Resumen de On the L-functions of the curves y2 = x + A

Riad Masri

• Let > 3 be an odd prime and let A be an integer not divisible by . Let CA be the non-singular projective model over of the affine curve CA: y2 = x + A. In this paper, we use the theory of Hilbert modular Eisenstein series to obtain a formula for the central value of the Hasse�Weil L-function L(CA, s) of the curve CA when the cyclotomic field () has ideal class number 1