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On the Schertz Conjecture
Published online by Cambridge University Press: 08 February 2019
Abstract
Schertz conjectured that every finite abelian extension of imaginary quadratic fields can be generated by the norm of the Siegel–Ramachandra invariants. We 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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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 3 , August 2019 , pp. 837 - 845
- Copyright
- Copyright © Edinburgh Mathematical Society 2019