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arXiv · 1711.10843

The minimum discriminant of number fields of degree 8 and signature (2,3)

Francesco Battistoni
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Abstract

In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order to give a complete classification of number fields of degree 8 and signature (2,3) with absolute discriminant less than a certain bound. The choice of this bound comes from the local corrections given by prime ideals to the lower estimates for discriminants obtained with the Odlyzko-Poitou-Serre method.

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Francesco Battistoni. 2018-09-06. The minimum discriminant of number fields of degree 8 and signature (2,3). https://doi.org/10.1016/j.jnt.2018.09.007

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