Returning to the time before the college entrance examination, Wu Tong made up her mind to study hard and change the tragedy of her previous life, becoming her parents' pride.
From being ...
Chapter 56 Teacher?
Wu Tong was not so arrogant as to think that he could challenge the world's problems with his level as a beginner.
However, years ago, Wu Tong completed the basics of all areas of mathematics. After coming to Peking University, he continued to study number theory and naturally came into contact with materials and papers on various conjectures in number theory.
Of course, Wu Tong is not troubled by general difficult problems. It is a lie to say that Wu Tong has no interest in solving the world's difficult conjectures. Anyone who studies mathematics has an ambition to solve the world's difficult conjectures.
She had just read and studied many books and papers on number theory, and inevitably started an in-depth study of prime numbers. Few people who study number theory are not fascinated by prime numbers, and she is no exception.
Among integers greater than 1, the number that can only be divided by 1 and the number itself is a prime number.
The new progress of twin prime numbers in later generations was vaguely dug out from Wu Tong's memory of his previous life. It should be 2013. Mr. Zhang Yitang, who was teaching in Country M at that time, proved that there are infinitely many pairs of prime numbers whose difference is less than 70 million.
Although 70 million is a very large number, this result is the first time that someone has formally proved that there are infinitely many pairs of prime numbers with a spacing less than a fixed value.
However, the further you go in finding twin prime numbers, the harder it becomes. Mr. Zhang has only advanced to this point!
The International Association of Mathematicians, using Mr. Zhang's method, has reduced the number of 70 million to 246. Mathematicians around the world who are interested in this want to keep trying, hoping that by selecting an appropriate function, one day they can reduce the gap to 2.
However, the step from 246 to 2 is still like a mountain, troubling mathematicians all over the world.
What’s even more regrettable is that Professor Zhang still mostly used classical mathematical techniques, which were not very innovative and caused some controversy at the time.
At that time, because it was a breakthrough by Chinese mathematicians, it was reported on the headlines of domestic news one after another, and Wu Tong had some impression of it.
If I remember correctly, Mr. Zhang used his improved sieve method at that time. Although Wu Tong has not yet found a solution to the twin prime conjecture, based on her instinct of deducing from the Enlightenment Stele, she has already made an intuitive judgment that relying solely on the sieve method will not work!
Professor Zhang’s contribution to the twin prime conjecture is indelible, but he still cannot solve this world-wide problem.
After carefully deducing the arguments of various methods in different papers, Wu Tong had some ideas for the part that had already been deduced. She then wrote down a few lines of formulas, which were arguments based on her own ideas.
She tried to deduce a few more steps, but her ideas were too scattered to be connected, so she needed to continue her research and study.
The twin prime conjecture is indeed a world-class conjecture. Now when she is solving university questions, she basically has no stuttering and can extract ideas from the questions and her thoughts come naturally and smoothly. However, when faced with this difficult problem, she still feels deeply the lack of knowledge and the future is bleak.
Wu Tong didn't intend to eat a big fat paper in one bite. No matter how difficult the question is, there is always an answer. The fact that she can't give an answer now can only be that she hasn't learned enough.
Holding the draft paper of the deduction, Wu Tong stood up and wanted to find more information on this subject. Sieve method, circle method, Lie group? Or...
Wu Tong's thoughts were still immersed in constant deduction, and he left his walking entirely to instinct.
It is only the fifteenth day of the first lunar month, and there are still a few days before the start of school. There are few people in the Peking University Library now, and the mathematics section is even sparser.
Every time Wu Tong comes, he almost always goes to a fixed location, and he is so familiar with the route that he can get there with his eyes closed.
Wu Tong, who was still immersed in the state, instinctively walked to the bookshelf she wanted, and was about to go around to the other side to get the information she saw. However, when she turned a corner, she didn't expect that there were other people in this area, and she found that there were people on the opposite side with the same goal as her.
