On the Lfunctions of the curves y2 = x + A Academic Article uri icon

abstract

  • 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. 2008 London Mathematical Society.

published proceedings

  • Journal of the London Mathematical Society

author list (cited authors)

  • Masri, R.

citation count

  • 0

complete list of authors

  • Masri, Riad

publication date

  • December 2008

publisher