Chapter 431: The Riemann-Siegel Formula

February 22nd.

After spending the New Year at home, the two young people boarded the plane to the United States under the reluctant gaze of their families.

After adjusting to the jet lag, they both started to get busy with their own work.

Song Yao was assisting Professor Morton in conducting a policy penetration analysis for MiracleLife Company, establishing a policy response model to quantify the impact of tightening regulations or subsidy withdrawals on revenue, which was the measurement of the impact of DRG/DIP payment reform on the profit margins of medical product lines.

Besides this, Song Yao also started preparing to write her second paper.

*Real Option Pricing for Biomedical R&D Projects: Based on Bayesian-Monte Carlo Simulation of MiracleLife Company's mRNA Vaccine Production Line. *

She planned to combine the traditional DCF model with real option theory to quantify the impact of R&D failure risk on project value.

As for Xu Qingzhou, he spent 9 days on the convergence and error estimation of the z(t) formula and was currently trying to calculate the upper bound of the distribution of non-trivial zeros of the Riemann z-function through Dirichlet polynomials.

However, it was a bit difficult.

On the third day after returning, Xu Qingzhou went to Professor Roberts' side once.

"Xu, Happy New Year."

Horn greeted him in broken Chinese.

"Happy New Year." Xu Qingzhou was very gratified; this guy finally called his name correctly.

"Come, taste the new coffee I made, Ethiopian beans. In order not to let high-temperature roasting destroy the flavor substances in the beans, I adopted medium-light roasting, no bitterness precipitated..."

Professor Roberts said: "We just encountered a difficult problem; I don't know if you're interested in researching it together."

"Of course."

Xu Qingzhou nodded. Before coming, he had thought about seeing how far Professor Roberts and the others had researched. Moreover, he quite liked this feeling of everyone brainstorming together.

Professor Roberts pointed to the whiteboard on the side: "It's a link in distributed computing. The probability of node failure in a distributed cluster increases with scale. Recalculating the sharded data of failed nodes will have significant delays in the training process."

Consequently, Xu Qingzhou spent the whole day in the office discussing calculation problems with Professor Roberts and the others.

"Here, we can use historical gradients to estimate lost parameters. Let node k fail at time (t); its hidden vector (u_k) can be recovered through adjacent node gradient interpolation."

Xu Qingzhou wrote several formulas on the whiteboard.

【u_k^{t+1}=u_k^t-\eta\left(\frac{1}{|n(k)|}\sum_{j\inn(k)}\nablau_j^t\right)】

"Mm, allow lagging nodes to directly pull the latest global parameters (w^t), skipping intermediate gradients."

Professor Roberts nodded slightly and added on the side: 【w_{lag}^{t+1}=w^t-\eta\nabla\m】

Horn looked at the two talking back and forth, his expression strange. How did he become a supporting role?

He glanced at Xu Qingzhou and sighed again.

Alright, in front of this person, it didn't matter if he was a supporting role.

"Hey, Horn, if you don't mind, go borrow a whiteboard from next door."

"No problem!"

Xu Qingzhou didn't get home until 6:00 PM. When he returned, the school beauty had already made dinner.

7:00 PM.

Xu Qingzhou came out after washing the dishes and saw the school beauty lying on the sofa, her two snow-white feet swaying back and forth.

Again, this girl didn't know how much temptation she had, did she?

Seeing Xu Qingzhou sit down, Song Yao subconsciously stuffed her feet into his arms. "Auntie and the others have already mailed the cured meat and sausages over."

"Must have mailed a big pile again." Xu Qingzhou sighed and said.

He lowered his head and examined the school beauty's legs.

The lines were perfect, slender and symmetrical.

So tender that if you used a little force and pinched lightly, a red mark would appear.

Perfect.

When this girl was typing, the delicate toes of her jade feet moved from time to time.

Xu Qingzhou realized, thinking of the short videos he used to watch, why those old lechers often swiped for things like "sucking a mouthful."

It was indeed quite tempting.

Fortunately, he, Xu, had amazing self-control.

"I also said to mail less, but..."

Song Yao's typing hands paused, she looked up blankly, looking at the boyfriend who was pinching her feet, her face full of complexity. "Xu Qingzhou, you... you just kissed my foot..."

"Did I? Must be an illusion." Xu Qingzhou also put on a blank look.

Damn!

It was originally pure appreciation, but he couldn't help but pick it up and kiss it. He was careless.

"..."

"Pervert!"

Song Yao glared at Xu Qingzhou with a red face; the strange sensation on her foot was still there.

What to do if the boyfriend is getting more and more perverted.

It used to be playing with feet, now it's kissing, then later...

"Don't look at me like that, making me seem like something." Xu Qingzhou slid his fingertips over the snow-white calf and said seriously: "How is kissing a foot perverted? This is called 'love me, love my dog'; I like you, including your feet."

The school beauty's "Qilin arm" was about to be unable to be suppressed.

Xu Qingzhou continued: "In other words, if you like me, you should also like my feet."

"Xu Qingzhou!"

"Song Yao, you're suffocating (me)~ you won't have a boyfriend anymore."

The unilaterally crushed battle ended with the ringing of the phone.

"Phone, phone." Xu Qingzhou pried Song Yao, who was pressing on him, away, grabbed the phone on the desk, and saw the caller ID was Gu Zhizhong.

Seeing it was indeed Professor Gu, Song Yao let him go for the time being. Boyfriend, after all, could be beaten anytime.

Xu Qingzhou answered the phone: "Professor Gu, good morning."

"Xiao Xu, didn't disturb you, did I?" On the other end of the phone, Gu Zhizhong asked with a chuckle.

"No, just right..." Xu Qingzhou laughed, using his foot to hook Song Yao's clothes, which caused Song Yao a burst of annoyance, but this guy was on the phone, so it wasn't easy to take action.

"Heard that you and Wang Wang Shixiong Meng have completed the in-depth research on Inter-universal Teichmüller theory (IUT theory)."

Finally, Song Yao gave this guy a hit with a throw pillow, then stood up angrily and went to the desk to read.

"You brat, your news is quite sharp. It must have been Xiao Meng who told you."

"Mm, chatted with Wang Wang Shixiong Meng a while ago. Congratulations, Professor, for innovating the way to prove Fermat's Last Theorem."

Xu Qingzhou nodded.

"Haha, we only made some progress on the basis of our predecessors. But you brat, you've only been there for half a year and have already made quite a few big moves. Our academy has two topics related to your Riemann-Siegel zero problem. How is it, is it going smoothly now?"

Xu Qingzhou answered: "Still able to calculate along, just don't know how the result will be."

"You brat are already very amazing. As far as I know, many top mathematical research institutes in the mathematical world have established projects on the Riemann Hypothesis. Everyone has seen hope in that paper of yours."

"The mathematical world hasn't been this lively for decades," Gu Zhizhong sighed and said.

Xu Qingzhou laughed: "You saying that, I suddenly have pressure."

Solving the Riemann Hypothesis is like sailing a ship without a compass in waters with layers of fog, piecing together a navigation chart with the starlight of number theory, and splitting the waves of falsehood with the oars of analysis.

Behind every layer of fog is the unknown. Even Xu Qingzhou doesn't know if behind the fog in front of him are reefs that are difficult to traverse, a mirage-like false proof, or being dragged into a deeper abyss by the tide, or finding the shore of truth.

The two chatted for about 20 minutes.

Then they hung up the phone.

(End of chapter)