The light from the library lengthened the tall figure of the visitor, and also cast a little shadow of Wu Tong at this end. Wu Tong and the visitor stopped in time and dodged to the side to avoid an unprepared collision, but in the thrilling moment, the draft paper in Wu Tong's hand fell to the ground like snowflakes.
"Sorry, I wasn't paying attention when I was walking. I hope I didn't bump into you?" It seemed like she almost bumped into someone?
Wu Tong came back to his senses in shock, and his first reaction was to apologize. He shouldn't have let himself be obsessed with deduction and let it occupy all his attention, and he should have trusted his instinct.
When she raised her head, a cold and sharp face was reflected in Wu Tong's eyes. She was stunned for a rare moment. This was an outstanding face that would attract 200% of people turning their heads when walking out. If it were in ancient times, it would definitely be enough to fill the car with fruits.
However, although Wu Tong has not yet reached the saintly realm of Lan Yan Skeleton, apart from the surprise of suddenly seeing beautiful things, she is not too obsessed and is very calm. The beauty of mathematics has occupied her mind except for her family.
After apologizing, Wu Tong squatted down to pick up her draft paper.
Lu Xiao pinched his brows lightly. A pair of gold-rimmed glasses rested on his high nose bridge, adding a touch of elegance, calmness and erudition to him.
He was also caught off guard. He bent his knees and squatted, gathering the draft papers beside him. In the process of picking them up, a series of derivation formulas came into his eyes. Is this... a prime number?
"I was distracted too! The special form of the twin prime conjecture under the Bonia conjecture?... The sieve method can't go on?" Glancing at the derivation formula at the top level, Lu Xiao handed the draft paper in his hand to Wu Tong, slowed down his tone, and asked softly.
The tail of his delicate eyebrows twitched slightly. How long had he not been out of the laboratory? Have the children nowadays begun to challenge the world's conjectures?
Wu Tong still has a childish face, and you can tell at a glance that he is not very old. Which professor in the School of Mathematics is he? A family tradition of learning, and there is someone to carry on the legacy!
"Yes, sir!" Wu Tong was unsure about the identity of the person opposite him, so he chose to use the honorific "sir".
She said she was a senior student at the graduate school level, but intuitively, she didn't look like a student! She said she was a professor at Kyoto University, but she seemed a little too young! However, youth is not the criterion for defining a person's ability. She could tell her research direction from a few messy derivation formulas. She had a strong foundation in mathematics. She should be the best math person she had ever met!
Lu Xiao pondered for a moment and gently pushed up his glasses on his nose.
"Perhaps, there is a way other than the sieve method. Hibbert's method of proving the infinity of prime numbers is the topology method. Perhaps you can try this direction?"
Lu Xiao raised his hand, took a book from the top of the bookshelf and handed it to Wu Tong, "This is Zellberg's supplementary research on sieve theory using the method of topology. I hope it can inspire you!"
Topology? Are there certain properties of geometric figures or spaces that remain unchanged after continuously changing their shapes?
In an instant, the distance between the library's lamps, bookshelves and the people opposite seemed to form a golden triangle ratio in the spatial composition. From the perspective of the view, pure geometric images rotated in Wu Tong's mind, and the soft light of the enlightenment stone tablet spread.
Ripples of thoughts splashed in Wu Tong's mind, as if a white dove of inspiration flew away. She seemed to have grasped a little bit of thread that could string the broken chain into a beautiful pearl necklace.
"Thank you, teacher!" Wu Tong borrowed the book to express his gratitude.
She was sure that this level of knowledge was not something that ordinary students could possess. The light-hearted instructions had cleared away the fog that had just enveloped her eyes, revealing a little light.
Even if he guesses wrong, it doesn't matter. A wise man is her teacher. The fact that he can give her guidance is enough to prove that his knowledge is superior to hers. A wise man is her teacher, and it is worthy of the title of teacher!