road ahead is long and arduous, the key is steady progress.”

He thought of a story.

Once, the famous mathematician Hardy needed to return home, but when he arrived at the dock he found that there was only one small boat. The distance from Denmark to Britain was hundreds of miles, and he would be eaten by fish if he was not careful.

When everyone was praying for God's blessing, Hardy sent a postcard to his friend, which read: I have proved the Riemann hypothesis.

Did Hardy really prove the Riemann hypothesis?

of course not.

Hardy was a staunch atheist.

Hardy later explained that if something unexpected had happened, people might have really believed that he had proved the Riemann hypothesis. As expected, for a man like him who did not believe in God, God did not give him the highest honor.

Even after more than half a century, the stingy God still hasn't found anyone who can bear such a great honor.

Xu Qingzhou stretched his arms and thought that was all in the past. Now that this cheater like him has appeared, things will probably be different.

Xu Qingzhou took a taxi and arrived at class on time at 2 o'clock in the afternoon. The class went smoothly without any accidents.

As he was packing up his teaching materials, a middle-aged man came up to him and said, "Xu, let me introduce myself. My name is Andrew Vincent, a professor of physics."

"Hello, Professor Vincent."

Xu Qingzhou shook hands with him.

Professor Vincent got straight to the point: "We all know that in addition to mathematics, you are also quite insightful in physics. Currently, our laboratory is engaged in the research and development of new solar cell materials. Are you interested in joining our research group?"

Oh, another battery topic.

Energy is indeed one of the most concerned issues in today's society.

Thanks to Professor Zhao Shengwen, Xu Qingzhou had read a lot of information on batteries before, and had some understanding and interest in it, but he currently had no time.

Moreover, he wanted to go to Professor Zhao Shengwen's place and play a supporting role, but for such a big project, he preferred to have absolute control.

Xu Qingzhou said apologetically: "I'm sorry, you should know that my focus is now on mathematics, and I don't have more energy to participate in the project here."

"Xu, why not listen to our conditions first."

Professor Vincent said: "If you are willing to come, you can enjoy professor-level treatment, allowances, salary, etc., just like me. Of course, this is not important. If the experiment produces patentable results, you can get 15% of the remuneration."

"15%?"

Xu Qingzhou was a little surprised. Excluding the funding from the sponsor and the share from the school, it was already pretty good.

"Yes, including you, our project team will have a total of four people." Professor Vincent said with a smile. "It's a very tempting offer."

After expressing his feelings, Xu Qingzhou sighed and said, "Thank you very much for your invitation, but I'm afraid I'll disappoint you. Compared to batteries, I'm more interested in solving the Riemann hypothesis."

Professor Vincent was unwilling to give up: "If you are not satisfied with the compensation, we can negotiate."

"No, it's not about the pay."

Xu Qingzhou shook his head.

Seeing Xu Qingzhou's insistence, Professor Vincent could only say helplessly: "If you figure it out within this week, please be sure to call me."

Xu Qingzhou nodded, packed up and went out.

Sun Simin held her notebook and caught up with Xu Qingzhou, saying, "Xu, thank you for your care this semester."

"You're welcome, it's your duty."

"Senior, will you still substitute for the class next semester?" Sun Simin asked expectantly.

"Next semester? It depends on the arrangement. I think I will still come to class until Professor Roberts finds a new coolie."

Deep down, Xu Qingzhou was not averse to attending classes. It was less than two hours a week, which was not a big deal. Moreover, he did get some inspiration during the class.

While crossing the street, he turned to look at the little girl next to him and asked, "Why, you still want to take my course, haven't you been tortured enough?"

Sun Simin shook his head like a rattle. "I can learn a lot from you, senior. Mathematics, which used to be boring, now seems very interesting."

"You can read Hua Luogeng's Theory of Prime Numbers and GH Hardy and EM Wright's Introduction to Analytical Number Theory."

Xu Qingzhou recommended several books to Sun Simin.

"Yeah, I've got that in mind. Thank you, Senior." Sun Simin glanced at Xu Qingzhou secretly, and mustered up the courage to say, "Senior, to express my gratitude, I'll treat you to dinner."

"No, I have something else to do tonight."

Xu Qingzhou did not give Sun Simin any hope. He paused and said, "If you really want to thank me, remember all the knowledge points and don't fail the course."

"Senior, I will definitely not let you down."

"Okay, I'm going to go back this way, you..."

"Goodbye, senior."

"See you."

The two separated at the intersection of Savoy Street and Massachusetts Avenue.

At the intersection, Sun Simin looked at the gradually receding figure and slowly exhaled. Although she knew that her senior had a girlfriend, she still wanted to stay a little longer.

On this side, Xu Qingzhou shook his head helplessly. Of course he could see what these girls were thinking, but he was sorry, he, Xu, would remain loyal.

Now, he is thinking about another question, "Should I buy a car?"

Then you can drive to the Boston area and it will be convenient to go out.

As for driver's licenses, Boston relaxed restrictions on foreign driver's licenses last year, which also included Xia Guo driver's licenses, but a translated copy is required, so that the Xia Guo driver's license can be used for three months, and then you can find time to take the test.

Xu Qingzhou thought for a long time. They would stay here for one to two years at most and would definitely have to return home in the end. Besides, buying a car was not a trivial matter, so they had to wait for School Beauty Song to come back.

He was too lazy to take a taxi home, so he walked out of MIT, crossed the Harvard Bridge, and walked back along the route he and Song Yao often used to run.

(End of this chapter)

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