The Diophantine equation y2= x(x2+ 21Dx+ 112D2)and the conjectures of Birch and Swinnerton-Dyer

Autor: Rajwade, A. R.
Zdroj: Journal of the Australian Mathematical Society; November 1977, Vol. 24 Issue: 3 p286-295, 10p
Abstrakt: AbstractSome of the conjectures of Birch and Swinnerton-Dyer have been verified for curves with complex multiplication by ? ? 7. The L-function LD(1) of such curves at the point s= 1 is written as a finite sum of division values of p-functions and the integer property of LD(1) is proved.
Databáze: Supplemental Index