Descent on Elliptic Curves and Hilbert's Tenth Problem

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dc.creatorEverest, Graham
dc.creatorEisentraeger, Kirsten
dc.date2007-07-10
dc.date2008-10-01
dc.date.accessioned2026-07-07T10:06:17Z
dc.date.available2026-07-07T10:06:17Z
dc.descriptionDescent via an isogeny on an elliptic curve is used to construct two subrings of the field of rational numbers, which are complementary in a strong sense, and for which Hilbert's Tenth Problem is undecidable. This method further develops that of Poonen, who used elliptic divisibility sequences to obtain undecidability results for some large subrings of the rational numbers.
dc.descriptionSecond author added. Paper now accepted by Proc AMS
dc.identifierhttps://arxiv.org/abs/0707.1485
dc.identifierhttp://arxiv.org/abs/0707.1485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170272
dc.subjectNumber Theory
dc.subjectLogic
dc.subject11G05, 11U05
dc.titleDescent on Elliptic Curves and Hilbert's Tenth Problem
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