Chapter 419: Your mother-in-law-daughter-in-law relationship is not normal

Living room.

Xu Qingzhou occupied the position Song Yao often lay in, leaning lazily on the sofa, looking at the comments of netizens on Weibo, and couldn't help laughing lightly.

Showing off?

It sounds like I really like showing off.

Xu Qingzhou covered his phone back, wait a few months, and he would definitely give these people a big one. He laughed, slept on the sofa for half an hour, got up and went to the desk to continue the calculation.

Song Yao went shopping with Kaier, he, a big boy, wouldn't participate.

Just right, the research on the Landau-Siegel zero point problem is at a critical moment.

Now, he has currently constructed a finite real number sequence xn, and proved that this real number sequence is not non-negative, that is, at least one number is less than 0.

Real number sequences are the key to solving the zero point problem.

In order to get the zero point problem done, during this period of time, he searched like a needle in a haystack, and didn't find this needle. But in this process, he figured out the topography of the seabed, and finally found that he didn't need this needle to achieve his goal.

Just add the real number sequence directly.

"Within the range of the non-zero domain, the exponent of the last term is -1. When the characteristic is a complex characteristic, its l-function has a non-zero region similar to the Riemann z-function..."

Xu Qingzhou's thoughts spread, and with the sound of rustling writing, rows of complex calculations appeared on the manuscript.

"That is to say, here it is necessary to prove that the real primitive characteristic l-function of mod d is actually within this..."

【(1-c(logd)^-2014), 1】

Counting it up, Xu Qingzhou's proof this time has the same effect as Zhang Yitang's proof of the Twin Prime Conjecture.

Both adopted a gradual approach.

Zhang Yitang set the difference at 70 million, and mathematicians used his method to reduce this number to 246.

Xu Qingzhou has currently been able to reduce the value to 2014, that is to say, now as long as the 2014 above is replaced with 1, the Landau-Siegel zero point problem can be solved.

The xn sequence, no matter how you look at it, cannot completely solve the lower bound estimation of the l-function at point 1. Following the large sieve idea, he plans to introduce two more ξn sequences and yn sequences to supplement the first sequence.

"This time, it seems there really is no problem."

Xu Qingzhou looked at the plan on the manuscript and nodded with satisfaction. If there are no accidents, the zero point problem can be solved in November.

The next step is to start working on the Riemann Hypothesis itself.

To put it popularly, this set of real number sequences is like a series of markers on a treasure map. Each point hides some information about the location of the treasure. However, this information is not told to you directly, but requires you to interpret it through a series of complex calculations and reasoning.

The first thing you notice is the first sequence, which is like the main path on the treasure map. You move along this path, hoping to find clues to the treasure. However, this path is not always clear; sometimes it leads you to a dead end, and sometimes it makes you lose your direction in the fog.

In order to solve this mystery, you found another set of sequences, which is like an auxiliary clue on the treasure map. These clues sometimes intersect with the main path, and sometimes extend into the unknown alone. By carefully studying these auxiliary clues, you begin to gradually understand the true meaning of the main path.

Finally, you found a set of key sequences (yn sequence), which is like the last key on the treasure map.

Three sequences done.

Time passed slowly, outside the window, the direction of the sunlight gradually moved west, until the golden light covered the earth.

At 5:30 PM, Song Yao came back carrying a shopping bag.

"You went shopping for a day, just two scarves?"

"What do you know, shopping is about the process, not necessarily buying things..."

Song Yao glanced at Xu Qingzhou at the desk. She originally wanted to take off her socks and wear slippers, but hesitated and didn't take off her white socks, "Hurry up and try it, didn't you say you were resting?"

"Isn't this abandoned by my girlfriend, can only do some calculations to pass the time."

Saying that, Xu Qingzhou walked over. Two scarves, Song Yao's is red, his is gray and black, better to match with that black coat.

"I called you, it was you who didn't go."

Song Yao curled her lips, this guy is shifting the blame to her again, clearly he couldn't let go of those math formulas.

Xu Qingzhou tried the scarf, it was very comfortable, and the style was not bad. The school beauty Song's aesthetics really never went wrong.

"Remember to take it to dry cleaning tomorrow."

"Okay."

Xu Qingzhou nodded, took the scarf back to the bedroom, went out, and saw Song Yao already lying down, her white-socked feet swinging on the sofa, feeling that this girl was fishing.

He walked over, sat in front of Song Yao's feet, and pulled the two slender feet into his arms, "Are you seducing me?"

"Who seduced you."

Song Yao spat, and would not admit that she was tempting Xu Qingzhou. This guy had already calculated for a day, she was worried he would become one of those bald people in the math department at school.

