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The ratio $L(A,1)/\Omega_A$


Extending classical work on elliptic curves, A. Agashé and I found a computable formula for the rational number $L(A,1)/\Omega_A$under reasonably general hypothesis. Using similar techniques, I hope to find computable formulas for rational parts of special values of twists, and of L-functions attached to forms of weight greater than two. I have already computed $L(A,1)/\Omega_A$ for several thousand abelian varieties, and hope to extend these computations.



William A. Stein
1999-12-01