Chapter 442

It's the end of February.

It has been more than a week since the start of the new semester.

One thing that deserves to make Gu Lu happy is that he finally stopped teaching undergraduate courses.

Last semester, the teaching of "Mathematical Analysis III." has been fully started.

And the academy did not arrange other courses for Gu Lu.

That means.

Except for Chen Mo and Bao Zi, two doctoral students, Gu Lu does not need to teach other students this semester.

This is of course a good thing for Gu Lu.

Because this can save Gu Lu a lot of time.

More energy can be focused on scientific research.

And.

Let the current Gu Lu teach a group of undergraduates, in the eyes of the leaders of the college, it is completely a waste of resources in the eyes.

With that time, it is better to let Gu Lu teach a few more excellent doctoral students.

Speaking of doctoral students.

At the end of February, something else happened.

That is one of Gu Lu's current doctoral students, Bao Zi, who has completed the writing of the first draft of his graduation thesis.

At that time, when Gu Lu received the first draft of the paper from Bao Zi, he was stunned.

Because Gu Lu didn't expect the efficiency of Bao Zi's side to be so fast.

It has only been less than five months since the assignment of the graduation thesis task has been completed.

Within five months, Bao Zi completed the writing of the first draft of the thesis.

This speed......

It was really faster than Gu Lu expected.

Originally, Gu Lu's target was to let Bao Zi and Chen Mo complete their graduation thesis within half a year.

And Bao Zi can be said to have overfulfilled the task.

This gave Gu Lu a big surprise.

Gu Lu temporarily put down the work at hand, opened the first draft of the paper sent by Bao Zi and browsed it.

Bao Zi's main focus is on the direction of number theory.

For Bao Zi's graduation thesis, he naturally chose a problem in the field of number theory as a research topic.

"Solvability of Two Complex Number Theoretic Functional Equations with Smarandache LCM Functions"!

This is the title of Bao Zi's graduation thesis.

This is quite a complex subject.

The content covers the knowledge of Euler functions, Smarandache LCM functions, composite Euler function equations and other aspects.

Unless you have a deep understanding of the field of number theory.

Otherwise, even some associate professors in non-number theory may not be able to read Bao Zi's paper.

But this is not a problem for Gu Lu.

Gu Lu is quite simple to read Bao Zi's paper.

And with a simple sweep, Gu Lu can find some deficiencies in Bao Zi's article.

【…… If the positive integer n=p1^r1p2^r2p3^r3, where P1, P2, P3 are primes, then Euler's function φ(n)=n(1-n/p)......]

[As above, theorem 1: Complex number theoretic function equation with Smarandache LCM function φ(φ(n-S(SL(n))))=8.]

……

Bao Zi's paper is very long.

Stripped of the table of contents in front and the references in the back, there are still more than forty pages.

However, Gu Lu's browsing speed is very fast.

After about half an hour, Gu Lu finished reading the first draft of Bao Zi's paper.

In short, in this paper, Bao Zi explores the solvability of the complex number theoretic function equation φ(φ(n-S(SL(n))))) = 8,10 with Smarandache LCM functions.

where φ(n) is the Euler function and S(n) is the Smarandache function.

SL(n) is a Smarandache LCM function.

Then, by using the relevant contents and calculation skills of elementary number theory and analytic number theory, all the positive integer solutions of the above two number theory function equations are obtained.

It's not complicated to explain.

But it's hard to understand the content of any associate professor.

After a brief scan, Gu Lu already had a rough estimate of Bao Zi's paper.

According to the graduation standards of the School of Mathematics of Yan University, Bao Zi's thesis is completely up to standard!

Even though Bao Zi's paper is only the first draft of the first edition.

But......

If you write a thesis just for the purpose of graduation, it will be too boring.

Gu Lu hoped that Bao Zi would revise her paper to perfection.

Then, according to the quality of this paper, it is not a problem to be included in the general journal of SCI Zone 1.

There is even the possibility of rushing upwards a little further.

While thinking like this, Gu Lu marked the places that needed to be revised in Bao Zi's paper in the document one by one.

and give suggestions for amendments.

And then......

Call back and let Bao Zi revise it.

Soon, Bao Zi replied to Gu Lu on WeChat with a crying emoji.

"Come on!" Gu Lu typed these two words with a smile.

…………

Early March.

Spring returns to the earth, and everything recovers.

The ice and snow melted, and spring finally enveloped the whole land again.

The bitter cold, which had lasted all winter, was finally showing signs of getting warmer.

The panties that had been hanging on the balcony for months were finally dry.

And Gu Lu will not be frozen every time he goes out.

Nothing special happened during this time.

The entire mathematical community was calm, and the battle between Gu Lu and Konstantin was rarely discussed now.

Because everyone knows that the victory or defeat of the battle will not be really known until a year or two at the earliest, there is no point in discussing it in a hurry now.

Instead of having that time arguing in the forum, it is better to focus on the research topic.

After last year's International Congress of Mathematicians, there are many popular research directions in the mathematics community today.

Including the re-loop conjecture, the whole point problem in the ball, and so on.

Most of these areas are blank, and it is a vast fertile land waiting for them to conquer the city.

Once any major results are achieved, the money and status brought by it are incalculable.

Therefore, in the six months since the conclusion of the International Congress of Mathematicians, the research enthusiasm of mathematicians has been high, and the academic exchange activities of mathematics have shown a blowout trend, and one research group after another has been established.

Also in this half year, many mathematicians of the older generation who have been silent for many years have come out with new results as if agreed.

These new mathematical achievements cover many fields such as geometry, number theory, algebra, topology, functions, and functional analysis, and push the development of these branches of mathematics one step further.

After half a century, the mathematical community seems to have ushered in his golden age again!

And in the field of astronautics.

NASA has advanced the next manned lunar landing to 2023.

India has officially stated that it will launch its first probe to the moon around September this year.

Many countries have put lunar exploration projects on the agenda.

Try to catch up with the footsteps of countries such as the United States and China.

And when it comes to quantum computers.

The United States has successfully developed a new generation of superconductor quantum chips, and is trying to manufacture computers with higher qubits and realize the commercial use of quantum computers.

Huaguo's national key R&D plan of 'semiconductor quantum chips' is quietly recruiting, trying to achieve overtaking in the direction of semiconductor quantum chips and successfully develop the world's first quantum computer.

A world of great controversy slowly kicked off like this!