What She Had Achieved

He rushed to the hospital in a panic. Even at five in the morning, the hospital was already bustling, and Shen Qi headed straight for Ou Ye's room.

He pushed open the door and saw Ou Ye lying quietly in bed, sleeping like a baby, her chest rising and falling with each breath.

His wife seemed to be fine after all. It had been a false alarm.

"What's this..." Shen Qi soon noticed the manuscript on the table. He carefully took a seat and examined Ou Ye's work.

L^(r)(E,1)=cE#Sha(E)...Gross-Zagier Formula→L'(E,1)/cE→rational number,analytic rank=0,1→p≥3,p=good reduction prime→ordp(L(E,1)/cE)= ordp(#Sha(E))...analytic rank≥2,Gauss conjecture in quadratic fiel→h(D)＞1/55(ln∣D∣)∏(1-2√p/p+1)→L(E,s)∏p(1-ap/p^s+p/p^2s)^-1→L(E,s)=c(s-1)^r+High-Order Items!

!

!!

!!!

Shen Qi was stunned!

The jumble of programmer-like code Ou Ye had written appeared to be a complete proof of the strong BSD Conjecture!

He checked it again.

No mistake. The proof seemed sound!

The manuscript offered a reasonable approach to establishing that L(E,s)=c(s-1)^r+higher-order terms!

In other words, E gave an exact measure of the order of vanishing of L(E,1)!

Put another way, for any rational value of the analytic rank, every corresponding elliptic curve satisfied the BSD Conjecture!

She—his wife—had proved the strong BSD Conjecture before he did!

Right here in this hospital room!

While taking part in a clinical trial!

A patient had solved a Millennium Prize Problem!

Shen Qi had thought Ou Ye's mathematical ability was just a little below Andrew Wiles's.

But now it seemed that Ou Ye had made tremendous progress and reached the peak of her abilities!

She had the strength of a world-class mathematician.

Could the hospital be her ideal place to cultivate her skills? Was triazatrisiloxanes her miracle elixir?

Shen Qi was both shocked and delighted. Overall, delight outweighed shock.

Actually, on closer analysis, it wasn't beyond the realm of possibility for Ou Ye to prove