The Birch and Swinnerton-Dyer Conjecture

"I believe they want I prove if r = 0, L(E, 1) ≠ 0, and L(E, 1) = 0 if r > 0, and Ord_s = 1L(E, s) = r, and L(C, s) ~ c(s – 1)^r while s → 1." "I proved four fifths of The Birch and Swinnerton-Dyer Conjecture in five days, but I annulled one fifth of it."

据我理解，他们希望我证明如下结论：当r=0时，L(E,1)≠0；当r>0时，L(E,1)=0；且L(E,s)在s=1处的零点阶数为r，同时当s趋近于1时，L(C,s)~c(s−1)^r。我曾在五天内证明了贝尔奇-斯温纳顿-戴尔猜想（Birch and Swinnerton-Dyer Conjecture）的五分之四，但随后又推翻了其中的五分之一。