Divisibilité par 16 du nombre des classes au sens strict des corps quadratiques réels dont le deux-groupe des classes est cyclique. (Divisibility by 16 of the strict class number of real quadratic fields with cyclic 2-class group)

zbMath0622.12003MaRDI QIDQ1090711

Pierre Kaplan, Kenneth Hardy, Kenneth S. Williams

Publication date: 1986

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

real quadratic fieldquadratic diophantine equationsbiquadratic residue characterclass group in the narrow sensecyclic 2-class groupdivisibility of class number by 16

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) Class numbers of quadratic and Hermitian forms (11E41) Linear Diophantine equations (11D04) Power residues, reciprocity (11A15)

Related Items (3)

Divisibility criteria for class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ Spins of prime ideals and the negative Pell equation

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