Cm Cycles and Nonvanishing of Class Group L–functions
نویسندگان
چکیده
Let K be a totally imaginary quadratic extension of a totally real number field F , and assume that F has narrow ideal class number 1. Let χ be a character of the ideal class group CL(K) of K, and let LK(χ, s) be its associated L–function. In this paper we prove that for all > 0, #{χ ∈ CL(K)∧ : LK(χ, 1 2 ) 6= 0} ,F d 1 100− K as the absolute discriminant dK →∞.
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