The school beauty Song's mind appeared Xu Qingzhou bald, and she suddenly felt a chill, that was too terrible.

"Face closer."

"Hmm?"

Xu Qingzhou moved his head closer to Song Yao. In the puzzled gaze, Song Yao stroked his head a few times, "Still better now."

"."

"What are you doing?"

Song Yao didn't answer, leaned back, pulled the pillow on the side and hugged it, "You like this, making me look idle, too degenerate."

"Is this the reason you seduce me?" Xu Qingzhou felt strange, pinched the white socks.

"Reward... hmm... don't you like the original flavor?"

Song Yao said.

"."

November 12th, Xu Zhengyang signed up on the last day of postgraduate entrance exam registration, planning to take the exam to try.

The lives of other acquaintances were also quite good.

Guo Ziyang was interning at an it company, introduced by one of his teachers, and seemed to be quite valued. The company seemed to have the intention of keeping him.

Guo Ziyang asked for his advice.

Xu Qingzhou let this guy choose for himself.

In his previous life, Guo Ziyang stayed in another company, and after graduation, he stayed in the company for a few years, accumulated some funds, and then came out to start his own company.

However, now everyone's life trajectory has undergone earth-shaking changes, and Xu Qingzhou can't estimate how this guy will choose.

On Xu Qingzhou's side, the subsequent calculations were quite smooth. On November 28th, he proved the Landau-Siegel problem, that is, the Landau-Siegel zero point does not exist.

Everything fell into place.

Because he was already confident, Xu Qingzhou didn't have much excitement, tidied up all the manuscripts, and entered the next calculation, entering the research of the Riemann Hypothesis.

The non-existence of the Landau-Siegel zero point means the correctness of the Riemann Hypothesis.

Of course, in the case of the Riemann Hypothesis being true, everyone has already deduced thousands of propositions, and these propositions are all correct, which actually explains to a certain extent that the Riemann Hypothesis has no problems.

Although this didn't directly let Xu Qingzhou solve the Riemann Hypothesis, it gave him a deeper understanding of the conjecture itself.

Just like looking back now, one can understand why the todd function introduced by Sir Atiyah, and the two methods he used earlier on the basis of Sir Atiyah, using the reich metric, hoping to prove the boundedness of the Riemann function, didn't work.

November 30th, the last day of November.

Ding~ Ding~ Ding~

Living room, Xu Qingzhou came out with washed fruit, and just came out, he heard a series of message prompts from Song Yao's phone.

He walked over and found it was a group of six people.

Three days ago, the four people in Chengdu agreed to go to Jiuzhaigou for tourism together, and would send some photos from time to time.

Wang Xiaping also took this opportunity to build a group and pull all six people into it.

In the photo, behind is the snow scene of Jiuzhaigou, Xu Shouyun and Song Shisong stood on both sides, Wang Xiaping and Zhang Junli stood in the c position, and the four middle-aged people were smiling.

After Song Yao finished chatting with her mother, she clicked on Wang Xiaping's chat box. The content was nothing more than those, what to pay attention to keeping warm in cold weather, it's snowing, pay attention to anti-slip, etc.

Wang Xiaping: "Xiao Yao, you are still the most thoughtful, look at Qingzhou, completely a careless person."

Xu Qingzhou sighed for a while, chatting, Ms. Wang had to step on him.

He looked at the chat between the two and muttered: "Your mother-in-law-daughter-in-law relationship is not normal."

"Then what should it be like?"

Song Yao was typing, and asked without raising her head.

"Incompatible personalities, constant quarrels, intrigue..."

Bang~

Song Yao gave her boyfriend a headbutt and said angrily: "Those dog-blood TV dramas are fake."

Paused, she added in a low voice: "How can it be mother-in-law."

Xu Qingzhou rubbed his chest that was hit. He found the girlfriend, no matter how violent she is, he has to bear it. Seeing Song Yao chatting with Ding Jiahui, he said: "Guo Ziyang and Ding Jiahui are quarreling again."

"Hmm, Jiahui said Guo Ziyang stood her up several times."

"Is this guy that busy?" Xu Qingzhou hated that iron was not steel.

Guo Ziyang didn't excuse himself, saying it was about the same as Ding Jiahui's side.

During this period of time, he had to be busy with internship work and graduation thesis, which led to not balancing the time well, and could only break the appointment, ignoring the feelings of Ding Jiahui's side.

"This guy actually asked me what to do."

"What did you say?"

"Apologize with a thorn on the back."

Xu Qingzhou shrugged: "We don't quarrel, this kind of thing, I have no experience."

