133: Riemann zeta function

Ma Xin raised his head and said to Guo Hao beside him.

"Get lost! Luoyan and I aren't together yet!"

Guo Hao said to Ma Xin irritably.

"Huh? Hao Ge, I didn't hear wrong, did I? You mean, you and Shen Luoyan go to the Library to read every day, half the school knows about it, and yet, you two aren't together???"

Li Ming raised his head from the bed, his eyes filled with disbelief.

He asked Guo Hao.

"Is it that hard to understand?"

Guo Hao shrugged and said to Li Ming and Ma Xin in front of him.

"Damn! What are you two doing? Just Library buddies? That shouldn't be right! Even if you're Library buddies, who goes out together at night so late???"

Ma Xin looked at Guo Hao in front of him, puzzled.

"The ambiguous phase, understand!"

Guo Hao rolled his eyes at the two of them.

"Alright, alright, the ambiguous phase, the ambiguous phase!"

Ma Xin said to Guo Hao irritably.

"Of course!"

Guo Hao smiled.

After speaking, the dorm lights went out.

"Holy crap, it's already eleven-thirty?"

"Indeed! Hao Ge came back past eleven-twenty, and we chatted with him for a while, so it's eleven-thirty now."

The few of them chatted for a while, and Guo Hao roughly washed up.

Coming back so late today, he wouldn't waste his energy potion.

He lay directly on the bed and fell into a deep sleep.

Time flowed by slowly like water.

The matter of the Zone 1 paper was destined to be just a small interlude; it seemed to stir up some waves online, but in reality, the scope of its influence wasn't too large, merely letting many people know that Yan Aviation had produced a mathematical genius.

That was all.

Glory is always temporary, while plainness is long-lasting.

Learning, in the end, is primarily characterized by plainness.

Yan Aviation's cultivation plan for Guo Hao was quickly put on the agenda.

After discussing with Guo Hao, Guo Hao's course schedule was packed full, in addition to the courses for the Materials Engineering major.

He was also taking classes from the Hua Luogeng Class, so it could be said that every day became extremely busy.

Even the time spent at the Library became less than before.

Only the weekends remained the same as before.

Similarly, Shen Luoyan also became busy.

Guo Hao and Shen Luoyan were like two large and dry sponges, constantly absorbing nutrients from the outside world.

Constantly absorbing knowledge.

Soon, the end of the semester approached.

Guo Hao sat in the classroom.

Most students became a bit anxious as the end of the semester approached.

The entire advanced Mathematics classroom was packed.

Guo Hao was doing practice problems; he wasn't looking at the Teacher on the podium.

This was the advanced Mathematics class for the Material Engineering major.

Guo Hao had been absent quite a bit.

To avoid failing directly due to absences, under Wang Ming's warning, Guo Hao could only sit in the classroom.

"Guo Hao, come explain this problem to us."

Just as Guo Hao was safely hidden behind everyone, diligently thinking about a Mathematics problem.

A familiar voice sounded from the side.

Many students in the classroom uniformly looked towards Guo Hao.

Guo Hao felt slightly awkward and stood up.

"Professor Huang..."

Guo Hao looked at Professor Huang on the podium.

These two months of crazy studying had made Guo Hao forget that the Professor for the Material Engineering major was Professor Huang...

Professor Huang smiled slightly.

"Come on! You've skipped my class so many times this semester.

If you can't solve this problem, I'll give you zero points for your usual performance score!"

Professor Huang teased Guo Hao.

There was nothing he could do.

Guo Hao felt slightly helpless.

He had originally intended to just get through this class.

After all, the advanced Mathematics from the first semester of freshman year... Honestly, they were all extremely basic problems for Guo Hao.

He was just there to fulfill the class hours.

Walking to the side of the blackboard, Professor Huang looked at Guo Hao with a smile on his face.

Guo Hao's gaze turned to the blackboard.

With just one glance, a look of surprise appeared in Guo Hao's eyes.

It was the Riemann ζ function.

Had they, these freshmen, already studied up to here??

That shouldn't be right!

Guo Hao subconsciously looked towards Professor Huang beside him.

Professor Huang saw the confusion in Guo Hao's eyes.

"This is extended knowledge.

I was just talking to them about the relevant knowledge points regarding the Riemann function and put up this problem.

I happened to see you were here, so I wanted you to explain it in my place!"

Professor Huang said to Guo Hao with a smile.

Alright!

Guo Hao felt slightly helpless, not expecting such a situation.

The Riemann ζ function, proposed by Bernhard Riemann, is an important function in the theory of complex functions.

Defined as the series s s s converges.

The ζ function has an analytical expression in this region, and its analytical continuation to the complex domain reveals its deeper properties.

The problem in front of him was relatively complex.

Guo Hao held the chalk and thought in front of the blackboard for a good while.

He started writing down the solution process rapidly.

"Consider the function f(x) = x², x ∈ [-π, +π], and expand it using Fourier series..."

......

"Therefore... it can be deduced..."

After Guo Hao finished writing this method, he looked at Professor Huang beside him and said.

"This is the Fourier transform method.

I have other methods too, should I write them all?"

"No need."

Professor Huang looked at Guo Hao with a smile on his face.

"Come and explain the Riemann function to everyone, and your problem-solving approach!"

"Okay!"

Guo Hao nodded.

He began to explain his problem-solving approach to the students in front of him.

The current Guo Hao, compared to when he had just published his Mathematics paper two months ago, had undergone another transformative change.

Mathematics Breakthrough Lv5 brought him huge influence and changes.

During this time, his powerful mathematical intuition increased his efficiency by at least a hundred percent when reading Mathematics books, a very exaggerated number.

When facing a difficult Mathematics problem, the inspiration he generated was also much more than before.

Professor Huang's eyes were full of admiration as he looked at Guo Hao beside him.

This student was growing too fast.

His future absolutely couldn't be limited to Yan Aviation.

Even his old friend's Peking University, he felt, couldn't hold back this young eagle.

In Professor Huang's view, Guo Hao was even more of a genius than the four geniuses Peking University had before.

Peking University couldn't even keep the four top geniuses they themselves had nurtured.

However, he heard that Xu Chenyang had recently returned to China and rejoined Peking University to teach?

This also seemed to be good news.

Professor Huang's mind wandered, while the students below the podium were already bewildered listening to Guo Hao's lecture.

Who am I?

Where am I?

What am I listening to??

Is this Guo Hao in front of me really in the same year as me???

"Professor, I'm finished explaining."

Guo Hao reminded Professor Huang beside him.

"Oh, oh!

Okay."

Professor Huang was startled awake at this moment.

"Did everyone understand?"

Professor Huang smiled, turned his head, and asked the many students in the classroom.