Where She Lived

"What an arrogant... guy..." Ou Ye listened to Shen Qi talk about amusing things from the World Chemistry Conference. As she listened, she drifted off to sleep.

Shen Qi tucked the covers around Ou Ye, then sat beside the bed, quietly watching his wife and everything in the hospital room.

The computer Ou Ye had brought was on. Beside it lay several math books and a few sheets of paper covered in mathematical calculations.

Shen Qi quietly went over to the desk and looked through the formulas Ou Ye had written.

His wife was working hard too, not forgetting her math project even while she was in the hospital.

Shen Qi carefully studied Ou Ye's derivation proving the BSD Conjecture. On the first page was the group addition on an Elliptic Curve; on the second, the calculation of a copy of a special set of integers; on the third, the calculation of the rank of an Elliptic Curve; on the fourth, an attempt to prove the rank of an Elliptic Curve in reverse using Group Theory...

Well, she'd really grasped the essence of the BSD Conjecture. Perhaps she was getting closer and closer to the truth.

Shen Qi looked at the sleeping Ou Ye. She was her own god, in the place where she lived.

The last page held an unfinished infinite product, L(E,s)=∏(1-ap/ps... eat, sleep, bully Little Qi...

One property of an infinite product was that, when it converged, its general term had to converge to 1.

Cheeky. Shen Qi thought, Little Yezi, you're getting cheekier. You've even written down the formula for dealing with me.

But, honey, your infinite product L(E,s) isn't complete. Let me finish it for you.

Shen Qi continued writing on the paper:

...∏(Np/p+p+c1(s-1)... a sufficient and necessary condition for Little Qi to converge is