A new characterization of the integer 5906

DOI10.1007/BF01166081zbMath0516.10012MaRDI QIDQ1052366

Patrick Morton, Andrew Bremner

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154966

zbMATH Keywords

unitsquartic Diophantine equationcurves of genus threeclass- numbereighth degree extension fieldsideal-class structuresum of two rational fourth powers

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Iwasawa theory (11R23) Cubic and quartic Diophantine equations (11D25) Cyclotomic extensions (11R18)

Related Items (4)

Integers that are sums of two rational sixth powers ⋮ On the Diophantine equation $x^4+y^4=c$ ⋮ On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields ⋮ Some varieties with points only in a field extension

Cites Work

• On the conjecture of Birch and Swinnerton-Dyer
• Algebraic points on cubic hypersurfaces
• On Rédei's theory of the Pell equation.
• On the Hasse principle for cubic surfaces
• Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag
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