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Chapter 457 In-depth study (2 in 1 4000+)(1/2)

Without any surprise, Chen Zhou's attention was attracted to the scanned manuscript in front of him.

Professor Arting, the old man who has completed the transition from linear binding algebra to binding rings.

Looking at his manuscript of abstract algebra research, Chen Zhou could realize the power of this man's mathematical thinking.

This is something that Professor Artin never felt.

Mathematical thinking and mathematics learning habits can easily have an impact on a person.

Especially those who are good at learning and change themselves.

Chen Zhou subconsciously learned Professor Ating's mathematical thinking and mathematics learning habits from these manuscripts.

"The mutual antonyms found in the field theory that are suitable for more general situations, that is, the mutual antonyms of Artin..."

"Given a Q, the Galois group is a number domain of the exchangeable group, the Atin mutual antonym of any one-dimensional representation of the Galois group is accompanied by an l-function, and asserts:

The l-function is equal to some Dirichlet l-function..."

Chen Zhou looked, learned and thought.

The pen in my hand also jumped with the beating of my thoughts, leaving lines of text and mathematics on the draft paper.

"The Dirichlet l function here, that is, the analogy of the Riemann ζ function, is expressed by the Dirichlet feature..."

"And the Artin mutual antonym is composed of the accurate connection between these two l-functions..."

"If we give the unexchangeable Galois group and its high-dimensional representation, we can still define some natural matching l-functions, that is, the Artin l-function..."

As his thinking spread, Chen Zhou felt more and more that something seemed wrong.

According to Professor Arting's thoughts on this unsolved problem, it can be extended to a major proposition soon.

And this is not an ordinary big proposition. It was something that Chen Zhou had just sorted out and led the development of mathematics.

This thing is the Langlands Program.

In mathematics, the results of the program are only a handful of results.

There are roughly only three types of Irishen Program, Hilbert Program and Longlands Program.

The Irish Gen Program and the Hilbert Program were products from the second half of the 19th century to the early 20th century. They produced important homework in the history of mathematics and influenced the fields related to mathematics for a long time.

The Langlands Program has been influencing research in mathematics-related fields since its birth until today.

As for why Chen Zhou felt something was wrong, it was because the Langlands program, based on the Artin l function, further studied his conjectures were extended to the function domain, and obtained more complete content.

And now he is also in a trend of researching towards the Langlands Program.

But now is not the time to stop.

Chen Zhou himself didn't want to stop.

"When you find the appropriate promotion of Dirichlet l-function, it is possible to promote the Artinian mutual antonyms..."

"A fully pure function defined on the first half complex plane, satisfying certain functional equations, that is, the connection between the fully pure self-conservative form and the Dirichlet l-function..."

"The self-contained sharp point indicates that it is a certain type of infinite dimension irreducible representation of the general linear group gln on the q-Adal ring..."

"If promoted and applied to self-confident sharp points..."

The pen in Chen Zhou's hand kept rubbing on the draft paper, leaving lines of text and mathematics in line with each other.

As the research on this sub-project continues to deepen, Chen Zhou has gained more and more confusions? There are more and more problems that need to be solved.

At this time?    The sky outside the window was already dark.

After Chen Zhou returned to the dormitory, except for the time he entered the system space, the rest of the time?                                                  

I have to say that Professor Arting's manuscripts have a certain amount of magic.

If this thing had been put before? Chen Zhou would only think of it as a bunch of ghostly talismans.

But now, these ghost painting talismans are extremely attractive.

"In this case, will Longlands' counter-opinion guess be deduced sooner or later?"

The pen in Chen Zhou's hand paused slightly.

Scan the contents on the draft paper? I silently sorted it out in my heart.

After finishing it, the pen in Chen Zhou's hand fell on the draft paper again.

Regardless of whether it is the mutual conjecture in the Langlands Program or not, this topic must be done.

You can't stop at this point, right?

Hesitation means defeat.

Time ticked by.

It was not until after ten o'clock in the evening that Chen Zhou put down the pen in his hand and stretched.

He sat in front of the desk for nearly twelve hours.

It was only 9 a.m. when I returned to Princeton from Providence.

But at this moment? The sun and the moon have changed, and it is past ten o'clock in the evening.

Boil a pot of hot water? Chen Zhou planned to make a bucket of instant noodles.

I bought this instant noodles before, and there is only one bucket left.

It just happened to be eliminated now? Go out to replenish the goods tomorrow.

Chen Zhou has decided? After eating, adjust his study plan.

Let’s try to solve this sub-project sent by Professor Arting?

Then use this as a fulcrum or opportunity to conduct a more in-depth study of algebraic geometry.

Thus, through the study of algebraic geometry, the current distribution deconstruction method is improved.

Finally, I solved the Goldbach conjecture that had troubled him for so long but had not made much progress.

Of course, the overall learning rhythm here is still intersecting with the rubber ball topics in physics.

Chen Zhou has always felt that this kind of cross-learning between disciplines will help improve each discipline.

Moreover, it is easier to inspire the thinking of the subject.

"Tsk tsk tsk...it's still delicious instant noodles!"

"The pickled cabbage is so sour!"

Chen Zhouzi sucked the instant noodles in the bucket with a slight sound.

Open the windows and then start cleaning up the mess.

In the past, Chen Zhou was reluctant to add ham sausage when eating instant noodles, let alone braised eggs and so on.

But now he is still a millionaire after all.

Isn't it too much to add a ham sausage and add a braised egg?

This must correspond to identity and temperament.

Chen Zhou, who was sitting at the desk again, had a hint of expectation in his eyes and his eyes became more determined.

A mathematician should probably insist on being in one field and always strive for it.

Just like a workplace person, in a field, striving for a lifetime for a career that he is familiar with.

Because entering other fields always requires certain risks and more learning.

But even if you study hard, work hard and work hard, you may still achieve nothing in the end.

This is also the reason why many people only make layouts and struggle in areas they are familiar with.

But Chen Zhou is different. He is almost standing on the ceiling in the field of analyzing number theory.

To make a breakthrough, you must enter other fields of mathematics.

Moreover, from the very beginning, Chen Zhou hoped to use knowledge from other fields to enrich his distribution deconstruction method.

What's more, if you want to win more mathematics awards, you want to get more linguistic experience values.

Then we must not just stay in an analytical number theory.

Furthermore, math needs 500,000 natural science experience value from lv7 to lv8.

I don't know what lv8 liter lv9 looks like.

Chen Zhou also has to prepare for the next path of his Mathematics Building in advance.

Now, the most suitable and ideal algebraic geometry has become Chen Zhou's next stop.

"Each l-function of the finite dimension representation of the Galois group from a given number domain is equal to a l-function from a self-confident point representation..."

"If you want to establish a one-to-one correspondence, you must consider the appropriate expansion of the Galois group, that is, the Vey-Drinne group..."

As Chen Zhou was immersed in the draft paper on the desk again, the dormitory became quiet again.

Apart from the faint smell of sauerkraut, the owner here told me that he had just finished instant noodles.
To be continued...
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