Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4
Acta Arithmetica, Tome 177 (2017) no. 4, pp. 375-392.

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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 $4$.
DOI : 10.4064/aa8485-9-2016
Keywords: characterize real quadratic number fields whose discriminants sum squares which their hilbert class fields have class number congruent modulo nbsp

Elliot Benjamin 1 ; C. Snyder 2

1 CALCampus//P.O.Box 132 Rindge, NH 03461, U.S.A.
2 Department of Mathematics and Statistics University of Maine Orono, ME 04469, U.S.A.
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Elliot Benjamin; C. Snyder. Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4. Acta Arithmetica, Tome 177 (2017) no. 4, pp. 375-392. doi : 10.4064/aa8485-9-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8485-9-2016/

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