A new family of biquadratic fields having a non-principal euclidean ideal class

2019/07/25 by Hu, Su, Li, Yan
#11R11 #11R29 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1907.10850

Abstract

In this paper, based on the theory of genus fields of biquadartic fields, we find a new larger family of biquadratic fields having a non-principal Euclidean ideal class, which implies the main results of \citeJNT.

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