Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4
Volume 177 / 2017
Acta Arithmetica 177 (2017), 375-392
MSC: Primary 11R29; Secondary 20D15.
DOI: 10.4064/aa8485-9-2016
Published online: 6 March 2017
Abstract
We characterize all real quadratic number fields whose discriminants are a sum of two squares for which their Hilbert $2$-class fields have class number congruent to $2$ modulo $4$.
