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- W3000691671 abstract "We show that the central value of class group L-functions of CM fields can be expressed in terms of derivatives of real-analytic Hilbert Eisenstein series at CM points. Then, following an idea of Iwaniec and Kowalski we obtain a conditional explicit lower bound of class numbers of CM fields under a weaker assumption. Some results in the proof lead to an effective nonvanishing result for class group L-functions of general CM fields, generalizing the only known ineffective results." @default.
- W3000691671 created "2020-01-23" @default.
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- W3000691671 date "2020-01-18" @default.
- W3000691671 modified "2023-09-25" @default.
- W3000691671 title "An explicit CM type norm formula and effective nonvanishing of class group L-functions for CM fields" @default.
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- W3000691671 doi "https://doi.org/10.2140/pjm.2020.304.347" @default.
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