Top Student at Their Peak-Chapter 235 - 109 Paper Completion_3

This formula... is indeed beautiful!

After admiring it for a while, Qiao Yu immediately began to verify it. After all, a formula’s aesthetics alone aren’t enough; it must also be functional.

What he needed to do was to determine the accuracy of his formula.

Qiao Yu selected the classic elliptic curve y^2=x^3+x.

According to the known conditions of the BSD conjecture, the curve’s deficiency is 1. By directly substituting this into the formula and simplifying, the result is: θ=5. Well, 5 to the power of 1 is still 5.

The conclusion is obviously correct.

Because this is a classic Elmert curve, the rational points on the curve were calculated over ten years ago.

Next came the Mordell curve, a special case of the Fermat curve, and various cases of the Kubert curve... Qiao Yu tried them all.

For instance, the Mordell curve: y^2=x^3+k, with k as an integer. He verified cases with known finite rational points, such as k=-1 and k=2, and all proved to be correct.

Then Qiao Yu opened Professor Robert Green’s paper and conducted comparative calculations between his formula and the one derived by Robert Glenn. For the determined number of points, his formula mostly matched Robert’s results, but for some uncertain ones, there were some discrepancies, albeit minor.

Alright, he wasn’t inclined to bother over who was right or wrong.

At least at this stage, he could start writing his paper, which was actually the easiest part for him.

This was because he had already written most of the formula derivation process in the previous half month, considering he planned to complete a paper. Therefore, Qiao Yu had prepared the entire derivation process in detail, and what remained was to use professional language to integrate those derivations.

It was nothing more than including lemmas and theorems, and the proof sections could mostly be copy-pasted directly.

The main task now was to write the proof process for the unified geometric constraint parameter θ.

Luckily, Qiao Yu had an entire weekend to complete this paper.

Truthfully, there was no need to rush, given Qiao Yu’s age, there was no need to compete against time. Whether the paper was completed a few days earlier or later, it didn’t matter.

He didn’t need to apply for positions, nor did he face the 3+3 pressure. Worst-case scenario, even if someone in the global mathematics community was conducting the same research and published first, it wouldn’t significantly affect him, other than prompting him to think of another project.

After all, there is no inherent pressure to publish papers during the student phase.

Qiao Yu’s thought process was simple. ƒreeωebnovel.ƈom

This week he hadn’t read books or papers, so naturally, he couldn’t produce any reading insights over the weekend to submit to his advisor and his mentor.

Of course, if he explained clearly, he believed that both Director Tian and his mentor across the room would trust him.

But what pale explanation could be more convincing than directly sending the paper into their email inboxes?

Send the paper first, then explain briefly on WeChat: "Sorry, Advisor/Mentor, I didn’t self-study according to the plan last week, so I can’t send you my reading insights this week. The reason is that I spent all my time last week perfecting my paper, which has been emailed to you."

Qiao Yu didn’t know what others thought, but he understood an important principle since fifth grade: action is far more convincing than words, and actions with results are far more convincing than those without.

Trust is either built through repeated actions yielding results, or eroded through repeated futility or mere words.

Why could he maintain a steady cash flow starting in sixth grade? Simply because he spent most of fifth grade establishing a good reputation and full trust among fellow elementary students, amassing a fixed clientele of elementary students.

Any work he did, any signed letters, teachers couldn’t detect; and he never failed when he promised high scores on proxy exams.

To achieve this, he even gave up on his grades daily, did his homework carelessly, always got Cs, relied on guesswork for exams, filled up the exam papers completely, yet still barely passed.

He never skipped classes, caused disturbances, always acted like he was listening seriously in class, yet during self-study periods, he was busy doing homework for others... It was all to give teachers the impression that this child was diligent and obedient but just couldn’t improve his grades.

The goal was that even if a classmate was short-sighted and secretly tattled to the teacher, the teacher wouldn’t believe he had the capability to do work for others or take tests on behalf of others...

So now he was just reversing the school-time tactics.

Qiao Yu had always been this way: meticulous, purpose-oriented, exceptionally proactive, and with a decent IQ, achieving twice the result with half the effort in his endeavors.

Thus, by Sunday afternoon, Qiao Yu had completed writing the paper. The next step was the secondary review and amendment of the paper.

After reading the papers of Old Xue’s master’s students, Qiao Yu realized how ludicrous some minor mistakes in details appeared to be to reviewers.

Thus, Qiao Yu was rigorous in his paper, demanding at least no obvious inappropriate wording, grammatical ambiguities, or logical gaps. Even the literature review content and citation format adhered to unified standards, leaving no room for error.

Staying busy until late at night, Qiao Yu finally organized the paper twice completely, made some minor edits and, satisfied, sent the paper titled "Derivation of Algebraic Curve Rational Points Upper Bound Based on Quasi-Complete Space, Modular Forms, and p-Adic Geometry" to Tian Yanzhen and Yuan Zhengxin, the two big contributors.