Chapter 422 Don't panic, there's no hope
Boston.

It was December, and it was only 6:30 in the evening, but night had already fallen outside the window.

"time to eat."

Xu Qingzhou came out of the kitchen carrying pork rib soup and shouted to the girl in pink pajamas sitting on the sofa.

"Oh, I'm here." Song Yao was lying on the sofa and reporting safety to her family. When she heard Xu Qingzhou's words, she slipped on her slippers and went to help serve the dishes.

Three dishes and one soup.

Both of them were very tired and swept away all the food on the table like whirlwind. Even Song Yao finished two large bowls of rice.

"Whoo~"

After Xu Qingzhou finished eating, he leaned back in his chair and let out a long sigh. After eating and drinking his fill, he finally regained some energy.

He looked at the girl opposite him who was drinking soup from the bowl, and sighed in his heart, boys and girls are really different.

Song Yao had just taken a shower before dinner. Her hair was casually draped over her shoulders, and her fair skin was rosy.

She sipped the soup. It was clearly just an ordinary bowl of pork rib soup, but she drank it with a sense of ritual.

A pair of beautiful eyes are clear and transparent, and the slightly curled eyelashes are clearly visible.

“So full~”

Song Yao touched her belly and said contentedly. In a foreign country, she was so busy studying that she had forgotten about losing weight and went out to eat delicious food with Kelly every day.

"Would you like some more?" Xu Qingzhou asked with a smile.

"No more."

Song Yao shook her head and touched her waist. She felt like she had gained weight and thought she had to find time to buy a scale.

After dinner, Song Yao took the initiative to take on the task of washing the dishes, allowing Xu Qingzhou, who had been working hard, to have a good rest.

After Xu Qingzhou poured cat food for Er Miao, he was attracted by Song Yao in the kitchen. He leaned against the kitchen door frame and watched her clean up the dishes. Although the pajamas were a bit thick in winter, they still couldn't hide the curvy figure of Song Yao.

They say you can't pat a tiger's butt.
Xu Qingzhou suddenly wanted to try it, and involuntarily reached out and pinched it.

"Xu Qingzhou!"

Song Yao turned her head and glared at him.

"It's Xu Qingzhou again now. He was calling me Teacher Xu just now."

Xu Qingzhou teased.

"You wait." Song Yao gritted her teeth.

"He's even threatening me. This is the so-called denial of recognition when you pull up your pants."

Someone with a bad mouth was kicked out of the kitchen.

After attending an academic exchange meeting, Song Yao became busier than before.

Like Xu Qingzhou, he does analysis of Riemann functions.

I did have other experiences.

I feel that mathematics is like physics. The more you come into contact with it, the more you realize how powerful it is. I feel that the big guys in the past were really awesome.

Calculation of the zero points of the Riemann function. Riemann once calculated several zero points by hand.

Even with the development of computers today, numerical calculations are still difficult. For example, in the approximate formula for calculating the zeta function derived by Riemann-Siegel, the derivative must be calculated up to the 12th order.

Kyoto.

As soon as Chu Jiangfeng entered the study, he received a call from Gu Zhizhong.

"Old Gu, take a look at what I sent you."

"You old man, you're already in your 50s or 60s, and you're still so excited. What the hell!"

Cambridge.

Naris Doncic was sipping his morning tea and browsing the arXiv website out of boredom.

To read papers on arXiv is like panning for gold in rubbish. It is difficult to find a good paper except by looking directly for a mathematician's homepage.

Quite a number of people come up with an idea on the spur of the moment, and after finishing it, they find that it is like a piece of shit, but not completely shit, it is just stupid enough. It cannot be published in a journal, and it would be a pity to throw it away. In the end, they just post it on arXiv to get citations, and at the same time, they can cause trouble for their colleagues working in the same direction, or they can be regarded as setting up a trap.

"A brief proof of the Riemann hypothesis. Rubbish"

"Try to use algebra and other basic mathematical knowledge to solve the Riemann hypothesis? Haha."

"Dirichlet's L-function"

"Proof of the Landau-Siegel zero-point conjecture. Wait."

Naris wanted to skip it, but he caught sight of the author of the paper out of the corner of his eye: "The author is Qingzhou Xu, the one I know?"

Naris was stunned for a moment, then clicked on the paper with doubt. As time passed, his expression gradually became serious.

At noon, he came back to his senses from hunger, but he was not in a hurry to eat. Instead, he picked up his phone and called his friend, "Hey~ Naris, you just woke up now, were you drained by the girl last night?"

The friend asked with a smile.

Naris took a deep breath, his voice trembling slightly, "Landau-Siegel Zero-Point Conjecture is likely to be proved!"

"Naris, this joke is not funny. You know, I am working on this topic. Where did you read the paper?"

There was already the sound of someone getting dressed on the other end of the phone, as if he was a little panicked.

