An Octic Reciprocity Law of Scholz Type

DOI10.2307/2042178zbMath0417.10002OpenAlexW4245323961MaRDI QIDQ3207029

Duncan A. Buell, Kenneth S. Williams

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042178

zbMATH Keywords

Legendre symbolclass numbers of quadratic fieldsrational reciprocity lawsfundamental unit of real quadratic fieldScholz's law

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Iwasawa theory (11R23) Power residues, reciprocity (11A15)

Related Items (2)

Algebraic number fields ⋮ A generalization of Scholz' reciprocity law

Cites Work

• Unnamed Item
• Spinor genera of binary quadratic forms
• Über die Lösbarkeit der Gleichung \(t^2-Du^2=-4\)
• On Scholz's Reciprocity Law
• Rational Reciprocity Laws
• Is there an Octic Reciprocity Law of Scholz Type?
• On the quadratic character of some quadratic surds.

This page was built for publication: An Octic Reciprocity Law of Scholz Type