paper

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

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 \cite{JNT}.

This preprint has been withdrawn, because all the results in it have been included or improved in a recent preprint. (See arXiv:1910.06252)