Like most boys, Qin Ke doesn't care much about his birthday.

Of course, it is difficult for him to forget his birthday, because usually his birthday will come not long after his sister Qin Xiaoke's birthday.

Two weeks ago, he took a day to go back to his hometown to celebrate his sister Qin Xiaoke's birthday. He also bought the latest fruit phone as a fourteenth birthday gift for her, so that she could replace the old phone that had been used for four years.

Qin Xiaoke also gave Qin Ke his birthday gift in advance that day.

This is a brand-name belt. Qin Ke checked online and found that it cost more than three thousand...

Qin Ke's whole body, except for the watch Qin Xiaoke gave him last year, totaled less than five hundred yuan. Now a belt cost more than six times the total price of his clothes, shoes and socks.

Qin Ke originally wanted to "educate" Qin Xiaoke not to spend money frivolously, but after careful observation, Qin Xiaoke really didn't spend money frivolously. He clearly had 40,000 yuan in royalties. In addition to buying some books for learning painting,

Apart from two skirts and a belt as a birthday gift for this old man, he didn't even buy many comic books or game discs, let alone a new mobile phone.

Qin Ke could only rub her hair with pity towards this sister who had become more sensible, and was reluctant to say any harsh words.

…

Thanks to Qin Xiaoke, Qin Ke suddenly remembered that his birthday was coming, and he was thinking about it very much - after all, he had a beautiful and lovely girlfriend this year.

Even the careless Qin Xiaoke remembered to prepare a birthday gift for him, let alone the attentive Ning Qingyun.

Last year, when the two were just ordinary friends, Ning Qingyun bought a couple scarf for herself. What about this year? What surprises will there be?

To be honest, Qin Ke is still looking forward to it.

Especially on the afternoon of December 23rd (Friday), when Ning Qingyun suddenly said that he wanted to ask the school for a day off tomorrow, and that he would start asking for leave from the evening of the 23rd, Qin Ke couldn't hide his excitement.

Could it be...are there any additional benefits provided?

Although considering Ning Qingyun's shy character, it is unlikely that she will provide benefits, but what if it happens? After all, this is her birthday... anything is possible!

Qin Ke is full of expectations.

As a result... on the evening of the 23rd, Ning Qingyun took him home, had dinner with her grandma Chu Mimei, and then sent him out.

Qin Ke: "???"

That’s it? Where are the benefits?

Qin Ke was disappointed, but still wanted to try hard: "Jun'er, do you want to go back to Greenuiyingju with me to study tonight? I think your IChO knowledge needs to be consolidated."

Ning Qingyun blushed, as if she could see his bad thoughts: "I want to take a rest tonight, and it won't be too late to start the special training for the chemistry competition during the day tomorrow."

Probably feeling a little apologetic, Ning Qingyun shyly kissed Qin Ke outside her home for the first time, and then pushed him outside: "It's getting dark, and the wind is blowing again. I don't know at night.

If it’s going to snow, please go back to Lvcuiyingju as soon as possible. Let me know when you arrive and we’ll contact you via WeChat.”

Qin Ke turned around three times in one step and saw Ning Qingyun just standing outside the door, smiling and waving to him, showing no intention of changing her mind.

Qin Ke reluctantly gave up. Under the current circumstances, there was probably little use in pretending to be pitiful. After all, grandma was at home. How could Ning Qingyun stay in Lucuiying Juli for one night?

Look at the sky, it's a bit gloomy, the north wind is whistling by, making the light from the street lamps sway, and there are even fewer pedestrians on the road.

I hope it won't snow. I want to take Xiao Baicai out to play tomorrow.

Qin Ke hurriedly returned to Lvcuiyingju through the night, and told Ning Qingyun through WeChat. Ning Qingyun replied: "Then you have a good rest, I will accompany grandma to watch Peking Opera."

Huh? Something's wrong. Even if you watch Peking Opera with grandma, it doesn't prevent you from sending me WeChat messages. What's going on with this attitude of forcibly interrupting the topic?

Qin Ke had neither clairvoyance nor a telescope, so he couldn't see what his girlfriend was doing at home. He could only guess what Ning Qingyun was planning out of thin air.

It’s mysterious. Could it be related to my birthday gift?

The more Qin Ke thought about it, the more likely it seemed, but since Xiao Baicai wanted to surprise him, there was no need for him to make blind guesses and just wait for the surprise.

Qin Ke gathered his thoughts, hummed a children's song and finished cleaning, then lay down comfortably on the sofa.

He planned to give himself a day off today and tomorrow, and put aside the Lime operating system for the time being. After all, it was now optimized to the point of being optimized. If he hadn't asked Principal Wen Jianzhao to help with the copyright registration of the software copyright, he would have released it now.

It's not impossible.

Just watch your favorite math tonight to relieve your boredom.

Qin Ke took out Shi Cunyuan's old mathematics notebook for studying the Riemann Hypothesis from his schoolbag and read it carefully with relish.

This is not the first time he has read this mathematics notebook, and he has new experiences every time he reads it carefully.

Speaking of the Riemann Hypothesis, I believe people who like mathematics will be familiar with it. Even though it is not as famous as the famous Goldbach's Hypothesis, in fact its status in mathematics is higher than Goldbach's Hypothesis.

This is a mathematical conjecture about prime numbers.

The so-called prime number, also called a prime number, refers to a number that is not divisible by other natural numbers except 1 and itself among the natural numbers greater than 1, such as 2, 3, 5, 7, 11, 13...

After the concept of prime numbers was born, the mathematical community believed for a long time that there were no simple rules to follow for the distribution of all prime numbers, and some even asserted that prime numbers were irregular.

