On the Schertz conjecture
Number Theory
2019-07-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1610.01311,
title = {On the Schertz conjecture},
author = {Ja Kyung Koo and Dong Sung Yoon},
journal= {arXiv preprint arXiv:1610.01311},
year = {2019}
}
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9 pages