Chapter 823 Examination with One Question

study……

math?

Lu Zhou froze slightly.

After a moment of silence, he coughed lightly and spoke.

"Computational materials science is also a kind of mathematics..."

"I don't want to learn calculation materials," Han Mengqi shook her head stubbornly, "I just want to learn mathematics."

As if she felt that her expression was not accurate, she immediately added another one.

"I mean, pure mathematics."

"Pure mathematics..."

Hearing this request, Lu Zhou suddenly felt dizzy.

Although logically speaking, he doesn't really want to talk about other people's ideals...

but……

Putting down the ballpoint pen in his hand, crossing his fingers on the desk, Lu Zhou looked at Han Mengqi seriously and asked.

"Can you tell me the reason... You have studied computing materials for three years, why did you choose to study pure mathematics at this time?"

Generally speaking, it is very common to transfer from pure mathematics to study other applied mathematics disciplines, but it is somewhat rare to switch from this applied mathematics discipline to study pure mathematics.

And it's fine if it's someone else, but among all his students studying computational materials science, Han Mengqi is the most talented one, and also the one he is most satisfied with.

Even Jericho, who has already gone to MIT to study for a Ph.D., may not be able to compare with her in talent.

It is impossible to say that he does not feel regretful about switching to a new field of research despite his promising future in computational materials science.

After all, Lu Zhou put a lot of effort into cultivating her.

Facing Lu Zhou's serious eyes, Han Mengqi slightly looked away, hesitated for a moment, and said in a complicated tone.

"I don't like chemistry at all... The reason why I chose chemistry at the beginning was only for the reason of adjustment. Actually, I originally planned to change my major in mathematics, but you set up an undergraduate training program at Jinda University. It just happened to be among the top grades in the department, and after a few words from the instructor, I signed up in a daze..."

Perhaps it was because she felt that her reason was so naive that she was too embarrassed to continue talking about it later.

adjust?

Lu Zhou almost spat out a mouthful of old blood.

Miss sister... oh no, little sister, your master's degree is almost graduating, is it really appropriate for you to go through the college entrance examination and choose a major adjustment?

"It's okay to adjust, right? My mathematics major is also adjusted," Lu Zhou tried to persuade with a dumbfounding expression on his face, "The key is not whether to adjust, but whether it is suitable—"

"It's not whether it's suitable or not," Han Mengqi shook her head, looked at Lu Zhou seriously, and said, "It's whether you like it or not."

Seeing her serious eyes, Lu Zhou was slightly taken aback.

Speaking of it, this seems to be the first time she refuted her point of view...

After being silent for a while, Lu Zhou recalled what he had said before, finally sighed and said.

"...You are right, interest is the best teacher."

Aside from systemic factors, he really likes studying mathematics and the feeling of being immersed in the world of mathematics, so he chooses mathematics as his direction of struggle.

If his students really like math...

He really didn't hold back her position.

Even in his opinion, computational materials science is obviously more suitable for her than mathematics.

Hearing that Lu Zhou agreed with her thoughts, Han Mengqi suddenly burst into a smile and said happily.

"That--"

"I won't stop you," Lu Zhou paused for a moment, looking at Han Mengqi who was full of joy, and continued, "However, my doctorate is not so easy...especially pure mathematics."

Slightly pursing the corner of her lower lip, Han Mengqi said firmly.

"It's okay...I will try my best."

"...Some things can be achieved not only with hard work. Mathematics is a subject that tests talent, especially pure mathematics. There are many people engaged in research in this field, but they can really make achievements that can be called, But there are very few of them. Some people spend their whole lives just learning and summarizing the knowledge of predecessors, far from creating.”

As he said that, Lu Zhou pulled out a piece of draft paper from the table, picked up the ballpoint pen on the table, conceived for about ten seconds, and wrote down a line of calculations on the paper.

【For any real number s>1, define ζ(s)=Σ1/(m^s)...】

Looking at this line of calculations, Han Mengqi slightly wrinkled her nose.

"This is……?"

It seems very simple.

Lu Zhou answered lightly: "Riemann zeta function."

As he spoke, he wrote the last part of the question.

【...To prove, ζ(2n) is a transcendental number. 】

Upon hearing the word Riemann, Han Mengqi, who was still thinking about the seemingly simple question, suddenly trembled, and said tremblingly, "Will you assign such a difficult homework to me as soon as I come up?"

"Don't be afraid when you hear about Riemann, you are living in the future one hundred and fifty years after his death," Lu Zhou smiled, and handed the super high self in his hand to Han Mengqi, "Besides, this is not homework. , but a test."

"……take an exam?"

"Yes," Lu Zhou nodded, "If you can solve this problem, I will allow you to study for a Ph.D. in pure mathematics with me."

Having said that, he paused for two seconds, and then added a sentence later.

"Of course, if you change your mind and want to read the computational material, my office door is still open for you."

After all, Lu Zhou was quite satisfied with her paper on topological crystal insulators. If this little girl can retreat despite difficulties and come back to continue studying calculation materials, he is of course very welcome.

Want to learn pure mathematics...

This thing is not so easy to learn.

Staring blankly at the draft paper in her hand, looking at this line of calculations and the question of finding transcendental numbers, Han Mengqi felt her scalp go numb.

Not to mention thinking of how to solve it, she didn't even understand the problem itself.

In the past, when studying computational materials science, the mathematical methods she used were basically concentrated in the fields of functional analysis, geometry and topology. Such knowledge of analytic number theory, even if she had heard it, she would not remember it. live……

However……

If she just gave up like this, it would be too unlike her.

Gritting her teeth, Han Mengqi raised her head, stared at Lu Zhou and said.

"Don't expect me to quit...I'll start by collecting information."

"How come, I am looking forward to your answer," Lu Zhou smiled and continued, "However, you only have two months, and I hope you can give me an answer before the end of the year."

"Hmph, how can it take two months, one month is enough."

Snorting softly, Han Mengqi took the draft paper, turned around and left.

The door opened and then closed again, and the office returned to silence, only the sound of brush nibs being heard.

Sitting in the office chair and meditating for a long time, Lu Zhou suddenly looked up at He Changwen who was sitting at the table not far from him—that is, the doctor of pure mathematics he was leading now, and asked.

"Changwen, if you are asked to prove that ζ(2n) is a transcendental number, you can think of several ways."

He Changwen, who was writing vigorously, stopped the pen in his hand. After hesitating for a moment, he pushed the glasses on the bridge of his nose with the cap inserted in the back, and said.

"I... can probably think of one... No, it should be two ways."

He said the last half sentence in a positive tone after hesitating for a moment.

With his ability, this sentence should be true.

Lu Zhou nodded and said briefly.

"Two are good."

He Changwen hesitated for a moment, and asked, "Is it too difficult for a master student?"

Although he didn't deliberately listen to the conversation between the professor and the master student just now, he still listened to it passively.

For those who have not been exposed to pure mathematics at the undergraduate or master level, it is indeed a bit too difficult to challenge such a difficult problem at the beginning.

This is not only a problem of lack of mathematical methods, but also a need to test the thinking of learning pure mathematics. And these things are not easy for a beginner, let alone a layman who has not yet started.

Lu Zhou smiled lightly.

"At the stage of Ph.D., it's time to learn to ask questions and find solutions to them."

"If she can come up with a method that is different from the standard answer, that would be the best."

"If she can't figure it out, it only means that she doesn't have the talent in this area. It's better to carefully reconsider the way forward."