Period four and real quadratic fields of class number one
We quote the author's words: ``The purpose of this note is to provide criteria, in terms of prime-producing quadratic polynomials, for a real quadratic field \({\mathbb{Q}}(\sqrt{d})\) to have class number \(h(d)=1\), when the continued fraction expansion of \(\omega\) is (of period) 4 (where \(\omega =(1+\sqrt{d})/2\) if \(d\equiv 1 (\bmod 4)\) and \(\omega =\sqrt{d}\) if \(d\equiv 2,3 (mod 4))\).''
scientific article; zbMATH DE number 4156568
scientific article