A diophantine equation

DOI10.1017/S0017089500006030zbMath0576.10010OpenAlexW1966637497MaRDI QIDQ3697090

J. W. S. Cassels

Publication date: 1985

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500006030

zbMATH Keywords

algebraic number fieldscubic diophantine equationscurve of genus onep-adic theorysum of three consecutive integral cubes

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Cubic and quartic Diophantine equations (11D25) (p)-adic and power series fields (11D88)

Related Items (10)

The number of solutions to y2=px(ax2+2) ⋮ On the Diophantine equation (x − d)4 + x4 + (x + d)4 = yn ⋮ PERFECT POWERS THAT ARE SUMS OF CONSECUTIVE CUBES ⋮ A note on the Diophantine equation \(y^2=px(Ax^2+2)\) ⋮ On powers that are sums of consecutive like powers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The equation $(x-d)^5+x^5+(x+d)^5=y^n$ ⋮ General solutions of sums of consecutive cubed integers equal to squared integers ⋮ Perfect powers in sum of three fifth powers

Cites Work

• The diophantine equation \(y^2+k=x^3\).
• Integral Points on Certain Elliptic Curves
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

This page was built for publication: A diophantine equation