The rational solutions of the diophantine equation \(Y^2=X^3-D\)

DOI10.1007/BF02398279zbMath0037.02701MaRDI QIDQ2648428

J. W. S. Cassels

Publication date: 1950

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

zbMATH Keywords

Number theory

Related Items (17)

On the rank of the elliptic curve \(y^ 2=x^ 3+k\) ⋮ Unnamed Item ⋮ The Diophantine equation \(ax^3+by^3+cz^3=0\) ⋮ The Diophantine equation \(ax^3+by^3+cz^3=0\). Completion of the tables ⋮ Proving quadratic reciprocity: explanation, disagreement, transparency and depth ⋮ Some families of Mordell curves associated to cubic fields. ⋮ Reduction of elliptic curves over imaginary quadratic number fields ⋮ Elliptic divisibility sequences and certain Diophantine equations ⋮ Points S-entiers des courbes elliptiques. (S-integral points of elliptic curves) ⋮ Points \(\Delta\)-entiers sur les courbes elliptiques. (\(\Delta\)-integer points on elliptic curves) ⋮ Remarks on principal factors in a relative cubic field ⋮ Some computational aspects of, and the use of computers in, algebraic number theory ⋮ Über eine Klasse von kubischen diophantischen Gleichungen mit drei Unbekannten ⋮ A Computational Technique for Determining the Class Number of a Pure Cubic Field ⋮ Unnamed Item ⋮ The complete solution in integers of \(x^ 3+3y^ 3=2^ n\) ⋮ Periodicity mod \(q\) of elliptic sequences and \(S\)-integral points on elliptic curves

Cites Work

• Weitere Untersuchungen über die kubische diophantische Gleichung \(x^3- y^2=D\)
• Ein Analogon zu einem Nagellschen Satze über kubische diophantische Gleichungen
• ON SOME DIOPHANTINE EQUATIONS y2 = x3+k WITH NO RATIONAL SOLUTIONS
• Über die Lösbarkeit gewisser diophantischer Gleichungen dritten Grades
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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