The work that should be arranged was completed, and after the dinner was over, Lu Zhou settled the account first, and then said goodbye to Yang Xu.

Back at the hotel, Lu Zhou lay on the bed and checked his mailbox, just in time to receive an email from the North American branch of Star Technology in Philadelphia.

The content of the email is very concise, except for a few concise sentences in the body of the text, which is a list of attachments. On the list, there are companies that have signed licensing agreements for patents and star trade in China, including Shanshan Energy, a domestic lithium battery materials giant, and emerging material companies such as Yanda Xianxian, which was co-founded by Dongsheng Investment and Yenching University.

Not to his surprise, Zhongshan New Materials, in which Professor Li holds a stake, is also among them.

If these negotiations were carried out by Lu Zhou himself, he would basically have nothing to do in the past two months except grinding his lips.

[I have sent a copy of the relevant documents to your office at the Institute for Advanced Study in Princeton at the address you left behind, if you look at it and think it is okay, please sign the documents and send them back to your office in Philadelphia.]

- Good luck with your work, White Sheridan]

After thinking about it, Lu Zhou edited an email.

[I will return to Princeton in the near future, and when I do, I will send the documents back as soon as possible.] 】

After clicking send, Lu Zhou threw the phone on the bed and got up and went to the bathroom.

After taking a shower and coming back, Lu Zhou, who was lying on the bed, was about to take a nap when he saw a pop-up window for a message reminder.

[Professor, how long will it be before you come back?] 】

The email was sent by Vera.

Thinking that his vacation seemed to be really long, Lu Zhou couldn't help but feel a little embarrassed.

Although Kakutani guessed that he had intended to leave it to his students from the beginning, and that he only provided advice on methods and directions, he hadn't been back for a month, and the burden of the task fell on the little girl alone.

Secretly ashamed in his heart, Lu Zhou poked his finger at the screen, edited an email and sent it.

[Come on, just these days. 】

The work that should be arranged has been arranged, and it is actually the same whether he keeps it in the institute or not. In this era of the Internet, the impact of geographical distance on the efficiency of scientific research is very limited.

Looking at the email on the mobile phone screen, Vera, who was sitting on the bed with her knees in her arms, finally breathed a sigh of relief.

In the past few days, she has been worrying about what she will do if Lu Zhou quit his professorship at Princeton and return to China to become a professor.

But now it seems that her worries are unfounded.

The worry in her heart was washed away, and the corners of Vera's mouth gradually hooked up a smile.

A long time ago, when she was in Ukraine, she was a weird child in the eyes of her peers, and no one could understand the meaning of those strange symbols she was thinking about.

This time in Princeton was probably the happiest time of her life, and it was also her most cherished treasure.

Here she can focus on the profound and fascinating mathematical problems without worrying about anything else.

Especially when discussing math problems with Lu Zhou, she always felt that time passed quickly, and this feeling was unprecedented for her.

Not only that, but from him, she felt a concern that she had never felt during all these years of studying in the United States. When she was at Berkeley, no professor ever asked her if she was in trouble at home and could offer a job as a teaching assistant if she needed help.

Although Hardy always complained that Professor Lu was too enthusiastic and made him bear the pressure outside of work, Vera, who had never experienced this concern, still enjoyed the feeling of being cared for.

However, it was precisely because of this feeling that she felt lost.

At this moment, a new message popped up on her phone screen.

[How is the issue of the hail conjecture going?] Is there any new development? 】

Seeing that it was a work-related email, Vera hurriedly shook her head, drove away those strange thoughts, and replied by poking her finger at the screen.

[Not yet, but when I was teaching my dissertation, I found a new idea. I have communicated with Qin Yue and Hardy that if this idea is feasible, it may be the key to solving the problem between z0 and the set of regular points beyond the integer function g(x). 】

The analytic function solution of the equation h(z^3)=h(z^6)+{h(z^2)+λh(λz^2)+λ^2h(λ^2z^2)}/3z] (where λ=e^{2πi/3}) is presented in the unit disk {z:|z|<1}: h(z)=h0+h1z/(1?z) (where h0, h2 are complex constants).

This conclusion has been proved by Benge and Professor Menadus in '94, and subsequent research on the Kakutani conjecture has basically revolved around this result.

In the research framework that Lu Zhou developed for his students, g(z) is a transcendental integer function, z0 is a point in the complex plane, and Φ(g) is the set of regular points of g(z).

If it can be proved that the function column {g(z)}∞k=1 has a subcolumn that converges locally consistently to ∞ or an analytic function in a neighborhood of the point z0, we can obtain a normal point where z0 is g(z).

Theoretically, these problems can be solved by group construction, and it is difficult to say, but it is certainly not much more difficult than the Polygnac conjecture.

Eyebrows raised slightly, a look of interest appeared on Lu Zhou's face, and he asked.

[What idea?] 】

【About ......】

As soon as she typed a line, Vera suddenly stopped pressing her index finger at the screen.

Maybe it's the little willfulness in her heart that is causing trouble, but somehow, she has always been well-behaved and deletes this sentence, re-edits the email, and clicks send a little willfully.

[I want to tell you in person when you come back.] 】

Lu Zhou, who was far away on the other side of the world, couldn't help but smile and shake his head after seeing these lines.

This little girl has also learned to sell off.

However, for her, who is not good at expressing her inner thoughts, this can be regarded as a small improvement.

After all, the premise of being cheerful is to dare to show yourself, whether it is an academic point of view or your truest side. And before, she had been afraid of this.

In the future, Lu Zhou will consider introducing the Ivy League Club to her.

The food is delicious, but it's not so easy to get in. Unless you are a scholar of academic repute, you must defeat your opponents through traditional and ancient ways of debating.

Of his three students, Hardy is the only one who has successfully obtained the right to eat there, and Lu Zhou has taken out five thousand dollars from the research fund of Kakutani's conjecture as agreed to help him pay for a year's membership fee.

As for Qin Yue, he is still working hard to exercise his speaking and expression skills, and is preparing for "challenging the free meal".

As for Vera, the challenge is still too difficult for her at the moment.

After editing an email, Lu Zhou smiled and pressed the send button.

[Then let's wait until I get back.] It seems that I can look forward to returning to Princeton this time. 】

Waiting for this email with apprehension, Vera breathed a sigh of relief, and couldn't help but feel a little disappointed that Lu Zhou didn't notice his little willfulness at all.

Originally, after sending that email, she was still worried about whether Lu Zhou would be angry because of her little willfulness.

But now it seems that he is completely alone there to be amorous.

Sitting on the bed with her knees folded, Vera took a deep breath and buried her face in her knees.

It was a long, long time before she shrunk into the bed, turned off the light and went to sleep.

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