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math.NT2020
Normal CM-fields with class number one
Tommy Hofmann, Carlo Sircana
We show that assuming the generalized Riemann hypothesis there are no normal CM-fields with class number one of degree 64 and 96. This is done by constructing complete tables of no…
math.NT2019
On the computation of overorders
Tommy Hofmann, Carlo Sircana
The computation of a maximal order of an order in a semisimple algebra over a global field is a classical well-studied problem in algorithmic number theory. In this paper we consid…