The night before the college entrance exam results were released, I redeemed my Peking University ad

Please advise!

The moment those three words were spoken, the entire audience held their breath.

The live stream chat was flooded with comments like a whirlwind, each one brimming with barely suppressed excitement and nervousness:

"Here it comes! The ultimate showdown has officially begun!"

"I got goosebumps all over! I was even afraid to breathe loudly!"

"The God of Season has accepted the challenge! Just for that confidence, I kneel in respect!"

"My palms are sweating! What kind of question could make this old man put on four layers of nail polish?!"

……

A barely perceptible chill crept onto William's lips as he slowly spoke, his voice carrying through the microphone throughout the auditorium and across the globe.

My question is: For all semi-stable elliptic curves with rank not exceeding 1, does the rank of its Model-Wey group equal the order of its L-function's zeros at s=1?

The moment the words were spoken, a collective gasp filled the auditorium.

It's actually the BSD hypothesis!

No one expected that IMU's trump card would be this ruthless.

Although it is not a complete proof of the BSD conjecture, but only a weak extension with limited conditions, everyone knows that the core of this problem is the Birch and Swinnerton-Dyer conjecture, one of the seven unsolved problems of the millennium.

No wonder William said it had troubled him for over a decade. This wasn't just polite talk; it was the absolute truth.

The BSD conjecture is a field he has dedicated his life to, and this weak form has been a bottleneck for him for more than a decade, from which he has yet to break through.

Even some of the big shots in the front row had a change in expression.

The moment William stepped forward, these people already guessed that the problem was probably related to the BSD hypothesis.

After all, William's research focused on the BSD conjecture, but these experts didn't expect that William would ask this question.

Although this is only a weak form, its difficulty is no less than that of the complete BSD conjecture!

Tao Zhexuan frowned, his fingertips unconsciously tapping lightly on his knees, his mind already racing as he deduced the possible path.

The more he pushed, the more serious his expression became.

This question may seem to have narrowed the scope, but in fact, it doesn't omit any of the core difficulties. To give a complete proof on the spot would be extremely difficult.

Wiles frowned slightly, his hand holding the water glass hovering in mid-air.

He was the prover of Fermat's Last Theorem and knew best what a problem of this magnitude meant.

Let alone proving it on the spot, even if you give him six months, he might not be able to crack this tough nut.

The other scholars whispered amongst themselves, their expressions varying.

……

In the live stream, most viewers were completely confused, and the screen was filled with question marks.

"Is there anyone who understands this? Speak plainly! What level is this question?"

"I'm so anxious! Is it difficult or not? Give me a definite answer!"

Soon, math majors jumped in to explain, their words filled with astonishment:

"Simply put, this is a weak extension of the BSD conjecture, one of the seven Millennium Prize Problems in Mathematics."

"Although this weaker version cuts the requirements in half, the core difficulty is basically retained."

"That old Frenchman is one of the top three authorities in the global BSD field. He has been studying this weak form for more than ten years, but he still hasn't fully proven it."

"To put it bluntly, he tested Ji Bai on the spot with a question that he himself hadn't been able to solve in half his life."

In layman's terms: Ji Bai previously proved the Poincaré conjecture, which was equivalent to climbing Mount Everest. Now, IMU is asking him to climb K2 again within half an hour.

"And they were not allowed to use oxygen tanks, nor were they allowed to rest, all in front of cameras broadcasting live worldwide."

……

Netizens were stunned upon hearing this, and their anger instantly surged to their heads:

"Wow! That's an incredibly powerful move!"

"No wonder the wind-up was so long!"

"So, they stacked four layers of armor just to dig this out?"

"It really is one of the world's top seven!"

"Although it's only a weak conjecture, the difficulty is no less than that of conjecturing itself!"

"Knowing that the BSD conjecture is inappropriate, try a different approach. Is there any difference between that and directly asking about the BSD conjecture?"

"Despicable! Utterly despicable! A leading academic figure resorting to such underhanded tactics!"

"Did you guys notice the expressions on the faces of the big shots in the front row? Terence Tao frowned! Wiles frowned too!"

"Even these two big shots are frowning, do I need to tell you how difficult this question is! Ji Shen, you have to hold on!"

……

At this moment, Ji Bai had already picked up the chalk on the platform and turned around to transcribe the question completely onto the blackboard.

"So, you're asking about the equivalence between the rank and the zero-order in this weak form?"

"That's right."

William nodded, his tone carrying a hint of confident composure: "Ji Bai, you can take your time to think it over. There's no need to rush."

Ji Bai didn't speak, turned around and stared at the blackboard, remaining silent for two minutes.

The audience held their breath, thinking he was organizing his thoughts.

No one knew that, with the triple boost of Ramanujan's mathematical intuition, Gaussian-level talent, and a permanent +10 IQ, the core structure of the problem that had troubled William for more than a decade had clearly emerged in Ji Bai's mind.

The system's statement that "its intelligence is unknown, but it becomes stronger when facing stronger opponents" is not just empty talk.

The next second, Ji Bai picked up the chalk, his wrist flicked, and neat lines of formulas flowed onto the blackboard like water.

"Note that the first term of the Taylor expansion of the L function of the elliptic curve at s=1 can be correlated with the order of the Shafarevich-Tate group."

"It is not difficult to see that for semi-stable curves with a rank not exceeding 1, all higher-order terms can be eliminated using Kolyvagin's Euler system method."

"It is obvious that by substituting the height formula of the Hagner point, the equivalence between the rank and the order of the zero point can be directly derived..."

……

The repeated use of phrases like "noticed," "not hard to see," and "obvious" made the mouths of the bigwigs in the audience twitch.

These crucial steps, which they considered to require dozens of pages of deduction, were as self-evident as "one plus one equals two" in Ji Bai's mouth.

The scratching sound of chalk on the blackboard became the only sound in the auditorium.

Half an hour later, Ji Bai put down the chalk and dusted off his hands.

The blackboard was filled with the derivation process, with a closed logical loop and clear steps, from lemma to conclusion, all fitting together seamlessly.

The entire auditorium was deathly silent.

Everyone stared at the blackboard, their eyes wide open, their minds frantically calculating, but the more they calculated, the more alarmed they became.

Every step was correct, every jump was traceable, and even the most tricky details were thoroughly covered.

He stood on the stage and proved the problem that had puzzled the French mathematical giant for more than a decade in just half an hour.

The live stream chat exploded; the barrage of comments was so dense that the screen was completely obscured.

"Holy crap??????"

"Half an hour?! He proved a problem that William couldn't solve in half an hour???"

"Noticed? Not hard to see? Obvious?? Is this the world of the big shots?!"

"I was completely dumbfounded! This is a Millennium Prize Problem level problem! And that's it?! That's it?!"

William: I've been preparing this killer move for over a decade. Ji Bai: Half an hour to warm up.

"Hilarious! Wearing the thickest armor, taking the worst beating!"

"Hahahaha, what the hell? Wearing the thickest armor and taking the most brutal beating! That's hilarious!"

……

On the platform, Ji Bai looked at the petrified William below and spoke calmly:

"Mr. William, is there any other question?"

William stared intently at the blackboard, his expression shifting from astonishment to disbelief, and then to a hint of flustered panic.

He opened his mouth, then suddenly raised his voice, his tone tinged with a frantic urgency:

"No! Something's wrong here!"

What does it mean to "notice"?

"How did you notice the correspondence between the first term of the L function and the order of the Saxophone group?"

"You glossed over such a crucial step with just a few words? It's not even obvious!"

"What about the process?"