197: Hualin Problem

Guo Hao looked at the english paper in front of him with some satisfaction.

After his Linguistics was upgraded to lv5, he became exceptionally sensitive to various language logics, and he was already familiar with english, plus he had read a lot of pure english literature.

Therefore, his current professional english had also become very proficient.

The current him was completely different from the academic newcomer who had gone to find Professor Huang in a daze back then.

He smiled slightly.

He checked the paper one last time.

Only after confirming that there were no issues did Guo Hao submit the paper to the IHES Publications Mathématiques journal.

IHES, or the Institute of Advanced Scientific Studies in France, is a small research institute focused on pure Mathematics and theoretical Physics, founded in 1958 and located in Bures-sur-Yvette, a suburb of Paris.

This small research institute has very few formal Researchers, only about seven or eight people.

It publishes twice a year, but the international influence of this publication is not small at all; it is considered a very good international journal.

This journal is quite fond of differential Geometry problems, so the probability of his paper being published would be relatively higher. Of course, Guo Hao was not absolutely certain.

Or rather, unless it is an extremely significant scientific research achievement, who would dare to say which paper of theirs is guaranteed to be published in which journal?

It's all uncertain.

After submitting the manuscript, Guo Hao didn't pay attention to it anymore.

The paper review process is a very long cycle. Guo Hao's task goal is ten Zone 1 papers, and he doesn't have the leisure to waste too much time on one of them.

Taking advantage of the remaining time in the evening, Guo Hao continued to research the direction for his second Mathematics paper.

If this time the project with Academician Jiang Lei goes smoothly, he might be able to compile a separate paper of his own from the experimental data.

In short, it might be possible to produce ten papers in one year.

Anyway, worst-case scenario, he could write one or two very important papers, and the other papers could just be filler. That would lose some task rewards, but the task would definitely still be completed.

Then this Mathematics paper cannot be chosen casually...

Thinking this through, Guo Hao began to ponder.

Although he wanted to pursue the direction of Computational Materials Science, in this direction, Mathematics has become exceptionally important.

Over the past year or so, Guo Hao has increasingly felt that the focus of Computational Materials Science is really not on Materials, but on computation.

Mathematics is the foundation.

With this foundation of Mathematics, whether studying Physics or Chemistry, it can be of great help, and it can also be of great help in dealing with some practical problems!

Besides differential Geometry, he actually knows a lot about number theory. When Guo Hao read a hundred books on Mathematics and Physics back then.

He also read many monographs on number theory.

Among them, the one that left the deepest impression on Guo Hao was Hua Luogeng's "Additive Theory of Prime Numbers". This book was written very early, but it benefited Guo Hao greatly.

"Additive Theory of Prime Numbers" systematically summarized, developed, and improved the Hardy–Littlewood circle method, Vinogradov's estimation method of trigonometric sums, and his own methods.

And speaking of the venerable Hua Luogeng.

He once solved the generalized problems related to the Waring's problem and Goldbachs Conjecture, stating: For any positive integer n, does there exist a number k such that every sufficiently large integer can be expressed as the sum of k prime numbers raised to the power of n?

The Waring's problem.

Guo Hao's pen tip lingered on this famous international Mathematics problem.

A hint of hesitation appeared in his eyes.

This problem is not that easy to solve.

Although humanity is very close to the general solution of this problem, so far, humanity still has not solved the Warings Problem.

The venerable Hua Luogeng had studied the Waring's problem, but similarly, he did not provide a solution.

Can I do it?

Guo Hao's eyes showed a slight hesitation.

The statement of the Waring's problem is not very complex; the content is that for every positive integer k not equal to 1, there exists a positive integer g(k) such that every positive integer can be expressed as the sum of at most g(k) k-th powers (i.e., positive integers raised to the k-th power).

Over so many years, people have made some progress on many weaker problems, but they still cannot completely prove the Waring's problem.

After thinking for a moment, Guo Hao temporarily included this problem in his list of options.

Tackling a world-class conjecture should significantly improve the System's evaluation of the task.

Guo Hao flipped through some more papers and literature.

By the end of the night, Guo Hao still hadn't finalized his next research direction.

The next day.

Guo Hao arrived at the Laboratory as usual.

Academician Jiang Lei was not at the Yan Aviation Laboratory because it was a group experiment.

Guo Hao and Senior Brother Zhao Yang were at the Yan Aviation Laboratory, responsible for the experiments there, while Academician Jiang Lei and Professor Professor Wu Kai were at the national key Laboratory on the other side, the CATL, responsible for the research progress there.

That side was the main focus, while Guo Hao and his team were considered auxiliary.

"You're here?"

Senior Brother Zhao Yang called out to Guo Hao with a smile.

"How is the battery we made yesterday doing?"

Guo Hao casually asked Zhao Yang.

"It's not clear yet. Currently, the discharge cycle experiment is still ongoing."

Zhao Yang shrugged.

"Still ongoing??"

A look of surprise appeared in Guo Hao's eyes as he looked at Zhao Yang in front of him.

"If I remember correctly, after we made that battery yesterday, it had already been continuously discharging for over three hundred cycles during the day yesterday, right! Last night, the number of discharge cycles should have exceeded at least six hundred??"

"Mm!"

Zhao Yang nodded, a hint of a smile appearing on his face.

"Perhaps our experiment is about to make progress! Before you came, I had already called the Professor!"

"Let me see!"

Guo Hao's eyes were full of curiosity.

As they spoke, the two of them came to the instrument next to the battery discharge.

This instrument can accommodate more than twenty batteries for discharge cycle experiments simultaneously.

Many batteries next to it were either cracked or showed no signs of activity, appearing to be completely dead.

Only one battery was still undergoing the charge-discharge cycle experiment.

It surprisingly hadn't been damaged by prolonged fatigue.

Impressive!

Guo Hao's eyes immediately lit up.

"What are the composition data for this battery? Let me see?"

"It's here."

Zhao Yang smiled slightly, a look of emotion in his eyes as he said to Guo Hao.

"I really didn't expect that this experiment would yield results first in our smaller Laboratory!"