On sums of consecutive squares

DOI10.1006/jnth.1997.2040zbMath0876.11024OpenAlexW1976352484MaRDI QIDQ676280

Nicholas Tzanakis, Andrew Bremner, Roelof J. Stroeker

Publication date: 26 November 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: http://repub.eur.nl/pub/109446

zbMATH Keywords

torsionelliptic curveMordell-Weil grouprankclass groupbasisdescentintegral pointsquadratic diophantine equationssum of consecutive squares

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (6)

On the Elliptic Logarithm Method for Elliptic Diophantine Equations: Reflections and an Improvement ⋮ Arithmetical properties of a sequence arising from an arctangent sum ⋮ Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\) ⋮ Diophantine equations with products of consecutive values of a quadratic polynomial ⋮ Computing all integer solutions of a genus 1 equation ⋮ On a problem of John Leech

Uses Software

• SIMATH

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