On the Schertz conjecture
classification
🧮 math.NT
keywords
conjectureschertzabeliancharactersclassconditionalconjecturedevery
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Schertz conjectured that every finite abelian extension of imaginary quadratic fields can be generated by the norm of the Siegel-Ramachandra invariants. We shall present a conditional proof of his conjecture by means of the characters on class groups and the second Kronecker limit formula.
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