Nonvanishing of Hecke L-functions and the BlochKato conjecture Academic Article uri icon

abstract

  • In this paper we study the central values of L-functions associated to a large class of algebraic Hecke characters of imaginary quadratic fields. When these central values are nonzero, the Bloch-Kato conjecture predicts an exact formula for the algebraic parts of the central values in terms of periods and arithmetic data, most notably the Selmer groups corresponding to the Hecke characters. We investigate the nonvanishing of these central values, and prove the p-part of the Bloch-Kato conjecture in these cases for primes p which split in K. 2010 Springer-Verlag.

published proceedings

  • Mathematische Annalen

author list (cited authors)

  • Kim, B. D., Masri, R., & Yang, T. H.

citation count

  • 4

publication date

  • February 2011