Scholar’s Advanced Technological System

“Neither? ”

Molina stopped.

Setting her mind, she looked at the ark and said in a skeptical tone: “I know you are a genius... although Goldbach's guess is not my field of study, if I hear correctly, are you not going to overthrow this century of work? ”

The ark smiled lightly and said in an easy tone.

“The question of a + b is ultimately a complex expression of Gothenbach's assumption that each large even number N can be tabulated as A + B, where the number of prime factors A and B does not exceed a and b, respectively. And when a = b = 1, the question eventually returns to the original formulation, that is, any even number greater than 2 can be written as the sum of the two primes. ”

The number of prime factors is 1, and nature is prime.

So the 1 +1 form, ultimately, is the Gothenbach conjecture itself.

Molina said in a toned tone, "You mean people who've been studying Goldbach's speculations for centuries have been doing nothing? ”

“Of course not," the ark shook her head and suddenly threw an unexpected question, “Do you know anything about sports? ”

Molina frowned slightly: “Sports? ”

Ark: “Jump far, you know. ”

Molina whispered and said, “Of course. ”

The ark smiled slightly and said: "Brown's opening a + b proverb is equivalent to jumping ahead of the run. While running time itself is not counted as a grade, is running useless? By the same token, a + b is equivalent to Godebach's speculation on the run. If it weren't for it, there wouldn't be a later big screening -- an enlightening and potentially analytical mathematical research tool. It can even be said that the value of the Grand Screening has transcended the Gothenbach conjecture itself. ”

Whether or not the Big Screen really crosses the last 1 +1, it has accomplished its historical mission and played an important role in parsing mathematics.

Including the Ark, it has benefited greatly.

With long hair in her lower ear, Molina looks at the ark: “So how are you going to prove it? ”

The corner of the ark's mouth gave rise to a confident smile.

“It is, of course, proved in its own way. ”

Don't know why.

Seeing the confident smile on his face, Molina's heartbeat accelerated for so many seconds.

Of course, for a woman who has decided to marry mathematics, the so-called accelerated heartbeat is just a moment...

……

A solution to a mathematical conjecture requires a cumulative workload, as well as a creative genius.

Neither is needed.

Like the Fermat Theorem.

When Shimura Taniyama's speculation was proven, even though no concrete prospects were yet in sight, it counted in all hearts because a tool had emerged that could solve the problem. Indeed, Andrew Wiles, has finally completed this historic task.

But for Gothenbach's guess, whether it's a big sieve or a circle, it's almost that feeling.

The former did a lot of paving work, but both Chen's theorem from “9 +9” to “1 +2” and Helfgott's proof of Godebach's weak speculation under odd conditions were only one last step away. Even the significance of Chen's theorem is more to let other mathematicians know that the road of the big sieve method has been maximized by Chen Jingrun, and this road is no longer possible.

The same is true of round methods.

It is for the same reason that, in his speech at the end of last year, Helfgott concluded with the phrase "We have a long way to go in fully proving Gothenbach's assumptions”, expressing his hopelessness that Bach's assumptions will not be resolved in the short term.

At the very least, there is no hope for circular methods.

The ark couldn't help but begin to reflect, whether both methods went into the dead end.

When he first studied twin count speculation, he faced similar problems.

Zhang Yitang's study cleverly selected the lambda function, limiting the spacing of prime pairs to 70 million, and the successor narrowed the number to 246 within a year, and then couldn't go any further.

The original idea of the ark was also to choose an appropriate lambda function, but after countless attempts, it was eventually discovered that the road was impassable.

There are too many lambda functions to choose from, but no matter how he looks, he can't find the right one.

Until, in the state of inspiration, he tried a completely different proof line, introducing topological theory into the concept of screening, which opened the door to a new world.

Although this idea was first mentioned in Professor Zerberg's '95 paper on the Gothenbach speculation study, it was himself who improved it and introduced it into the prime pair of questions.

Later on, on this basis, the Ark introduced the knowledge of cluster theory, pushing the prime pair of finite distances to infinity, and on this basis solved Polynyak's assumption that this method had been transformed twice by magic, completely off the face of the sieve.

The Ark therefore engraved a new name for this weapon of its own, the "Cluster Act”.

But when thinking about Goldbach's assumptions, inertial thinking makes him selectively ignore his tools.

On the face of it, the cluster method does not seem to have anything to do with Goldbach's assumptions, but it has evolved from the screening method at its root and has always been to solve the prime number problem.

As long as improvements are made, it is not necessary to use this tool for Gothenbach speculation on the same prima facie issue.

When this mathematical method is constantly refined enough to solve many problems, from toothpick to Swiss Army knife, it may no longer be a simple tool, but gradually evolve into a theoretical framework! And it's the theoretical framework in the analytical mathematics!

Just like the mathematical world's famous "Second Sick” Watching the Moon New Year, the "Intercosmic Teichmüller Theory” and the "Completely Pure Structure of Alien Arithmetic" were created when studying ABC speculation.

There are precedents to be followed, either by building theories and then proving the value of theories, or by developing novel theories while studying specific mathematical issues.

From Gothenbach's speculation, the ark sees hope implicitly.

……

After coming out of the catering club, the ark did not go to the library for a while after eating, as usual, but to the Princeton Institute of Higher Studies.

Although he did not have an appointment, according to Professor Delrin himself, he would be here every evening between 6 p.m. and 8 p.m., if not surprisingly.

Knocking on the door of the office, the ark walked in.

Paused the ballpoint pen in his hand, Professor Deligne looked at the ark opposite the desk and asked in a relaxed tone.

“Have you thought about it? ”

The ark nodded and said.

“Yes, I intend to continue my research… I'm sorry I may not be able to draw extra energy into your topic. ”

Deligné nodded without dissatisfaction.

Sitting in his chair, it's hard to be as narrow as the average PhD student's boss, using some boring tests to see if students are "listening”. As he said at the outset, he offered two options to the Ark.

Deligne: “I respect your choice, but as your mentor, I need to know what your research topic is? ”

The Ark answered truthfully: "Goldbach guesses. ”

Deligne nodded, not as surprised as Molina was about the subject he was studying, the usual calm on his face, but rather surprised the ark that threw the proposition.

Is that...

Old Senior Deligne also considered himself to be the “best person” to address this assumption?

How embarrassing.

A little pride in the heart of the ark.

DL: “Goldbach's guess is an interesting question, and I studied it when I was younger, but I didn't go into it, and I may not be able to help you much. The closest research results at the international level are evidence of weak speculation by Chen's theorem and Helfgott's, and I look forward to seeing you work out something novel on that basis. ”

“Of course, in addition to your own research, I have some work to do on my side that needs you to do. Jobs like teaching assistants. ”

The ark nodded: “No problem… if it's a course in mathematics or general analysis, I can still say some things. ”

“It's mostly about analyzing the mathematics, and I'm sure you have more than enough to do this job with your abilities… In addition, I have prepared a meeting gift for you. ”

After a pause, Mr. Deligne reached out and pulled out the drawer, removing from it something identical to a certificate, and placed it on the table, seriously relieving a slight smile on his face.

“I've heard from you that your family is in bad shape. Yesterday, I solved the scholarship problem for you while I was helping you with the enrollment formalities. You should take this to the teaching department later, and solve the tuition fee thing. ”