After the meal, Lu Zhou paid the bill and said goodbye to Yang Xu.
Lu Zhou went back to the hotel and checked his email. He received an email from the Star Sky Technology North America branch in Philadelphia.
The content of the email was very concise. Other than a few concise sentences, there was a list attached. On the list, there were companies that had signed licensing agreements with Star Sky Technology for patents in China, including Shanshan Energy, as well as emerging materials companies like East Sage Investment and Yan University.
Unsurprisingly, Zhongshan New Materials, which Professor Lee owned shares in, was also on the list.
If Lu Zhou was the one doing these negotiations, he wouldn't have to do anything other than talk for the next two months.
[I have sent copies of the relevant documents to your office at the Princeton Institute for Advanced Study. If you feel that there are no problems, please sign the documents and send them back to your office in Philadelphia.
I wish you the best, White Sheridan.]
Lu Zhou thought for a bit and wrote an email.
[I will return to Princeton soon. I will send the documents back as soon as possible.]
After clicking send, Lu Zhou threw his phone on the bed and went to the bathroom.
Lu Zhou took a shower and laid on his bed. He was about to take a nap when he saw a pop-up notification.
[Professor, how long until you come back?]
This email was sent by Vera.
Lu Zhou thought about how long his vacation was, and he couldn't help but feel a little embarrassed.
Although he planned to leave the Collatz conjecture to his student from the beginning, and he only provided suggestions on the method and direction, he didn't go back for a month, so the burden of this task fell on the little girl's shoulders.
Lu Zhou tapped on the screen and sent an email.
[Soon, in a few days.]
Everything that needed to be arranged had already been arranged. It didn't matter whether he stayed at the research institute or not. In the age of the Internet, geographical distance had a very limited impact on the efficiency of scientific research.
Vera, who was sitting on the bed with her arms around her knees, finally let out a sigh of relief.
She had been worried for the past few days. What would she do if Lu Zhou quit his Princeton professorship and returned to China to become a professor?
But now, it seemed that her worries were unnecessary.
The worry in her heart was washed away, and the corner of Vera's mouth gradually raised into a smile.
A long time ago, in Ukraine, she was a strange child in the eyes of her peers. No one could understand the meaning of the strange symbols she was thinking about.
Her time at Princeton was probably the happiest time of her life, and it was also her most cherished treasure.
Here, she didn't have to worry about anything else. She could focus all her attention on studying those esoteric and charming mathematical problems.
Especially when she was discussing mathematical problems with Lu Zhou, she always felt like time passed by very quickly. This feeling was unprecedented for her.
Not only that, but she also felt a sense of care from him that she had never felt since she came to the United States to study. When she was at Berkeley, no professor ever took the initiative to ask her if her family was in trouble. If she needed help, he could provide her with a teaching assistant job.
Although Hadi always complained that Professor Lu was too enthusiastic and put him under pressure, Vera, who had never experienced this kind of care, still enjoyed the feeling of being cared for.
However, because of this, this feeling made her feel lost.
Just then, a new message popped up on her phone screen.
[How is the Hail conjecture going? Any new progress?]
When Vera saw that it was a work-related email, she quickly shook her head and chased away those strange thoughts. She tapped on the screen and replied.
[Not yet, but when I was researching Professor S. Eliahou's thesis, I discovered a new idea. I talked to Qin Yue and Hadi, and if this idea is feasible, it might be the key to solving the problem between z0 and the transcendental whole function g (x).]
The Collatz conjecture was equivalent to the analytic function solution of the function equation h (where λ = e ^ {2πi/3}) in the unit disk < 1}, where h0 and h2 are complex constants.
This conclusion was proved by Professor Beng and Professor Mynardus in 1994. Subsequent research on the Collatz conjecture was basically carried out around this result.
In the research framework that Lu Zhou developed for his students, g (z) was the transcendental whole function, z0 was a point in the complex plane, and Φ (g) was the set of normal points of g (z).
If one could prove that the function column {g (z)} ∞ k = 1 had a subset that converged to ∞ or an analytic function in a neighborhood of point z0, then one could obtain a normal point where z0 was g (z).
Theoretically speaking, these problems could be solved using the Group Structure Method. It was hard to say if it was difficult, but it was definitely not much more difficult than the Polignac's conjecture.
Lu Zhou raised his eyebrows and had a look of interest on his face as he typed.
[What idea?]
[About …]
Vera had just typed a line of words when she suddenly stopped pressing her index finger on the screen.
Perhaps it was because of the little willfulness in her heart, for some reason, she, who had always been obedient, deleted this sentence. She reedited the email and hit send.
[I want to tell you in person when you come back.]
Lu Zhou, who was on the other side of the world, saw this line of words and could not help but smile and shake his head.
This little girl has learned how to keep me guessing.
However, for someone like Lu Zhou, who was not good at expressing her inner thoughts, this was a small improvement.
After all, the premise of being cheerful was to dare to express oneself, whether it was an academic point of view or one's true self. In the past, she had always been afraid of this.
In the future, Lu Zhou would consider introducing her to the Ivy Club.
The food there was delicious, but it was not easy to get in. Unless one was an academically famous scholar, they would have to use the traditional and ancient debate method to defeat their opponents.
Among his three students, only Hadi had successfully obtained the qualification to eat there. Lu Zhou took out US $5,000 from the Collatz conjecture research fund to help him pay for a year's membership fee.
As for Qin Yue, he was still working hard on his oral and expression skills. He was preparing to "challenge the free meal".
As for Vera, this challenge was a bit too difficult for her.
Lu Zhou wrote an email and smiled as he pressed the "Send" button.
[I'll talk about it when I come back. Looks like I have something to look forward to when I go back to Princeton.]
Vera waited anxiously for this email and sighed in relief. She couldn't help but feel a little disappointed that Lu Zhou didn't even notice her stubbornness.
Originally, after she sent that email, she was worried that Lu Zhou would be angry because of her stubbornness.
But now, it seemed that he was the only one who was overthinking things.
Vera hugged her knees and sat on the bed. She took a deep breath and buried her face in her knees.
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