“arXiv.”

"arXiv? Hahahaha, let alone the Landau-Siegel zero, aren't there several proofs of the Riemann hypothesis every month?"

On the other end of the phone, my friend seemed relieved.

"The author of the paper is Xu Qingzhou."

"."

The other party fell silent, and after a while he said, "Give me a link."

Well, don't panic, it's too late.

University of California, Santa Barbara.

study.

The middle-aged man with a Xia nationality stared at the computer screen with a solemn expression. When he saw the fourth real number sequence introduced by Xu Qingzhou, he couldn't help but sigh, "The young are formidable, the young are formidable."

This person, of course, is the mathematician Zhang Yitang.

His and Xu Qingzhou's proof ideas are similar, both of them thought of inequalities.

But the young man's proof was simpler and produced more powerful results.

He took a deep breath.

Zhang Yitang: "For number theorists, there are two universes. In the first universe, there is no Landau-Siegel zero, but in the second universe, there is such a zero. Today, a young man has led us to find the direction."

The outside world is very lively, and everyone is discussing and studying Xu Qingzhou's paper.

Even Xu Qingzhou's side became lively.

First, he received calls from several teachers in Kyoto, and then received invitations to submit papers via email from mathematics journals such as Annals of Mathematics and New Advances in Mathematics. The editor of Mathematical Inventions, a journal he frequently submitted papers to, even called him personally.

I was relieved when I learned that Xu Qingzhou simply didn't have time to revise the paper and didn't have any opinions about their journal.

In the following days, Xu Qingzhou basically stayed indoors and put aside the paper revision comments from arXiv for the time being.

There are no logical errors, at most some formulas can be simplified a little.

His focus now is entirely on advancing the Riemann hypothesis.

After more than half a month of hard work, Xu Qingzhou derived the first dragon-slaying skill. He used a function called ξ(z), which introduced the zero-point density estimate, that is, giving a non-trivial upper bound for N(σ, T).

In the calculation, we first need to separate the real and imaginary parts of the Riemann function, so as to find a way to make ξ(z) a single variable real-valued function, so as to study the distribution of extraordinary zeros.

Xu Qingzhou was busy calculating at the desk when he saw Song Yao walk in with a cardboard box. "What did you buy?"

"Weight scale." Song Yao opened the box with a utility knife.

Xu Qingzhou nodded. He had it at home before, but left it in Yan Dongyuan and didn't bring it here. Seeing that Song Yao was still unpacking the box, he was not in a hurry and lowered his head to continue the calculation.

【ξ(1/2+z)=∫0∞G(t)cosh(zt)dt=u(x,y)+iv(x,y)】

Lemma 9.2: Assume that Pf(n)ns converges absolutely for σ>σa. If f is a multiplicative function, then ∑∞n=1f(n)n^s=s+f(p2)p2s+
After finishing the formula in a few strokes, Xu Qingzhou stopped writing, only to find that the living room was eerily quiet, and Song Yao was staring at the scale under her feet.

"are you OK?"

Xu Qingzhou walked over and saw that School Beauty Song looked like she was deeply shocked.

"I gained three pounds" Song Yao felt hopeless.

Xu Qingzhou glanced at the scale and saw 98 kilograms.

He smiled and consoled her: "This is the only way to be healthy. You are 166cm tall and only 98kg, which is considered light."

"I'm 168."

Song Yao corrected him with a glare, paused, and added: "Even without shoes, he is 168."

Three years ago, I did misreport a little bit.

Xu Qingzhou scanned Song Yao from head to toe and nodded slightly, "Yes, it's bigger than before."

"Ok?"

"I've grown a lot taller."

Song Yao rolled her eyes at Xu Qingzhou, took the vegetables she bought that afternoon and went into the kitchen. After a moment, she poked her head out again and said, "From today on, I will stop drinking milk tea and midnight snacks, and I will never overeat. Xu Qingzhou, you supervise me."

She was determined to lose weight.

I only weigh two or three pounds, so there's no need to treat yourself badly with breakfast and dinner. I go running every week anyway, so I should be able to lose the weight.

Xu Qingzhou understands girls’ obsession with weight. It’s okay to control their diet as long as they don’t go on a hunger strike.

He said, "That's good, but both Kyoto University and MIT have some bonuses. I originally planned to take you out for a big meal, to the United Oyster House you mentioned last time. The seats have been reserved. Now..."

The Union Oyster House is a landmark building in Boston and can be said to be one of the oldest restaurants in the United States that has been continuously operating since its opening. The building where it is located has a history of more than 1826 years since 300.

Interesting.

The two of them had said they wanted to go and have a look before, but they never had the time.

Peking University gave a bonus of 20 yuan, and MIT gave 5 US dollars. It was a huge sum of money, just enough for me to have a good meal.

