Remarks on a Problem of Eisenstein

Details Remarks on a Problem of Eisenstein Remarks on a Problem of Eisenstein

2006-08-30

arxiv.org/abs/math/0608741v1

Mathematics

Number Theory

4 pages

Scientific paper

The fundamental unit of $\Z[\sqrt{N}]$ for square-free $N=5 mod 8$ is either
$\epsilon$ or $\epsilon^3$ where $\epsilon$ denotes the fundamental unit of the
maximal order of $\Q(\sqrt{N})$. We give infinitely many examples for each
case.

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