Descent on Elliptic Curves and Hilbert's Tenth Problem

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Descent 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.
Second author added. Paper now accepted by Proc AMS

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Number Theory, Logic, 11G05, 11U05

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http://salesiana.dossiersoluciones.com/handle/123456789/170272

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.1485
 http://arxiv.org/abs/0707.1485

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arXiv