Song Yao was washing vegetables. She was conflicted when she heard this, but she still chose the delicious food: "Then we'll lose weight after we finish eating."

Xu Qingzhou couldn't help but feel happy. He had just vowed to lose weight, but this girl was able to let go of it easily.

Song Yao poked her head out again, looked at Xu Qingzhou on the sofa, and said unhappily, "What are you laughing at? Come and peel the garlic."

"okay."

12 month 25 day.

Outside the window, heavy snow is falling, but it still can't cover the brilliant lights in the distance. Today is Christmas, and the whole city is bustling with colorful lights hanging along the Charles River and crowded with tourists.

In the living room, next to Er Miao’s nest is a small Christmas tree bought by School Beauty Song.

Xu Qingzhou and Song Yao followed the local customs and had a small celebration with roasted turkey and smoked ham, which was quite ceremonial.

The two of them also drank half a bottle of red wine.

When Xu Qingzhou came out after washing the dishes, School Beauty Song was hugging a pillow, typing and chatting with Ding Jiahui.

Guo Ziyang and Ding Jiahui had planned to travel to the United States a few months ago, but plans can never keep up with changes. They both had to go to the company for internships and write graduation thesis. They were busy like dogs every day and didn't even have a vacation, let alone traveling abroad.

He habitually went over and pulled Song Yao's long legs.

Xu Qingzhou pinched her a few times and couldn't help but suggest: "You should wear stockings tonight."

"No."

Song Yao refused without even raising her head.

"Today is a special day, suitable for wearing stockings, how about the white one?"

Song Yao was too lazy to pay attention to this pervert.

Xu Qingzhou was still not giving up. "Just wear it. Maybe when you wake up tomorrow morning, there will be a lot more gifts in your socks."

Song Yao paused while typing, looked up, and looked at him as if he was a fool again.

She didn't know if there were any gifts, but she was sure that there would be some dirt on it after wearing it.

"You think this is a bad excuse? I can change it. You're going on a business trip again soon, so you should take advantage of the time you're at home, right?"

Song Yao has a rare 8-day vacation, and she needs to go to Wall Street with Professor Morton. Currently, Professor Morton is employed as a risk strategy analysis expert at the famous financial company Morgan Stanley.

"The business trip will be in ten days."

Song Yao curled her lips.

Xu Qingzhou's eyes lit up, "You mean, we can wait until then?"

"Can't!"

Xu Qingzhou shrugged, not in a hurry. After all, there was still the New Year's Eve to come and he still had half a bottle of red wine.

Alcohol makes cowards brave, then just wait and see how she escapes.

Song Yao chatted with Ding Jiahui for a while, then pulled out a stack of information from the side. Before reading, she reached out and pulled Xu Qingzhou over, smacked him, and hooked his chin, "Teacher Xu, just wait for me to support you in the future."

"awesome."

Xu Qingzhou echoed and praised the school beauty Song's lofty ideals.

He stared at the ceiling and thought about the Riemann hypothesis.

This thing requires a wide range of mathematical tools, starting from the limit problems of mathematical analysis, to integration, differentiation, series, etc., to complex functions, to functional analysis, numerical calculation, integral transformation and so on.

Fortunately, he has a wide range of interests.
In addition to his direct proof method, there were other ways in the previous hundred years.

Since it is very difficult to directly prove the Riemann hypothesis, some mathematicians chose another way. Outside the straight line where the real part is equal to 1/2, the zeta function has very few non-trivial zeros - so rare that there are only N at most.

This means that when N here is reduced to 0, the Riemann hypothesis is proved.

But unfortunately, this is also a road of no return.

During the Christmas holidays, the two of them stayed at home for two days and then got busy with their own things. One of them was immersed in complicated calculations like a possessed person, while the other one was reading Morgan Stanley's company information every day.

Four days later, along the Charles River, the two young men were walking leisurely. They had been bored at home for many days, so seeing that the weather was good, they decided to go out for some exercise.

"Just something for dinner?"

Xu Qingzhou smelled the aroma of fried snacks and said as he looked at the mobile truck selling snacks in the distance.

"I want to lose weight." Song Yao was firm.

"You really don't want to eat?"

"Don't eat."

"Teacher Song, you are very good now. No, in my opinion, you are perfect. You really don't need to create anxiety for yourself."

Song Yao remained unmoved.

"Besides, you have been dieting for four days from the 26th to now. Can't you indulge yourself for a day occasionally?" Xu Qingzhou continued.

Song Yao raised her eyebrows and glanced in the direction of the snack cart. She was a little tempted, but when she thought about the big meal she had on Christmas Day, she quickly looked away.

Keep your mouth closed and take your legs away.

"Take a step back, you ran 9 kilometers today"

"Xu Qingzhou!"

"Well, I won't say anything."

(End of this chapter)

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