p=2.2 3p=+1,0 -I0.0L. 1 e=l-1-IT Figure6:BSD猜克 Birch and Swinnerton-Dyer conjecture 设L(C,s)=Πp2s(1-apps+p-2)1. Birch and Swinnerton-Dyer Conjecture.The Taylor expansion of L(C,s) at s=1 has the form L(C,s)=c(s-1)"+higher order terms with c0 and r rank(C(Q)). Bryan John Birch F.R.S.,1931.9.25,英国数学家 Sir Henry Peter Francis Swinnerton-Dyer,16th Baronet KBE FRS ,1927.8.2,英国数学家 6Figure 6: BSDß➂ Birch and Swinnerton-Dyer conjecture ✗L(C, s) := Q p|2δ (1 − app −s + p 1−2s ) −1 . Birch and Swinnerton-Dyer Conjecture. The Taylor expansion of L(C, s) at s = 1 has the form L(C, s) = c(s − 1)r + higher order terms with c 6= 0 and r = rank(C(Q)). Bryan John Birch F.R.S.➜1931.9.25➜❂■ê➷❬. Sir Henry Peter Francis Swinnerton-Dyer, 16th Baronet KBE FRS ➜1927.8.2➜❂■ê➷❬. 6