Chapter 181: No Way, He Actually Knows This?

In the auditorium, everyone's gaze was fixed on the young figure on the stage.

Some had already guessed Xu Xu Qingzhou's identity and looked curious; others harbored doubt—could a young man of about twenty, merely by listening to the lecture, truly contribute to the research of the world's top mathematicians?

Academician Xu Xu Shihui sighed with emotion, thinking no wonder Gu Zhi treasured this student so much—his demeanor was natural and composed, and at such a young age, he already possessed the aura of a great mathematician.

Beside him, Zhao Zheng's heart was already shouting: My junior brother is incredible!

Shhh—shhh—before the blackboard, Xu Xu Qingzhou had already written out the first formula and said: "Based on the location of the large values of the Dirichlet series, we can transform the problem into studying the energy distribution, which may allow us to estimate the frequency of large values more precisely."

"Your line of thought is fascinating," Professor Maynard praised, picking up chalk to derive alongside the formula.

The mathematicians seated below also wasted no time, immediately grabbing paper to verify the calculations.

Among the crowd, hearing Professor Maynard's evaluation of Xu Xu Qingzhou, the Indian guy felt uneasy—fuck, this Chinese guy really does have something.

Catherine stared intently at Xu Xu Qingzhou, finding him increasingly intriguing—intelligent, composed, but too cold, especially when doing math calculations, devoid of warmth; she disliked dating people like that.

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Some in the audience looked moved, recalling the saying: the success you spend your entire life striving for is merely something a genius can achieve after a few sleepless nights.

"Here, we need to explicitly mark the precise form of the phase function t log n hidden within the Dirichlet series," Xu Xu Qingzhou occasionally interjected.

Looking at the verification results, Professor Maynard's expression lit up with delight: "Perfect!"

Catherine waited with keen interest for Xu Xu Qingzhou's explanation.

This kind of brainstorming session was the most captivating.

"Hmm, kid's got some drive."

Professor Maynard greeted: "Mr. Randolph."

Xu Xu Qingzhou was surprised—this giant in harmonic analysis had recommended something from analytic number theory; perhaps, precisely because he understood harmonic analysis so well, he knew this approach would lead nowhere? Professor Maynard paused briefly, then nodded: "We can try."

Another twenty minutes passed, yet few in the auditorium had left.

Five minutes slipped away quietly.

Professor Maynard's eyes never left the formulas Xu Xu Qingzhou had written—sometimes dawning with insight, sometimes delighted, sometimes sinking into deep thought; the mathematicians below wore faint expressions of excitement.

Professor Maynard shook hands with Xu Xu Qingzhou, expressing his gratitude.

The Indian guy's heart rejoiced—Professor Maynard's paper was based on Fourier analysis; if there was a flaw in Fourier analysis, it meant his entire research was wrong.

Xu Xu Qingzhou nodded and picked up chalk to adjust the calculation formula.

Professor Maynard continued writing on the blackboard.

But here, both Xu Xu Qingzhou and Professor Maynard were stuck, unable to think of how to proceed further.

In the auditorium, most people still hadn't left—some genuinely hoped the three on stage would produce a breakthrough; others were just there for the spectacle.

Onstage, Xu Xu Qingzhou put down the chalk, looked up at the blackboard, exhaled slowly, then turned to Professor Maynard: "I'm sorry, these are all the ideas I have for now."

That's right—the key lies in Fourier analysis.

"Gentlemen," at this moment, an elderly man with glasses stepped forward.

In fact, the lecture's scheduled time had ended, but no one had any intention of leaving; all eyes remained fixed on the two figures onstage.

"The Riemann Hypothesis tells us that for any σ > 1/2, n(σ, t) is zero. We divide the problem into three cases—small, medium, and large additive energy e(w)—and handle each case through parameter variation." Ten minutes passed.

As he spoke, he began writing on the blackboard.

Onstage, the new line of thought hit another bottleneck.

The initial steps were standard: based on Fourier analysis, raise the critical phase matrix n^(it) to the sixth power, then... his gaze sharpened—no, all subsequent calculations were off; they needed to return to the previous step! "Fourier analysis," Xu Xu Qingzhou uttered the term.

"The Twin Prime Conjecture?" Academician Xu Xu Shihui blinked in surprise. "Yes."

Xu Xu Qingzhou frowned, staring at every step of the derivation, recalling every detail Professor Maynard had previously explained.

If nothing went wrong, this young man's method was indeed viable! "Huh."

【$\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s}$】

Phil Randolph smiled, waved his hand, and stared at the formulas written by Xu Xu Qingzhou and Professor Maynard: "What if, instead of using the more general exponential sums encountered in harmonic analysis, we exploit the special properties of exponential sums arising in analytic number theory—wouldn't that yield new insights?"

"Exactly! That's it!"

Xu Xu Qingzhou also greeted him—Phil Randolph, also invited to give a talk, was an expert in harmonic analysis.

"No, Xu, I must thank you—you've given us an entirely new direction!"

Others too were wondering whether Xu Xu Qingzhou had a new idea.

Academician Xu Xu Shihui sighed: "It seems our student from the Math Department possesses talent far more terrifying than we imagined."

Below, Academician Xu Xu Shihui and Zhao Zheng wore complex expressions.

!.

Xu Xu Qingzhou proposed: "We can avoid using the method of stationary phase to simplify the Fourier integral; instead, we concede on the exponent to preserve a factorization form that proves more useful than the stationary phase approximation."

Two additional blackboards filled with formulas appeared.

Watching Xu Xu Qingzhou chatting merrily with Professor Maynard, the Indian guy's jealousy was beyond words—his lips twitched. No way—he actually knows this?!

Zhao Zheng agreed: "Yeah, this morning, Junior Xu told me he's been researching the Twin Prime Conjecture himself."

Professor Maynard stopped, feeling disheartened—according to known calculations, this path was fundamentally unworkable.

It's the foundational framework of the entire paper; if it fails, no matter what method follows, it'll be just as useless as before.

Both Professor Maynard and Professor Randolph looked at Xu Xu Qingzhou, waiting for his opinion.

"Not using the method of stationary phase?" Professor Maynard was startled.

Everyone fell silent, watching the formulas continuously appear on the blackboard; the staff waited patiently nearby, ready to assist if the mathematicians needed help erasing the board.

"Xu? He's the one who proved Cramér's theorem."

"Xu Xu Qingzhou."

"A rising star in mathematics—I guarantee, within ten years, his name will appear on the Fields Medal list."

Hearing Professor Maynard's address, some finally realized—staring at Xu Xu Qingzhou, their eyes filled with awe, marveling at how young he was.

(End of Chapter)