Quantitative Nonvanishing of L-Series Associated to Canonical Hecke Characters
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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 , and subconvexity bounds for automorphic L-functions due to Duke, Friedlander, and Iwaniec . The Author 2007.
International Mathematics Research Notices
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