Chapter 100: That Student, Come Up and Solve It
“W-what are you doing?!” Zhang Qiong’s voice trembled; she was genuinely startled, caught completely off guard.
Xu Qingzhou frowned; he had intended to properly “punish” this stalker, but upon seeing the stalker’s face, he was taken aback. “Huh? You’re Song Yao’s roommate?”
“Mm.” Zhang Qiong hugged her phone, looking guilty.
Xu Qingzhou frowned. From afar, he had already noticed someone sneaking photos and trailing behind him: “Why are you following me?”
Facing Xu Qingzhou’s question, Zhang Qiong suddenly remembered her purpose; she glanced past him. “Where’s that woman just now?”
“Back in the lab.” Xu Qingzhou glanced at the nearby lab building, then turned to Zhang Qiong and extended his hand. “Hand over your phone. Were you just taking secret photos?”
Zhang Qiong shoved her phone behind her back and glared at Xu Qingzhou with fury: “Scumbag!”
He put down his teacup and said: “Has anyone solved it yet?”
Read!{
“Scumbag! Don’t think just because you deceived Xiao Yao, I don’t know your true nature!”
“Holy shit, awesome.” Below the podium, Xu Zhengyang couldn’t help blurting out.
Don’t be fooled by this professor’s cheerful demeanor—according to seniors I know, he fails the most students every year, and he’s strict in class; one wrong word and your participation grade is gone.
Although Xu Zhengyang and the others had saved a seat for Xu Qingzhou, the lecture had already started, so he could only find a seat near the back door.
As the bell rang for class, f(p)≈(logp)b.
Jiao Mingwu’s beard twitched twice. He felt he needed to set an example: diligence and eagerness to learn were good, but context mattered—this behavior was picking up sesame seeds while losing the watermelon! All eyes turned to Xu Qingzhou.
Through recent efforts, under the relaxed condition that the upper bound is c×(logp)^a, it has been proven that f(p) relates to some power of logp; the exact value still requires precise calculation.
On every face, surprise appeared to some degree.
He looked at the man: “The last student in this row, what’s your thought? Stand up and share it with everyone.”
Xu Zhengyang and Zhai Ziqiang froze. Hadn’t Old Xu not even looked at the problem this morning? In just this short time, he solved it? Kong Xianbo’s emotions were complicated: failing to solve it hurt, but seeing his roommate solve it hurt even more.
The man showed no reaction; he seemed still lost in thought.
Xu Qingzhou finally snapped out of his calculations and realized it was already 2 p.m.
!.
Xu Qingzhou sat down and pulled out the half-finished manuscript he had been working on.
This problem is meant to tell you: eat your meals one bite at a time, walk your path one step at a time—overreaching leads nowhere.
“This student, last time I left a problem in class—if you solved it, come up and explain it to everyone.”
Xu Qingzhou was about to pick up his pen when he finally sensed something odd about the atmosphere around him.
He stood frozen for two seconds, muttered “What the hell,” sighed helplessly, and turned toward Building 10.
Silence~ The classroom was unnervingly quiet.
Zhang Qiong finally realized: right, it wasn’t her who cheated—she was just gathering evidence of the crime. She had done nothing wrong. Why should she feel guilty?
His intentions were good. Jiao Mingwu had taught for decades—he understood these students were all prodigies, arrogant and bored by simple classroom content.
Under everyone’s gaze, Xu Qingzhou stood before the podium and said: “Professor, may I see the problem?” “Oh shit, class started.” He hurriedly packed his things, shoving the manuscript into his bag.
Even after Zhang Qiong left, Xu Qingzhou’s mind remained full of questions.
Xu Qingzhou found an empty classroom on the third floor and continued working on the proof of the Cramér conjecture.
Too quiet—it was unnerving, unsettling. He looked up and saw everyone staring at him, including the professor on the podium.
Although this remark carried a hint of C language, even Zhai Ziqiang felt it voiced his own thoughts.
No one raised their hand, but Jiao Mingwu smiled and nodded, unsurprised; he had deliberately made this problem extremely difficult—even third- or fourth-year students would need time to solve it.
Establish that f(p) relates to a specific power of logp (denoted as b).
Xu Zhengyang waved at Xu Qingzhou, but Xu Qingzhou couldn’t see him; he could only sit there, helplessly anxious.
When he entered, Professor Jiao had already begun lecturing.
A freshman joining the Physics Academy’s project was definitely a standout—but after that, no one heard anything about Xu Qingzhou; he vanished from everyone’s view as if he’d disappeared.
Kong Xianbo sighed, silently lamenting how foolish Old Xu was: extracurricular knowledge was important, but could it possibly outweigh attending class? This was about GPA—critical!
The effect was good.
Even he took diligent notes.
Next, the Cauchy inequality further restricts the possible form of f(p); perform an asymptotic expansion on f(p) to see whether its leading term relates to (logp)^b, then express f(p) as a series or integral to reveal its connection to logp. The classroom remained silent.
Jiao Mingwu sipped his strong tea and said, squinting.
Professor Jiao Mingwu sipped tea, waved his hand, signaling Xu Qingzhou to sit down quickly, then spoke slowly: “If I recall correctly, I assigned a thought problem last class.”
The 2 p.m. class was in Room 10401: Advanced Algebra, taught by Professor Jiao Mingwu.
Jiao Mingwu nodded slightly, preparing to continue lecturing, when he suddenly noticed the last student to enter was frowning, eyes locked on what lay before him—he’d been like this since entering the classroom. Though focused, it was clear his mind wasn’t on the lesson.
“Huh?” Xu Qingzhou’s forehead was lined with black lines.
“To be honest, I already have evidence on my phone of you chasing after other girls.”
The growth rate of f(p) is clearly faster or slower than any polynomial, yet resembles logarithmic power growth—this may be a promising sign.
Others also looked curiously at Xu Qingzhou.
“Alright.” Xu Qingzhou nodded and, under everyone’s gaze, walked calmly toward the podium.
Seeing no one speak, Kong Xianbo secretly exhaled in relief; this problem was too hard—he’d consulted many sources but couldn’t solve it.
Kong Xianbo felt the same, and silently sighed: when would he ever be like Old Xu—even if he couldn’t solve it, he remained as calm as a dog, even enjoying the attention?
Jiao Mingwu was equally exasperated; after half a lifetime of teaching, he’d never encountered this—didn’t even know the problem. He shook his head, pointed to his lesson plan, and snapped: “Page 78. Read it yourself.”
Xu Qingzhou nodded, calmly picked up the lesson plan, and glanced at the problem.
Let G be a non-Abelian finite group of order p^n q^m, where p and q are distinct primes, and n, m ∈ N. Its character χ takes non-zero values on certain conjugacy classes.
Assume there exists an algebraic curve C defined over f{p^r}, whose function field coincides with some algebraic extension defined by a specific subgroup of G.
(End of Chapter)
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