Quantitative Nonvanishing of L-Series Associated to Canonical Hecke Characters Academic Article uri icon

abstract

  • We prove quantitative nonvanishing theorems for central values and central derivatives of L-series associated to canonical Hecke characters of imaginary quadratic fields. These results have applications to the study of Chow groups of Kuga-Sato varieties. Some key ingredients in the proofs are bounds for torsion in class groups obtained recently by Ellenberg and Venkatesh [2], and subconvexity bounds for automorphic L-functions due to Duke, Friedlander, and Iwaniec [1]. © The Author 2007.

author list (cited authors)

  • Masri, R.

citation count

  • 2

publication date

  • July 2010