Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces

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dc.creatorHartshorne, Robin
dc.creatorvan Luijk, Ronald
dc.date2006-06-28
dc.date.accessioned2026-07-07T07:17:46Z
dc.date.available2026-07-07T07:17:46Z
dc.descriptionWe discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the problem of finding rational points on an algebraic surface in algebraic geometry. We will also reinterpret Euler's work on the second problem with a modern point of view.
dc.description11 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0606700
dc.identifierhttp://arxiv.org/abs/math/0606700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114060
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11D (primary) 11G, 14G, 14J (secondary)
dc.titleNon-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces
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