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Fermat's `primitive solutions' and some arithmetic of elliptic curves

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Publication:1309347
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DOI10.1016/0019-3577(93)90041-VzbMath0787.11022MaRDI QIDQ1309347

Jaap Top

Publication date: 6 December 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)


zbMATH Keywords

elliptic curvesMordell-Weil groupFermatprimitive points


Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)


Related Items (2)

Unnamed Item ⋮ A simple method for solving the Diophantine equation \(Y^2=X^4+aX^3+bX^2+cX+d\)



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Addendum to a paper of Harada and Lang
  • Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972
  • The rank of elliptic curves
  • The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
  • Arithmetic on curves
  • Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura




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