Reborn Technology Scholar

Chapter 67 Number Theory

On Saturday, there was light snow in the sky.

Qin Yuanqing and others put on down jackets and looked handsome. Liu Feng and Zhang Jie each wore a suit.

In order to buy a suit, the two of them spent a whole morning shopping in the mall. They came back at two o'clock and even had a haircut. They looked much better than before.

Qin Yuanqing also rarely went to the library and read in the dormitory.

As December enters, exams for some courses have begun. Of course, Qin Yuanqing got full marks in the exams without exception, which made many students exclaim that they are abnormal.

The two dormitories finally met at the school gate. Qin Yuanqing took a look and found that the four girls on the other side were all pretty good-looking. In their department, they were all at the top level.

The little fat man's girlfriend is in great contrast to the little fat man. She is about 155cm tall and a thin girl.

Qin Yuanqing couldn't understand what the fat man's hobby was, but he liked such a thin girl.

As the middleman, the little fat man introduced both parties to each other.

The three girls all set their sights on Qin Yuanqing with expressions of infatuation. Unfortunately, Qin Yuanqing was indifferent and greeted them with a smile. However, Zhang Jie and Liu Feng were so nervous that their palms were sweating.

I took two taxis and arrived at a shopping mall not far away.

It's a friendship, but it's actually not complicated. In a Western-style restaurant, everyone was talking and laughing. After all, except for the two of them, no one knew each other, and they never realized that getting to know each other requires a process.

After finishing the meal, he directly opened a private room on the 4th floor of the shopping mall, and then performed a karaoke song. Qin Yuanqing sang "Fireworks Easily Cold". As a result, waiters came to take a peek and cheered constantly. Qin Yuanqing was quite excited.

Sorry, low-key, low-key!

Other girls also showed off their throats one after another. Qin Yuanqing found that these four girls were good at singing. Even if the little fat guy looked away, they were all singing tender songs.

However, Liu Feng and Zhang Jie were the worst. They were tone-deaf and could only sing Xiao Qi Ge's songs. However, they also had all kinds of broken voices. It was so miserable that they had to go to the toilet to draw circles.

Until around 11 o'clock, everyone was singing happily. Qin Yuanqing arranged a task, and each boy escorted a girl back, which created opportunities for Liu Feng and Zhang Jie.

When the little fat man heard Qin Yuanqing's arrangement, it was called a wretched one. The previous steps went smoothly, and tonight came the most critical step.

Qin Yuanqing also sent a girl back, but along the way he only talked about studying and taught the girl how to study, but there was no romance at all.

When Qin Yuanqing returned to the dormitory, he found that Liu Feng and Zhang Jie had not come back yet, and they didn't care. It would be best if the two of them could not go back to the dormitory at night.

Qin Yuanqing picked up his cell phone and chatted with Jingtian. They talked more at night and rarely at other times.

At this time in the video, the young lady is basically wearing a facial mask. According to her, women should start taking care of themselves when they are young, so as not to become sallow at the age of thirty. She plausibly uses Zhao Yazhi as a typical case.

Qin Yuanqing was also speechless. This White Lady really set a bad example. She could be called an immortal goddess. She was already in her fifties, but she still looked as young as a woman in her thirties. Time seemed not to have affected her very much.

It works on the body.

I don't know if it was the magic book taught by Qin Yuanqing last night that had an effect, or what happened, but Zhang Jie and Liu Feng stayed up all night.

When Qin Yuanqing went out in the morning, he didn't see them.

Qin Yuanqing brought milk and bread and arrived at the library. Unfortunately, the library was not open yet, but there were already students outside the library reading in the morning. Some were memorizing English while others were reading. There is always no shortage of serious study here.

Many people start preparing for the postgraduate entrance examination as early as their sophomore or junior years in college, and even graduate from their bachelor's degree early.

Although an undergraduate degree is a four-year program, it does not mean that you have to stay for four years to graduate. Many people finish their undergraduate majors early and apply for graduation early. As long as they complete the credits and pass the graduation defense, they can graduate.

Qin Yuanqing plunged into the hail conjecture and studied number theory in depth. The hail conjecture belongs to the field of number theory. Number theory is not deep enough, so there is no way to solve the hail conjecture.

Number theory is one of the branches of pure mathematics. It mainly studies the properties of integers. The advanced number theory studied by Qin Yuanqing roughly included algebraic number theory, analytic number theory, computational number theory, etc.

The greatest development of number theory was from the 15th to 16th centuries to the 19th century. During these three hundred years, great mathematicians such as Fermat, Mersenne, Euler, Gauss, Legendre, Riemann, and Hilbert were born. These great mathematicians

He promoted the development of number theory.

Many famous conjectures were born at that time and were left to the 20th century and even the 21st century. Some of them have not been solved even until now. For example, the Riemann Hypothesis!

