Mordell's finite basis theorem revisited

DOI10.1017/S0305004100065841zbMath0601.14001OpenAlexW2090822430MaRDI QIDQ3735832

J. W. S. Cassels

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100065841

zbMATH Keywords

Diophantine approximationeffectivityrational points of algebraic curvestheorem of Mordell-Weil

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41) History of algebraic geometry (14-03) History of mathematics in the 19th century (01A55)

Related Items (4)

Computer-aided serendipity ⋮ Axel Thue in context ⋮ Engel series and Cohen-Egyptian fraction expansions ⋮ On the youthful writings of Louis J. Mordell on the Diophantine equation \(y^2-k=x^3\)

Cites Work

• Unnamed Item
• Finiteness theorems for abelian varieties over number fields.
• The arithmetic of elliptic curves
• On the conjecture of Birch and Swinnerton-Dyer
• Mordells Vermutung über rationale Punkte auf algebraischen Kurven und Funktionenkörper
• Complements à un article de Hans Grauert sur la conjecture de Mordell
• Diophantine analysis and modular forms
• L. J. Mordell
• Principal Homogeneous Spaces Over Abelian Varieties
• Rational Points of Abelian Varieties Over Function Fields
• Diophantine Equations with Special Reference To Elliptic Curves

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