It was not until more than 160 years ago that the great German mathematician Bornhard Riemann proposed the famous "Riemann Hypothesis" in an eight-page paper on the distribution of prime numbers: the frequency of prime numbers appears and Riemann's

The ζ (pronounced zeta) function is closely related, and all prime numbers can be expressed by this zeta function according to certain rules.

Described in mathematical language, it is: "The real part of the non-trivial zero point of the Riemann zeta function ζ(s) (in this case, it means that s is not a value of -2, -4, -6, etc.) is 1

/2. That is, all non-trivial zero points should be located on the straight line 1/2

On ti ("critical line"), t is a real number, and i is the basic unit of imaginary numbers."

This is the Riemann Hypothesis, also known as the Riemann Hypothesis. So far, no one in the world has proven that this conjecture is true, but it does not prevent it from being applied to many mathematical fields on the premise that it is true.

For example, function theory, analytic number theory, and many problems in algebraic number theory rely on the Riemann Hypothesis.

According to statistics, in the academic literature of modern mathematics, there are more than 1,000 mathematical propositions based on the establishment of the Riemann Hypothesis (or its generalized form). If the Riemann Hypothesis is proved, these more than 1,000 mathematical propositions will automatically be upgraded.

is a theorem; conversely, if the Riemann Hypothesis is disproven, then at least half of the more than 1,000 mathematical propositions will be invalid.

Because of its importance in mathematical theory, Clay Mathematics Research in the United States did not hesitate to list it as one of the world's seven major mathematical problems with a reward. Whoever proves the Riemann Hypothesis will receive a reward of 1 million US dollars.

Bounty.

If you want to prove the Riemann Hypothesis, you must first understand its core Riemann ζ function: ζ(s)=Σn^-1(re(s)>1).

Shi Cunyuan had the complete translation of the eight-page Riemann prime number paper in his notebook, and also had a deep understanding of the Riemann function. Then he chose several directions to launch a general attack on the Riemann hypothesis, including the development of the Riemann zeta function.

Zero point distribution assumption.

With Qin Ke's semi-professional-level mathematics level at this time, it was a bit difficult to read Shi Cunyuan's mathematical notes. This shows how in-depth Shi Cunyuan's research on the Riemann Hypothesis was at that time.

Someone once said that mathematics is like a very arrogant goddess. She will favor you not because of your efforts and sincerity. The most likely thing is that you exhaust your energy and end up with nothing, even her little hands.

Didn't come across it.

Such is the case with Shi Cunyuan.

In the end, Shi Cunyuan discovered that all of his directions were wrong, and he wasted several years of his youth. Then he realized that he knew that manpower is limited and talent is limited. Even if he is extremely poor, he will not be able to solve such world mathematics problems.

So he gave up on this world-class problem and eventually turned to teaching and educating people, passing on the legacy.

Now his research results, which he had studied on the wrong path for several years, have been handed over to Qin Ke. Qin Ke must first fully understand it and understand where its mistakes are before he can find the right direction.

Of course, Qin Ke is still self-aware. With his professional level of mathematics, it is unlikely that he can prove the Riemann Hypothesis. Only when he reaches the master level or even the grandmaster level can he be more confident. After all, mathematicians in history

, efforts that lasted for centuries have failed to achieve satisfactory results.

But this does not prevent Qin Ke from conducting in-depth research on this and writing a paper with extremely academic depth.

After being immersed in the world of mathematics for two full hours, Qin Ke finally understood one-tenth of the entire notebook.

"In this Chinese translation of Riemann's prime number paper, I wonder if there is any mistranslation of Riemann's ideas?" Qin Ke stretched and sat up.

If you want to truly understand the original author's thinking, the best thing is to read the original version. Unfortunately, he doesn't understand German, so reading the original version is useless.

I don’t know if other language subjects will be opened up after the systematic English subject is promoted to the top "8-level junior high school"? For example, German, French, Spanish, etc. After all, scientists come from all over the world, and anyone who writes about them

Translation will have a certain degree of distortion.

Qin Ke took out his mobile phone and looked at WeChat while muttering, but Ning Qingyun hadn't contacted him yet.

Qin Ke became more and more convinced that this girl was busy with something, and it must be related to his birthday, which made Qin Ke look forward to tomorrow even more.

After lying there for so long, his body became hard. Qin Ke pushed open the sliding glass door of the hall and came to the balcony. The cold north wind blew in, which refreshed his spirit.

The space on the balcony is not large, but it is more than enough for a set of Wing Chun. After all, it is a small and agile skill.

So Qin Ke immediately decided to do a set of Wing Chun to stretch his body and activate his qi and blood.

Qin Ke had previously learned his family's Wing Chun from his classmate Xiang Qi, but the Wing Chun that the system passed down to him was somewhat different from it, probably because of different branches, and Qin Ke had not studied it either.

For him, playing Wing Chun is more interesting than playing Tai Chi, and that is enough.

After finishing the small idea, Xunqiao, Biaozhi, and wooden dummy techniques smoothly, Qin Ke was sweating slightly and felt comfortable all over. In fact, the professional-level Wing Chun that the system passed to him also included the six-and-a-half-point stick technique and the butterfly double.

Knife, but he didn't have any weapons, and there was no need for such long sticks and double-edged swords in this society, so he didn't practice.

Anyway, it is a system product that will never be forgotten. Even if he does not practice for ten or twenty years, he can still perform it skillfully when needed.

After practicing boxing again, Qin Ke, who was sweating all over, went to take a shower, then went back to bed and lay down. The time hand was about to point to midnight.

Just after midnight, the WeChat message finally rang.

The little green bamboo will grow taller: "Qin Xiaoke, I wish you a happy birthday!"

It was a very simple sentence, but it was sent on time at 00:00. It was obvious that the girl had been stuck in time.
Chapter completed!