Quantitative Nonvanishing of L-series Associated to Canonical Hecke Characters

نویسنده

  • RIAD MASRI
چکیده

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 [EV], and subconvexity bounds for automorphic L–functions due to Duke, Friedlander, and Iwaniec [DFI].

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تاریخ انتشار 2013