Computer-aided serendipity

zbMath0834.11001MaRDI QIDQ1904098

J. W. S. Cassels

Publication date: 11 February 1996

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1995__93__187_0

zbMATH Keywords

elliptic curvesfactorization of polynomialscubic surfaceslocal-global principle

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Polynomials in number theory (11C08) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Special surfaces (14J25) Elliptic curves over local fields (11G07) Computational number theory (11Y99)

Cites Work

• Some cubic surfaces with no rational points
• Three Points of Great Height on Elliptic Curves
• Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
• On the Equation Y 2 = X(X 2 + p)
• Mordell's finite basis theorem revisited
• Notes on elliptic curves. II.
• On the Hasse principle for cubic surfaces
• EQUATIONS OF THE FORM f(x)=g(y)
• A conjecture concerning rational points on cubic curves
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