CHAPTER 403: CHAPTER 138: MATHEMATICS? NOTHING BUT A GAME OF THE CREATOR!_5

The Riemann Conjecture, a topic that Master Grandfather hadn’t wanted to touch before. This probably explains its difficulty, but at the same time, it’s quite interesting.

Of course, neither Director Tian nor Master Grandfather across the table was actually that strict.

At least they didn’t require him to prove the Riemann Conjecture within a certain time frame.

But then again, even to address those preliminary propositions is not that simple.

Otherwise, it wouldn’t have become a series of conjectures. Oh right, Director Tian also mentioned needing a new perspective.

Actually, when wanting to study prime numbers, Qiao Yu had already roughly understood the Riemann Conjecture. Of course, this also includes the Twin Prime Conjecture.

Undoubtedly, this belongs to the realm of traditional number theory research. Current research methods are mainly focused on techniques like the Prime Number Theorem and sieve methods.

The paper by Professor Zhang Yuantang, which Professor Tian mentioned yesterday, Qiao Yu had actually read as well; the sieve method is one of the main mathematical tools.

Simply put, it’s about eliminating non-prime numbers through a process of gradual filtering, thereby identifying prime numbers.

However, Professor Zhang’s method is indeed innovative. If Qiao Yu were to evaluate it, he would say it is a new application of the weighted sieve method to control the gaps between prime numbers.

But clearly, this is not enough, otherwise, Professor Zhang would have directly solved the Twin Prime Conjecture.

Additionally, Qiao Yu feels that the sieve method is still too cumbersome and lacks aesthetic appeal.

The paper was over fifty pages long. Moreover, the method cannot be generalized, for example, it cannot be applied to triplet primes and larger prime sets.

Qiao Yu has a feeling that continuing research in this way can at most limit the gap between infinitely many pairs of primes to a small number, like a single-digit number greater than 2.

But to narrow it down to 2, relying solely on the Prime Number Theorem, sieve methods, or the functional analysis and Fourier analysis used by Professor Zhang, cumulative functions, smooth weights, and such known tools would definitely be impossible.

There isn’t much theoretical reasoning, it’s purely a feeling on Qiao Yu’s part.

Again, if the existing tools could tackle this conjecture, wouldn’t all those talented mathematicians be considered useless?

"Hmm, I can’t follow the methods of the predecessors, I have to create a new framework myself."

Qiao Yu said to himself, then climbed out of bed.

Even though it was still dark, Qiao Yu was already used to getting up as soon as he woke up; continuing to lie in bed wouldn’t make him fall asleep again.

Even if he did fall asleep, sleeping for a long time wouldn’t necessarily make him more energetic, on the contrary, it might make him more lethargic.

After casually washing up in the bathroom, Qiao Yu glanced at the time when he came out; it was already 5:37 AM.

This time was quite good... equivalent to having slept for about ten hours yesterday, no wonder he felt so refreshed.

Flipping through WeChat, he saw that Master Grandfather had replied. Hmm... planning a welcome banquet for Qiao Xi?

The private room was already booked, at the Class A Restaurant in Huaqing Alumni Forest. Qiao Yu had heard of this restaurant; it was quite famous within Huaqing, but he also heard that booking a room was difficult.

Whether it was because of the holidays or because of the old man’s connections, they managed to book a room at short notice.

However, Qiao Yu thought this treatment was a bit exaggerated. Although he knew that a lot of it was coddling him, what had Qiao Xi done to deserve this...

One top-notch academician went to pick her up, and another top-notch academician hosted a welcome banquet...

This was somewhat excessive.

Bear in mind that when he came to Beijing at the beginning of the year, he came alone with just a backpack.

The only person who came to pick him up was Old Xue, and his first dinner at Yanbei University was just a simple meal with two people in a regular cafeteria.

On the day he arrived, he didn’t even meet Director Tian.

Well, this was indeed somewhat unfair to Tian Yanzhen. Actually, that night the advisor wanted to meet him and had already reached the door of his dormitory.

But seeing that Qiao Yu was too engrossed in reading the paper, he didn’t go in to disturb him...

Oh well... the two big shots honoring mom was ultimately out of their regard for him.

Thinking of this, Qiao Yu felt proud again and decided not to tell Qiao Xi this news for now, to surprise her later.

Alas, thinking about it, Qiao Yu even felt a bit envious of his own mom.

Qiao Xi certainly knew what she was doing, to have such an outstanding son like him; life could be effortlessly filled with things that others yearned for...

This just highlighted how foolish that man was; he ran away from a good thing he could have easily owned, now he must be regretting it a lot.

Even though he recognized him, he still pretended not to know, probably the greatest potential achievement he could have been close to was taken by Qiao Yu, his heart should feel quite bitter, right?

What a pity.

Qiao Yu expressed his feelings silently, then picked up a book.

Unfortunately, the fastest way to get into a learning state every morning was still to read a math book.

If his mind kept dwelling on the joy of this period, the whole day would be wasted.

For example, the book co-authored by Henrik Ivanets and Emmanuel Kowalski, "Analytic Number Theory," is definitely an excellent remedy for lethargy.

It covers all kinds of advanced topics, the only drawback being it’s too old. In Qiao Yu’s view, it’s best read broadly, but it’s still very useful for clearing the mind.

Especially the content on the Dirichlet L-functions.

How to put it, the analytic continuation of the Dirichlet L-functions is explained very thoroughly, extending their domain directly over the entire complex plane.