Small solutions of the Legendre equation

DOI10.1006/jnth.1998.2221zbMath0908.11012OpenAlexW1975287686MaRDI QIDQ1267309

Todd Cochrane, Patrick Mitchell

Publication date: 18 March 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2221

zbMATH Keywords

congruencessmall solutionsquadratic diophantine equationsLegendre equation

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Congruences in many variables (11D79)

Related Items

Efficient solution of rational conics, Solving conics over functions fields, On parametric and matrix solutions to the Diophantine equation \(x^2+\mathrm{d} y^2- z^2=0\) where \(d\) is a positive square-free Integer, Solving quadratic equations using reduced unimodular quadratic forms, Selected Applications of LLL in Number Theory, Identification and signatures based on NP-hard problems of indefinite quadratic forms, Solutions in the discrete fractional forms of two differential equations with singular points, Solutions in the discrete fractional forms of two differential equations with singular points

Cites Work

• On the magnitude of the integer solutions of the equation \(ax^ 2 +by^ 2 +cz^ 2 = 0\)
• An Introduction to the Geometry of Numbers
• Minimal Solutions of Diophantine Equations
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