Elementary number theory mainly studies the integer theory and congruence theory of integer rings. Classic conclusions include the fundamental theorem of arithmetic, Euclid's proof of infinite prime numbers, the Chinese Remainder Theorem, Euler's theorem (a special case of which is Fermat's little theorem),

Gauss's quadratic reciprocity law, the quotient-gauge theorem of the Pythagorean equation, the continued fraction solution method of the Pell equation, etc.

Analytical number theory uses calculus and complex analysis (i.e. complex functions) to study problems about integers. It can be divided into two categories: multiplicative number theory and additive number theory. Multiplicative number theory studies the properties of product generating functions.

Let’s discuss the problem of prime number distribution. The prime number theorem and Dirichlet’s theorem are the most famous classical results in this field. Additive number theory studies the possibility and representation of the additive decomposition of integers. Waring’s problem is the most famous in this field.

Famous topics. In addition to circle method, sieve method, etc., analytic number theory methods also include modular form theory related to elliptic curves, etc.

Algebraic number theory extends the study of number theoretical properties of integer rings to more general integer rings, especially algebraic number fields.

Of course, there are also geometric number theory, computational number theory, combinatorial number theory, arithmetic algebraic geometry, etc. Especially arithmetic algebraic geometry is the most profound and cutting-edge field in the development of number theory so far. It can be said to be a master. It starts from the perspective of algebraic geometry and through profound

mathematical tools to study the properties of number theory.

For example, Wiles's proof of Fermat's conjecture is a classic example of arithmetic algebraic geometry. The entire proof used almost all the most profound theoretical tools at the time.

An important research guiding program in contemporary number theory is the famous Langlands Program. With this contribution, Robert Langlands became a world-famous mathematician and won the Wolf Prize in Mathematics in 1996.

Qin Yuanqing plunged into the deep field of number theory. He spent almost every day in the library. In addition to taking individual courses, he also read related number theory books and tools.

Many conjectures in number theory have been proven in the past. The most important value is not that the conjectures become theorems, but the tools and mathematical thinking used in the process.

On December 5, the latest issue of "Chronicles of Mathematics" was released. Qin Yuanqing's twin prime number conjecture paper was still on the first page. After it was spread back to China, it caused a carnival in the domestic traditional media.

In the past, traditional media could only watch the online media bombarding them with envy. Now the paper is indeed confirmed, which also means that Qin Yuanqing has proved the twin prime conjecture. He should not rush to praise it.

"After proving Zhou's conjecture, two months later, Qin Yuanqing once again proved the twin prime conjecture!" "Journal of the Mathematical Society" reported with this title, explaining the concept, development process and proof significance of twin prime numbers, and at the same time, Qin Yuanqing His status in the mathematics community was affirmed, and for the first time, words like Qin Yuanqing, a top Chinese mathematician, were used.

"Confirming two major mathematical conjectures, Qin Yuanqing answered Qian Xuesen's question with facts!" "China Youth Daily" reported this as a headline. Qian Xuesen is the father of China's missiles and a scientific master renowned at home and abroad. In 2005, Mr. Wen Visiting Qian Xuesen, Mr. Qian said with emotion: "None of the students we have trained over the years has academic achievements that can compare with the masters trained during the Republic of China." Then Mr. Qian asked: "Why can't our school always cultivate outstanding students?" Talents?"

It immediately aroused widespread social concern and reflection, and some people used it to criticize the education system and call for education to be revolutionized.

In modern society, public knowledge is rampant, and various criticisms and appeals are made. In their words, China is hell and a stinking ditch, while European and American countries are paradise and the beacon of human civilization. Democracy and freedom, how beautiful!

I don’t know how many people have been deceived and have deep self-doubt! But now, China is about to replace Japan and become the world’s second largest economy, but they are still so unconfident. It is still the same situation. It was even more dire ten or twenty years ago. It’s easy to imagine.

For example, a certain short and fat man made various classic remarks, advocating America's friendship with China, and even praised Asan, saying that Asan is a very peaceful country. He spent a week in India and visited many places. At first, he He also visited this country with a defensive attitude, but his feelings changed during this week. Asan was not what he imagined. He said that the caste system in Asan was very good, and there were very few policemen in Asan, but even though In this way, there are very few crime incidents in slums.

Until the black swan appeared in 2020, various countries went through major exams. China's closed-book exam, which had been criticized, actually got the highest score. But other countries had the answers to the exam papers provided by China, and failed the open-book exam one by one. The United States, the lighthouse of mankind, actually set world records repeatedly. , people have become more aware of the true nature of such public knowledge, and each one of them has been swept into the garbage heap of history.

Even the live broadcast was stopped due to boycott!

When Ah San's black swan becomes more powerful and various aspects of Ah San's society are revealed before the eyes of the Chinese people, the Chinese people will realize that free medical care and low crime rates are all nonsense and deception.

Many people even wonder whether these intellectuals have taken money from abroad and want to carry out peaceful evolution in China. Otherwise, why are they working so hard? They are typical modern Japanese devils.

Now, the Youth Daily is criticizing those false remarks. The Chinese education system can also cultivate talents. If people who continuously prove two mathematical problems cannot be called talents, then what can be called talents?