Chapter 421: Chapter 142: On the Generalized Modal Number Theory Axiomatic System in Multiple Transcendental Spaces_3
Although the Twin Prime Conjecture and the Riemann Hypothesis are two independent problems from the perspective of number theory, they both share a common feature in being closely related to the distribution of prime numbers.
It can be said that if one could truly prove the Twin Prime Conjecture, the mathematical tools and techniques used would likely also be helpful in providing proof for the Riemann Hypothesis.
Qiao Yu is eager to prove himself as soon as possible. If previously telling Tian Yanzhen that he wanted to tackle this proposition directly was somewhat boastful, now he genuinely has his mind set on it.
On August 17th, after lunch, Qiao Yu, as usual, was flipping through a paper in his small study room.
Today, Qiao Yu was researching "The Langlands Basic Lemma and its Applications."
This is a paper by a Vietnamese mathematician, Ngo Bao Chau, which is very interesting. In proving the Langlands Program’s Self-Conserving Forms Basic Lemma, he employed geometric methods.
This breakthrough was named one of the top 10 scientific advances of 2009 by the then somewhat reputable "Times" magazine.
It was precisely this achievement that awarded this Vietnamese mathematician the Fields Medal in 2010.
Of course, this mathematician also became the first and only Fields Medal winner from the entire Southeast Asia region.
Just as he was getting to an exciting part, Qiao Yu received a call from Tian Yanzhen.
"Hurry to my office immediately."
After speaking, Tian Yanzhen hung up the phone without waiting for a response from Qiao Yu.
A summons from the mentor, Qiao Yu had no choice but to comply.
After standing up and stretching, he quickly went downstairs and arrived at Tian Yanzhen’s office.
Actually, from Qiao Yu’s perspective, Tian Yanzhen seemed somewhat elusive.
Most of the time, he didn’t even know if his mentor was in the research center or not.
His study and research are becoming more and more like a free-range mode.
In the initial phase, half a day would still be set aside each week for him to have questions answered. But recently, the Q&A time was directly canceled.
The reason given by Director Tian was that Qiao Yu now had a clearly directed topic and no longer needed the mentor to answer questions for him.
The only thing retained now is the Monday study and research progress report. This is not demanded by Tian Yanzhen but rather initiated by Qiao Yu voluntarily.
Of course, as a mentor, he could ignore the contents of Qiao Yu’s weekly reports.
But if there’s no response for a long time, Qiao Yu would ask: "Are you satisfied with my study and research results this week?"
If he still doesn’t look at it, it would put the mentor in a very awkward position.
After all, such a good student would make the mentor feel a sense of gain and loss.
You can’t really give a random satisfied reply without checking.
With Qiao Yu’s cunning, he would surely realize that the mentor hadn’t looked at those things. Then would this kid start slacking off next week?
Therefore, in a sense, Qiao Yu continuously conducts reverse PUA on his beloved mentor in a very conscious manner.
Forcing Academicians Tian Yanzhen and Elder Yuan to spare an hour or two each week, no matter how busy, to understand what Qiao Yu had done the previous week.
Of course, this method is not suitable nor can it be widely adopted. Let’s put it this way: if the big boss is really an academic giant, without such talent, not only would it go unnoticed, but one might also be directly ignored.
The reason is very simple; when discussing gains, if not handled properly, what makes students feel proud can often appear laughable in the eyes of experienced experts.
As a famous mentor from Yanbei once said while reprimanding students: "You really are amazing, always able to come up with ten thousand ways to make me feel utterly worthless in the field of education."
...
Arriving at Director Tian’s office, Qiao Yu, as usual, knocked before entering, and to his surprise, there was someone else in the office today.
"You’re here, let me introduce you..."
"No need, Director Tian, I know him, Professor Zhang Yuantang. I have seen Professor Zhang’s photos online. Hello, Professor Zhang, I’ve read your papers, which are very impressive."
Qiao Yu responded quickly.
"Brother Yuantang, you see, this kid is not the least bit honest." Tian Yanzhen shook his head, pointing at Qiao Yu, and said with a smile.
Of course, not genuinely angry.
Tian Yanzhen knew Qiao Yu’s little intentions, recognizing him directly made it clear that he valued Professor Zhang more than an introduction would.
After scrutinizing Qiao Yu, Zhang Yuantang also smiled and exclaimed, "Indeed, very young, don’t just stand there, have a seat."
After speaking, Zhang Yuantang patted the nearby sofa.
Qiao Yu immediately obediently sat down.
He certainly knew that Director Tian had specially invited this professor because he chose the Twin Prime Conjecture.
After all, the professor before him is one of the world’s top mathematicians in this field.
It was this mathematician who first proved there are infinitely many finite gaps between prime numbers, sparking a large-scale collaborative project in the world of number theory.
Reducing his gap upper limit from seventy million to 246.
These were all materials Qiao Yu had recently consulted.
Mathematics is like this; once someone provides direction and breaks through a certain bottleneck, others can quickly advance it a big step forward.
Until the next bottleneck appears.
Although Qiao Yu didn’t believe that Professor Zhang’s approach could truly solve the Twin Prime Conjecture completely, or tackle the case of a gap of 2, the experiences accumulated by these older professors on this problem were precisely what he needed most.
And these experiences are not entirely reflected in papers.
After exchanging a few pleasantries, Zhang Yuantang directly cut to the chase: "I heard from your mentor that you plan to research the Twin Prime Conjecture?"