Guo Ziyang was surprised why Xu Qingzhou and Song Yao never quarreled once, felt there must be experience, so he ran over to ask again.

Xu Qingzhou of course wouldn't say that he was often beaten, otherwise where would his face go.

"Hmph, isn't this thanks to you having a girlfriend who doesn't hold grudges." Song Yao lowered her eyes and glanced at the hand under her clothes.

Xu Qingzhou didn't refute, he had already finished his revenge on the spot, of course he wouldn't hold a grudge.

He looked at the time and sniffed at Song Yao's neck, "Is it time to sleep?"

The hot air exhaled by Xu Qingzhou fell on the skin, making Song Yao suddenly get goosebumps, slightly moved, but looking at the news popped up by her sister Ding Jiahui, she restrained herself.

Can't value sex over friends.

Jiahui is sad now.

She said: "I don't want to sleep yet."

Xu Qingzhou was unwilling to give up, pinched the soft flesh with his hand, and one hand gradually moved down.

Song Yao moved uneasily, if this continues, something will happen, so she took a deep breath, turned to look at Xu Qingzhou, and said seriously: "Xu Qingzhou, I'm not feeling well today, having my period."

She underestimated her boyfriend's thick skin, only seeing Xu Qingzhou's eyes light up, and whispered two words in her ear.

"."

"Ah~"

Xu Qingzhou's scream rang in the living room.

Xu Qingzhou covered his waist, muttering resentfully, "If you don't want to, you don't want to, why do you do it."

Song Yao stared.

"Okay, okay, I'll go warm the bed first."

Xu Qingzhou sighed, turned and returned to the bedroom, also guessing that Song Yao probably wanted to comfort Ding Jiahui.

"This couple, they only know how to quarrel all day, what is there that can't be solved by fighting."

"What are you muttering about?"

"Nothing, right..."

Before returning to the bedroom, Xu Qingzhou stopped, and suddenly thought of a serious matter.

"What?"

Xu Qingzhou looked at Song Yao and said sincerely: "Actually, I can really help you."

"."

Dead silence in the air.

There is murderous intent!

Xu Qingzhou secretly said not good, "That... I'll go to sleep first."

"Don't rush, let's chat before sleeping."

Song Yao put down her phone expressionlessly and pinched her fist.

"Don't, you go do your business first..." Xu Qingzhou hurriedly flashed, this living room can't stay.

"Stand there!"

Song Yao chased into the bedroom.

Creak~

The sound of the bed in the bedroom made the two cats move their ears.

"Meow~"

The two cats raised their heads, accustomed to this scene, took elegant steps, continued to patrol their territory, and the two-legged beasts started again.

"Wrong, wrong."

Xu Qingzhou was begging for mercy.

"Admitting mistakes is useful, what do you need the police for! Xu Qingzhou, you still dare to take off your clothes!"

"Eh~ why did your clothes fall off by themselves."

By December, Boston had completely entered winter.

"Phew~"

Xu Qingzhou stretched, his gaze passed through the leaves and fell to the distant Charles River bank,

After a night of rain last night, most of the maple leaves fell, the ground was covered with fiery red leaves, in the sunset, several tourists were walking leisurely, and further away, a group of Canadian geese were foraging in the withered grass.

Xu Qingzhou looked back at the living room.

The bag at the door contained the instant noodles he ate in the middle of the night...

Been forgetting to eat and sleep for four days.

A little messy.

A little better than before, like this continuous retreat at home for four or five days, besides being messy, there is also a heavy smell of smoke.

"The school beauty Song will be back tomorrow morning."

Xu Qingzhou thought about cleaning the house at night, so as not to be cleaned up.

These four days, Xu Qingzhou only went out twice, to buy daily necessities and take out the trash, which can be considered completely immersed in the calculation of the Riemann Hypothesis.

So far, the dragon-slaying technique has not been used.

He plans to use the most primitive method, using the techniques and properties of complex analysis, to dissect the characteristics and properties of the Riemann z-function first.

Although this method looks a bit stupid, it might be useful, just like the Landau-Siegel zero point problem solved earlier, looking for a needle in a haystack.

Even if you can't find this needle in the end, you can figure out the topography of the seabed.

The Riemann z-function itself is a complex function.

Thanks to the research on complex functions some time ago, this progress is quite gratifying.

In the calculation, he introduced two very special functions, the gamma function and the beta function. The former helps to simplify the calculation process of complex integrals, thereby helping to understand the spectral characteristics of the Riemann z-function, and the latter can supplement the former.

(End of chapter) ===== CHAPTER 420 =====