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

• Autores: Riad Masri
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 3, 2008, págs. 663-676
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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